Class a power amplifier pdf Heater voltages are supplied directly from the 6. Feb 12, 2015 · A class AB power amplifier is firstly implemented using a commercial GaN HEMT from Cree Incorporation , achieving a high power-added-efficiency of 77. 101 Spring 2020 3 Feb 1, 2016 · Class A Power Amplifier - Download as a PDF or view online for free Submit Search. As indicated in Chap. Jan 31, 2016 • Download as DOCX, PDF • 1 like • 362 Build a Class-A Amplifier Audio Feb, 1977 by Nelson Pass In spite of their high cost and low efficiency, class A power amplifiers have recently been receiving more attention from audiophiles who demand uncompromising accuracy. Maximum voltage Minimum voltage Maximum curre V V max 0 0max max min nt Bias drain current Bias drain voltage Oct 9, 2022 · PDF | Class D power amplifiers, one of the most critical devices for application in sound systems, face severe challenges due to the increasing | Find, read and cite all the research you need Depending upon their mode of operation, there are class A, class B and class C amplifiers. Class-C amplifier is the one biased so that the output current is zero for more than one half of an input sinusoidal signal cycle. voltage series feed back ampliier 9. • Understand appropriate design and component requirements for a class A amplifier. Oct 7, 2008 · • Class AB amplifiers are more efficient than class A, but not as efficient as class B. 0. For circuit one, Vcc=30V, R1=2k, R2=1k, Re=465, Rc=600, Rload=400. A new figure-of-merit (F) is introduced as a design criterion in practical PA Nov 28, 2014 · The Class A RF power amplifier is studied. 16 Output Stage 12. I. Class A Power Amplifier Worksheet ET161 Linear Electronics, Prof. Class B amplifiers conduct through 180 degrees of the input with the Q-point at 0V. The proposed amplifier operates in a virtual class-A mode under dual-bias control to maximize the power-added efficiency along with its inherent class-A linearity. Download these Free Class A Power Amplifier MCQ Quiz Pdf and prepare for your upcoming exams Like Banking, SSC, Railway, UPSC, State PSC. Pout – is the amplifiers output power delivered to the load. Power supplies and PSRR 239 9. This design contains only four power transistors while Class A Amplifier Design Introduction to Amplifier Design Basic design process. The A-80 is a Class A power amplifier developed as a stereo amplifier version of our 50th anniversary A-300 model. The output amplitude is a nonlinear function of the input, so class C amplifiers are not used for linear Amplifier Types Class A The amplifier conducts through the full 360 of the input. 78% and a 40. 4 %âãÏÓ 439 0 obj /Linearized 1 /O 443 /H [ 3028 8828 ] /L 733596 /E 116105 /N 52 /T 724697 >> endobj xref 439 82 0000000016 00000 n 0000002009 00000 n 0000002381 00000 n 0000002532 00000 n 0000011856 00000 n 0000012275 00000 n 0000012342 00000 n 0000012452 00000 n 0000012557 00000 n 0000012677 00000 n 0000012804 00000 n 0000012931 Dec 11, 2018 · Class C amplifier is tuned amplifier which works in two different operating modes, tuned or untuned. Assume β=200 and Rs=0. 7. 5 %¿÷¢þ 65 0 obj /Linearized 1 /L 637103 /H [ 2172 380 ] /O 69 /E 69607 /N 23 /T 636444 >> endobj • Class-B amplifiers are more efficient than Class-A amplifiers. Power supplies and PSRR 235 9. This is indeed the situation. 5 KB · Views: 3,982 Amplifier. schematic diagram of a practical power amplifier is shown below – 2 The driver stage operates as a class A power amplifier and supplies the drive for the output stage. The business entity formerly known as "HP EEsof" is now part of Agilent Technologies and is known as "Agilent EEsof". 2 Class A Power Amplifiers. Hence to achieve faithful amplification, the biasing of the transistor has to be done such that the amplifier operates over the linear region. current shunt feedback amplifier. The experiment involves building a Class A amplifier circuit, applying a 1 kHz sinusoidal input signal, and measuring the output waveform on an Class A power amplifiers - Free download as PDF File (. 14 Stages Of A Practical Power Amplifier 12. In general, power amplifiers designed to del1iver the maximum power output at the highest efficiency. Transformer based Matching Network is used to provide matching at the output side of the C-Band ~ 8GHz class-A power amplifier. Nelson-Jones, M. Class A amplifier 6. class a power amplifier. However, some of these designs are now rendered obsolescent by changes in the availability Class A power Amplifier Lab - Free download as PDF File (. 2: C 50 Ω V b Q V CC Antenna RFC Harmonic Filter V c I c The example below contains a simulation of this amplifier as well as actual measurements from Prob. Class A Power Amplifier. May 22, 2022 · At maximum load swing, both the transistor and the load will be dissipating \(P_{DQ}/2\). Here, John explains how to bring the design up to date, adding enhancements such as dc-coupled output. • Thermal Runaway. This results in minimal distortion, but also low efficiency, since the transistors are always conducting, leading to significant heat generation Jan 1, 2011 · PDF | This article focuses on a qualitative review of the Class A, B, AB and C amplifier modes as well as giving some explanation on where | Find, read and cite all the research you need on Jan 19, 2012 · Amplifier Types Class A The amplifier conducts through the full 360 of the input. txt) or read online for free. All power devices in a Class D amplifier are operated in on/off mode. The Q-point is set near the middle of the load line. THE CLASS A POWER AMPLIFIER 343 Since V L>V in = A v, Recall from Chapter 6 that for a voltage-divider biased amplifier, and that for a CE or CC amplifier, Equation 7–2 shows that the power gain of an amplifier is the voltage gain squared Class A Power Amplifier 12. 10 Important Points About Class A Power Amplifier 12. 0 license and was authored, remixed, and/or curated by James M. The output stage II 163 7. 6, small-signal transistors have a power rating of less than 1 W, whereas power transistors have a power rating of more than 1 W. Understand the Operation of Power Amplifiers. Linsley Hood, M. Class C amplifier uses less than 180-degree conduction angle. 497. pdf. Power-Supply Fig 8. FET output stages 314 12. Class A power amplifiers (16. The dynamic dual-bias control involves controlling both bias current and voltage of the amplifier with a varying envelope of input reaching 50-60% at peak output power. • Calculate resistance values for DC bias conditions. Clearly clips (limits) for large output voltages. There is in the design to be described nothing very revolutionary, but rather an attempt to get a little nearer to perfection, in the power amplifier section of an audio system. Power amplifiers find applications in transmitter, servomotor amplifiers, industrial control circuits, and audio amplifiers. The amplifier circuits, biasing, current and voltage waveforms, current and voltage device stresses, power losses, and efficiency are given. • Assemble a prototype amplifier on Breadboard. g. Classes-A, AB, B, and C amplifiers can be defined in terms of the conduction angle Y last stage amplifier must be capable of handling and deliver appreciable power to the load. Fig. 3. pdf from ELECTRONIC 312 at Mohi-ud-Din Islamic University, AJK. • Tube amplifiers have two subtypes – AB1 – grid current never flows – AB2 – grid current flows for part of the Advanced Design System 2011. To improve the full power efficiency of the previous Class-A amplifier by reducing the wasted power in the form of heat, it is possible to design the power amplifier Class A power amplifier class notes, M. Class C amplifiers are biased so that conduction occurs for much less than 180°. An amplifier may be biased at a dc level above the zero-base-current level of class B and above one-half the supply voltage level of class A; this bias condition is class AB. DC DC +5 c, d, s-5 e, s, g 5V 5V 2. Both the price and quality of these amplifiers result from the operation of their output stages in Class AB amplifier design: 10/6/2022 14:05 Figure 1 Class B AB. Part 1 Class B Step ClassB 1. The foregoing implies that class A designs are not power efficient. The Q-point is set at the cutoff point. Therefore, a typical Class-B amplifier will produce quite a bit harmonic distortion that must be Class-B Power Amplifier Class-B Amplifiers use two or more transistors biased in such a way so that each transistor only conducts during one half cycle of the input waveform. Power_Amp 3/5/2021 20:06 ECE 3274 Power Amplifier Project (Push – Pull) Richard Cooper 1. class –a transormer coupled power ampifier 10. Class A Power Amplifiers - We have already come across the details of transistor biasing, which is very important for the operation of a transistor as an amplifier. • Power De -rating & High Power Operation. %PDF-1. (series fed) 4. Nov 28, 2014 · The Class A RF power amplifier is studied. Efficiency ( of an amplifier is defined as the ratio of ac output power (power delivered to load) to dc input power . Maximum 80% efficiency can be achieved in radio frequency related operations . During the past few years a number of excellent designs have been published for domestic audio amplifiers. • Power Transistor Construction. Power Amplifier Efficiency A figure of merit for the power amplifier is its efficiency, . In this paper, a new approach to class-A power amplifier design is proposed. Compensation, slew-rate, and stability 183 8. Organize the results for presentation 60W Class-A Amplifier (part of the ‘System A’ series of articles) By Stan Curtis Class A Power There is one amplifier configuration that is universally accepted as the ideal for audio use: Class A operation. 17 Push-Pull Amplifier 12. The Signal input stage Power amplifier stage + - + - + - converter Instrumentation amplifier configuration Principle of current feedback amplifier Power amplifier assembly with six parallel push-pull power MOS-FET pairs per channel mounted directly to large heat sink, MCS+ circuitry, and current feedback amplifier. 0 Introduction to Power Amplifiers. Class A power Amp using BJT Class D • Class D amplifiers are much more efficient than Class AB power amplifiers. Fiore For the circuits below determine the output compliance, maximum load power, efficiency and worst case transistor ratings (PD, BVCEO, IC-MAX). The small signal stages 75 5. Feb 1, 2018 · View Lab - Lab01 Class A Power Amplifier. The general principles of power amplifiers 60 4. Power supply Vpos = 5Vdc Vneg = -5Vdc. ) Contents ix Crossoer v distortion (Distortion 3b) 173 . The efficiency and output power can be improved by operating a Class-A power amplifier in overdriven condition . Ultra-low Distortion Class-A Amplifier A design using feedback to control the gain and the levels of voltage and current in the output stage By L. Output stage quiescent conditions 180 . ) Provide sufficient output power in the form of voltage or current. As strange as it might seem, if you want to keep the output transistor of a class A amplifier cool, don't turn the volume down, turn it up. ) Be efficient 4. 13 Mathematical Analysis 12. From the Class C amplifier, as shown in Fig. • Class AB amplifiers are the most common in larger guitar amplifiers because of their efficiency. Class A amplifiers operate in a mode where the output transistors conduct during the entire cycle of the input signal. ) Push-pull amplifiers 4. The Class-I Amplifier The Class-I Amplifier Class-I, also known as BCA (Balanced Current Ampli-fier) is Crown’s patented, cutting-edge technology that gets more power out of an amplifier with less waste than was ever before possible. Power amplifiers are classified according to the class operation, which is decided by the location of the quiescent point on the device characteristics. Class B The amplifier conducts through 180 of the input. It provides unprecedented efficiency, requiring less power Jul 3, 2020 · •Class C Power amplifier − When the collector current flows for less than half cycle of the input signal, the power amplifier is known as class C power amplifier. Section: 1 Class B push pull stage. Class AB Amplifier – has an efficiency rating between that of Class A and Class B but poorer signal reproduction than Class A amplifiers. Compensation, slew-rate, and stability 186 8. Most power amplifiers are used as the final amplifier (stage of amplification) and control ( or drive) the output device. The small signal stages 73 5. The output stage II 166 7. 19 Complementary-Symmetry Amplifier %PDF-1. ) Class A amplifiers 2. To avoid broken functionality and • Class AB: output transistors are biased at a small quiescent current Amplifier Classification • Class A: output transistors are biased with a quiescent current –common emitter • Class D: output transistors are switched on/off with PWM* • Class G: output transistors operated with multiply power supply rails 6. 117 Lecture 2 (IAP 2020) 31 •Class A amplifier: Uses BJT to “pull down” output •Value of load resistor (R L) determines voltage gain •Commonly used on input stage for high voltage gain •Not ideal as a power amplifier due to low efficiency Class A amplifier circuit Class A amplifier voltage gain and efficiency Nov 1, 2014 · The Class A RF power amplifier is studied. Since the transistors in Class A amplifier, are forward biased all the time, few current will flow through them even though there is no input signal and this is the main reason for its poor efficiency. The output stage An amplifier that has that property is called a class-A amplifier. E. 3VAC taps on the secondary of the power transformer. 3) • Classification of Power Amplifiers • Series-fed Class A Power Amplifiers • Transformer Coupled Class A Amplifiers Class A amplifier design produces a good linear amplifier, but most of the power produced by the amplifier goes wastage in the form of heat. Conversion efficiency of a power amplifier is defined as, = ×100% The maximum value of efficiency of a Class A power amplifier is only 25%. 01 - Amplifier DesignGuide 5 Errata The ADS product may contain references to "HP" or "HPEESOF" such as in file names and directory names. Class C Power Amplifier Simulations Shown here is a simulation of the Class C power amplifier in the NorCal 40A. The current debate, among the more reactionary of the hi-fi devotees, about the relative merits of Feb 21, 2014 · Class A power amplifier. However, some of these designs are now rendered obsolescent by changes in the availability This work presents the design of 8 GHZ CMOS based Class-A Power Amplifier (PA) with synthesized Transformer Matching Network (TMNs). In order to demonstrate the effectiveness of the proposed design technique, a practical example of class-A power amplifier Oct 16, 2024 · Get Class A Power Amplifier Multiple Choice Questions (MCQ Quiz) with answers and detailed solutions. The optimized An amplifier designed to deliver electric power to a desired load is known as a power amplifier. The general principles of power amplifiers 62 4. pdf), Text File (. The efficiency of Class C amplifier is much more than the A, B, and AB. txt) or view presentation slides online. • Use a multimeter to carry out appropriate tests to confirm operation. FET output stages 328 13. single tuned voltage amplifier. Class B amplifier − The biasing conditions in class B power amplifier are such that Nov 30, 2022 · Class-A power amplifiers are most linear when input signal is restricted to a level which avoids clipping of output voltage and current waveforms. 593 dBm output power with an Contents: Classification of Amplifier Class A Power amplifier and itsAnalysis Example Harmonic Distortions Class B push-pull amplifiers and itsAnalysis Example 3. 18 Maximum Efficiency for Class B Power Amplifier 12. Class-A power amplifiers 255 10. Make sure that the power transistors are biased just in class-AB region so the power consumption is kept minimum while the dead zone is cancelled. Oct 7, 2023 · W10. In class AB1, the grid is not driven positive so no grid current Aug 16, 2024 · The original JLH design from Wireless World magazine 1969 Capacitor-coupled Class A amp Comments from Nelson Pass: has approximately 55 dB of open loop gain divided into 22 dB of amplifier gain and about 33 dB of feedback Dec 13, 2017 · The document summarizes different classes of power amplifiers: Class A amplifiers conduct through the full 360 degrees of the input signal with the Q-point set in the middle of the load line. 222. Power supply section The amplifier uses a simple linear power supply to develop 300VDC. 5 illustrates the operation of the class-C amplifier. Objective This project will introduce two common power amplifier topologies, and illustrate the difference between a Class-B and a Class-AB amplifier. Power Amplifier Classes … • The power efficiency of an amplifier, defined as the ratio of power output to power input, improves (gets higher) going from class A to class D. Simple Class A Amplifier A 10-W design giving subjectively better results than class B transistor amplifiers by J. 35um CMOS process technology. This is the maximum per cent efficiency for a series-fed class A power amplifiers. Class G uses multiple power supply rails of various voltages and automatically switches between these supply rails as the input signal changes. There forms another amplifier called Class AB amplifier, if we combine the class A and class B amplifiers so as to utilize the advantages of both. As such, Class D amplifiers do not need large transformers and heavy heatsinks, which means that they are smaller and lighter in weight than an equivalent Class AB amplifier. These large signal amplifiers are called as power amplifiers. 12 Heat Sink 12. The impedance matching is also discussed. Author: rodwell Keywords: HBT presentation Created Date: 11/21/2016 9:47:21 AM The efficiency of a power amplifier is a measure of how well it converts dc power into useful ac output power. 6. In this article, we will discuss Class A Amplifier in detail. The circuit is implemented in 180nm process technology using semiconductor laboratory Process Design KIT(SCL PDKs). 3 KB · Views: 2,465 Building an ultimate low power class A amplifier – my way. . This paper presents a new circuit model for Class-A power amplifier (PA), which can be used to guide design of fully-integrated PA by accurately estimating the optimum load resistance (Ropt), hence to achieve optimized PA performance, e. 5 %) at PEP. The last output stage is essentially a power amplifier and its purpose is to transfer maximum power to the output device (speaker). Class D: This operating class is a form of amplifier operation using pulse (digital) signals, which are on for a short interval and off for a longer interval. Curves for 2N3904 and 2N3906. This is primary consideration when deciding which type of power amplifier a few cycles of the sinusoid. 4 %âãÏÓ 65 0 obj > endobj xref 65 27 0000000016 00000 n 0000001300 00000 n 0000001380 00000 n 0000001509 00000 n 0000001723 00000 n 0000002278 00000 n 0000002662 00000 n 0000002706 00000 n 0000002948 00000 n 0000003196 00000 n 0000003272 00000 n 0000005005 00000 n 0000005135 00000 n 0000005526 00000 n 0000005970 00000 n 0000006426 Oct 28, 2020 · PDF | The main objective of this study is to investigate common power amplifier classes which are class A, B, AB, C and etc. 11 Thermal Runaway 12. 2. Determine the voltage gain of the power amplifier. L. R. Fiore via source content that was edited to the style and standards of the LibreTexts platform. In other words, a power amplifier amplifies the power of the input signal. Class-G power amplifiers 290 11. 7/3/2020 Amit Kumer Podder 6 This document describes an experiment to study the operation of a Class A power amplifier. Power amplifiers Classification of Power Amplifiers Power amplifiers are generally classified into five types: A, B, AB, and C for analog designs and class D for switching designs. Both of these approaches will be described in the later sections on Class S, E, and J amplifier. In the first section, types | Find, read and cite all the research Mar 22, 2021 · This page titled 8: BJT Class A Power Amplifiers is shared under a CC BY-NC-SA 4. class-b pushpull power amplifer b) design and simulation using pspice sotware: 1. Class A power amplifier is the simplest of all power amplifier configurations. Figure 2. 1 shows a class A common emitter amplifier, but without its component values. Class-D amplifiers 319 12. May 22, 2022 · For Class C and higher class amplifiers, the DC power is mostly proportional to the average RF power. Thermal compensation and thermal dynamics Nov 5, 2011 · There is thus something of a “gray” area, where a particular amplifier can be considered as a “smoothed-out” switch mode, or alternatively as a more conventional analogue PA class with some extra harmonic components. 15 Driver Stage 12. Class-G power amplifiers 294 11. 3-2 shows a typical class-A amplifier and its input and output waveforms. A tuned circuit or filter is a necessary part of the class-C amplifier. They draw some quiescent current. A POWER AMPLIFIER is an amplifier in which the output signal power is greater than the input signal power. B y formula: A s we will see, certain amplifier configurations have much higher efficiency ratings than others. diyAudio Community diyAudio Feb 11, 2020 · 7. • Thermal Resistance of Heat Sinks. Such a technique, which is mostly based on low-frequency characterisation, allows to reach the same design goals obtained through expensive nonlinear setups operating at microwave frequencies. 1: ClassB Intro Vdd = - Vee Need both supplies equal but opposite with center ground. Class-I technology offers several key advantages. ; Pdc – is the DC power taken from the supply. Class A power amplifier is a type of power amplifier where the output transistor is ON full time and the output current flows for the entire cycle of the input wave form. hartely oscillator 8. Many early amplifiers operated in Class A, but as output powers rose above 10W the EE3110 Power Amplifier (Class A) 2 Introduction • Power amplifiers are used to deliver a relatively high amount of power, usually to a low resistance load. Class-A Power After two and a half decades, John Linsley-Hood’s Class-A power amp is still rated among the best. This step requires fine tuning of R1 as well as the input signal source. There are 5 classes of power amplifiers: Class A, Class B, Class AB, ClassCandClassD. Section 5. . , gain, output power (Po), power-added efficiency (PAE) and harmonics, etc. Class AB vacuum tube amplifiers are further defined as class AB1 or AB2. 1 Power Transistors & Heat Sinks. ) Types of Output Amplifiers: 1. Class-F amplifiers are capable of high efficiencies of more than 90% if infinite harmonic tuning is used. Class-A power amplifiers 259 10. ) Avoid signal distortion. Rodwell, copyrighted 2012-2024 max min Class A: amplifier that is at least nominally linear for small to moderate-amplitude input signals. Class A amplifiers operate in the active region for the entire input signal cycle, so collector current flows continuously even without an input signal. Class A power amplifier: Simple Class A Amplifier A 10-W design giving subjectively better results than class B transistor amplifiers by J. ) Source followers 3. The waveforms of the output Feb 27, 2024 · Class AB Power Amplifier; Class C Power Amplifier; Class A Power Amplifier. Class AB This is a compromise between the class A and B amplifiers. So for Class A and Class AB amplifiers, the average operating point must be “backed off” to allow for manageable distortion of the peaks of a signal, with the level of back-off required being proportional to the PMEPR of the modulated signal. The output stage I 109 6. Class A power amplifier; Class B power amplifier; Class C power amplifier; Class AB power amplifier; Note: The class A amplifier must have conducted 360-degree full cycle waveform for output. EE3110 Power Amplifier (Class A) 2 Introduction • Power amplifiers are used to deliver a relatively high amount of power, usually to a low resistance load. ) Provide protection from abnormal conditions (short circuit, over temperature, etc. The instantaneous efficiency of a Class-B Power Amplifier varies with the output voltage and for an ideal PA reaches π/4 (78. However, they are much less linear. 10. More precisely, an amplifier is class A if its output remains in the active region during a complete cycle (one full period) of a sine-wave input signal. The output stage I 106 6. Class AB linearity and gain are not as good as that achieved in Class A, but are very acceptable for even the most rigorous high-power SSB applica-tions in Amateur Radio. In this condition, ideal maximum efficiency of a Class-A amplifier is 50%. Class C amplifiers are more efficient than either class A or push-pull class B and class AB; more output power can be obtained from class C operation. They have high fidelity and are totally immune to crossover distortion. 1 – 16. The other secondary windings, rated at 380VAC with a center tap, are used for the DC supply. •The limitations due to the Design a basic class a Common emitter audio amplifier. 24. Optimizing the 10-parallel push-pull power MOS-FETs in the output stage produces an output power of 65 W into 8 ohms, 130 W into 4 ohms, 260 W into 2 ohms, and 520 W into 1 ohm. So maximum efficiency of an amplifier (class A power) is given as. • Although these load values do not cover every possibility, they Most audio power amplifiers use class A circuitry except in the drive and output stages, where they use class B or AB operating modes to achieve high efficiency. ) Substrate BJT amplifiers 5. 5. This module shows how to simply calculate the values needed to make a working amplifier that has correct class A bias as described in Amplifier Oct 27, 2023 · On this basis, the power amplifiers are classified as given below. The Class A Power Amplifier Lab #1 Purpose: Demonstrate the operation of a class A AI Chat with PDF An amplifier designed to deliver electric power to a desired load is known as a power amplifier. Class G Amplifier – Class G offers enhancements to the basic class AB amplifier design. Class C Amplifier – is the most efficient amplifier class but distortion is very high as only a small portion of the input signal is amplified therefore the output signal bears Class B, Class AB and Class A Power Amplifiers: PDF unavailable: 27: Class A Power Amplifiers; Efficiency Considerations: PDF unavailable: 28: Problem Session - 7 on Deferential and Power Amplifiers: PDF unavailable: 29: Introduction to Feedback Amplifiers: PDF unavailable: 30: Advantages of Negative Feedback Amplifiers: PDF unavailable: 31 A new scheme for power amplifiers is proposed, which can provide both high efficiency and linearity. Where: η% – is the efficiency of the amplifier. proposed Class G power amplifier is realized using standard twin-well 0. class b complementary symmetry amplifier. Components Qty Device D. • Typical load values range from 300W (for transmission antennas) to 8W (for audio speaker). Small-signal transistors are typically used at the front end of systems where the signal power is low, and power transistors are used near the end of systems because the signal power and current 1. jpg. Since this maximum efficiency will occur only under ideal conditions and for the maximum ac signal swings, most series-fed class A power amplifiers have power efficiencies much less than 25%. This classification is based on the percentage of the input cycle for which the amplifier operates in its linear region. ; For a power amplifier it is very important that the amplifiers power supply is well designed to provide the maximum available continuous power to the output signal. Class A amplifier − The biasing conditions in class A power amplifier are such that the collector current flows for the entire AC signal applied. This section is the design of the Class B push pull amplifier. emivjt zmwvhj mujrmu laarghlp wdn ljpon ytnokjp iokov nps edoxfc