Capacitors
Capacitors
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- Created by: Laura Charles
- Created on: 09-05-12 21:13
What is Capacitance?
Definition of Capacitance
- Capacitance is defined as the amount of charge stored per volt
- C=Q/V
- Capacitance is measured in Farads(F)
- Farads are a big unit- therefore usually in micro/nano/pico farads
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Practicals involving Capacitors
You can investigate the Charge stored by a Capacitor Experimentally
- Set up a test circuit to measure current and potential difference
- Constantly adjust the variable resistor to keep charging current constant for as long as possible
- NB-it is impossible to keep charging current constant when capicitor is nearly fully charged
- At regualr intervals record p.d until it equals the battery p.d
- It is then possible to plot graphs of Current(I)/Amps vs Time(t)/seconds and Charge(Q)/Coulombs vs Potential Difference(V)/Volts
- Gradient of Q/p.d is Capacitance
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Capacitance and Energy
Capacitors store Energy
- When charge builds up on plates of the capacitor, electrical energy is stored
- Area under graph of p.d vs charge stored=energy stored in the capacitor
- p.d across the capacitor is proportional to charge stored on it
- therefore the graph will be a straight line through the origin
- Area under graph(triangle) -E=1/2xQV
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Charging a Capacitor
A capacitor can be charged by connecting it to a battery
- when connected to a battery, a current flows in circuit until capacitor is fully charged, then stops
- Electrons flow onto negative terminal plate- (-ve) charge builds
- Build up of (-ve) charge repels electrons off plate connected to positive terminal of battery, making that plate positive
- These electrons are attracted to the positive terminal of the battery
- An equal and opposite charge builds plates. Causes Potential Difference between them (NB-no charge can flow between plates-Insulator)
- Current starts high. As more charge builds up electrostatic repulsion makes it more difficult for electrons to be deposited
- When p.d across capacitor=p.d across battery, current is 0
- Capacitor is now fully charged
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Discharging a Capacitor
To Discharge a Capacitor, Take out the Battery and Reconnect the Current
- When a charged capacitor is connected across a resistor, the p.d drives a current through the circuit
- This current flows in opposite direction from charging current
- If a voltage sensor attached to a datalogger is connected across the capacitor , a discharge curve can be plotted
- Capacitor is fully discharged when p.d across plates and current in circuit are both zero.
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Charging and Discharging
The Time Taken to charge or discharge depends on:
- Capacitance of Capacitor (C). This affects the amount of charge that can be transferred at a given voltage.
- Resistance of circuit (R). This affects the current in the circuit.
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Charging and Discharging
The Charge on a Capacitor Decreases Exponentially
- When the capacitor discharges, the charge left on the plates falls exponentially with time
- Therefore it always takes the same length of time for the charge to halve, no matter how much charge you start with
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Time Constant = RC
- Time constant, is time taken for charge on a discharging capacitor to fall to 37% of Qo
- Therefore its also time taken for charge of a charging capacitor to rise to 63% of Qo
- The larger the resistance in series with the capacitor the longer it takes to charge/discharge
- In practice, time taken for capacitor to charge/discharge fully is about 5RC
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