3.7.4.4
Charging graphs: current decays, charge and p.d. rise
Capacitance & Charge/Discharge — AQA A-Level Physics
- When charging through a resistor from a battery:
- Electrons are pushed from the positive plate to the negative plate by the powerThe rate of energy transfer. Measured in watts (W). supply.
- At first, the currentThe rate of flow of chargeA property of matter that causes it to experience a force in an electromagnetic field. Measured in coulombs (C).. Measured in amperes (A). is large because there is little repulsion on the plates.
- As chargeA property of matter that causes it to experience a force in an electromagnetic field. Measured in coulombs (C). builds up, the repulsion increases and the currentThe rate of flow of chargeA property of matter that causes it to experience a force in an electromagnetic field. Measured in coulombs (C).. Measured in amperes (A). drops.
- The currentThe rate of flow of charge. Measured in amperes (A). decreases exponentially to zero.
- The charge and p.d. increase exponentially from zero towards their maximum values (Q0 and V0).
Key features of charging graphs
- Current vs time: starts at I0, decays exponentially to zero.
- Charge vs time: starts at 0, rises exponentially towards Q0.
- P.d. vs time: identical shape to charge vs time -- starts at 0, rises towards V0.
- The charge and p.d. graphs have the same shape because Q is directly proportional to V ($C = Q/V)$.