Explain why the current in a capacitor charging circuit will eventually drop to zero.
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The power supply causes current to flow around the circuit, drawing charge from one side of the capacitor to the other. The charge on the plates results in a voltage across the capacitor in the opposite direction to the power supply. As the charge increases, the voltage increases. When the capacitor voltage is equal to the supply voltage, the voltages cancel each other out so there is a net voltage of 0; V=IR so current will drop to 0
All good here Michael.
An alternate way of explaining this could be to talk about the charge build up on each capacitor plate opposing the current from the battery/cell/powersuppy and so limiting the current able to flow. This continues to become a larger and larger effect until eventually the amount of charge accumulated on the capacitor plates will not allow any more charge on, thus the current drops to zero.