If the current, charging a capacitor, is kept constant, then the potential difference V across t

If the current, charging a capacitor, is kept constant, then...

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Key Concepts

Capacitance

Capacitance is a measure of a capacitor's ability to store electrical charge per unit voltage. It is defined by the equation Q = C × V, where Q is the stored charge, C is the capacitance, and V is the voltage across the capacitor. This relationship forms the fundamental basis for analyzing how voltages change as a given charge accumulates in a capacitor.

Relation Between Charge, Current, and Voltage

When a constant current is applied to charge a capacitor, the rate of charge accumulation is constant, given by I = dQ/dt. Integrating this, the charge accumulated over time t is Q = I × t. This integration is crucial because it directly leads to the linear dependence of voltage on time (using the relation V = Q/C).

Constant Current Charging of a Capacitor

In a scenario where the charging current is constant, the accumulation of charge on the capacitor is linear with respect to time. Since the voltage across the capacitor is directly proportional to the accumulated charge (V = Q/C), the voltage also increases linearly with time, demonstrating a direct proportionality between voltage and time under constant current conditions.

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