Question Detail
Question
The relation between current and voltage in a capacitor is:
Correct Answer
Option B is the correct answer.
Detailed Explanation
The charge (Q) stored in a capacitor is directly proportional to the voltage (V) across it, given by Q = CV.Current (I) is defined as the rate of change of charge with respect to time, I = dQ/dt.Substituting Q = CV into the current definition:I = d(CV)/dtSince C is a constant for a given capacitor, it can be taken out of the differentiation:I = C(dV/dt)This equation shows that the current through a capacitor is proportional to the rate of change of voltage across it.
Hint
Start with the fundamental relationship between charge, capacitance, and voltage (Q=CV), then recall the definition of current as the rate of change of charge.