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In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current (in Amperes) through the resistor is 2sin(t + π/2). The displacement current (in Amperes) through the capacitor is ________.

1. 2sin(t)
2. 2sin(t + π)
3. 2sin(t + π/2)
4. 0

Correct answer: 2sin(t + π/2)

Solution

In a series circuit, the conduction current through the resistor and the displacement current through the capacitor are equal. Since the conduction current is given as 2sin(t + π/2), the displacement current must also be 2sin(t + π/2) to maintain continuity in the circuit.

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