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Question

A parallel RLC circuit is being supplied by a DC source as shown in the figure below. What is the value of current flowing through the capacitor (in A)?

The correct answer is
0

To determine the current flowing through the capacitor in the given parallel RLC circuit supplied by a DC source, we need to analyze how each component behaves with a DC input.

Step-by-step Explanation:

  1. The circuit consists of a resistor (R), an inductor (L), and a capacitor (C) connected in parallel across a DC voltage source of 10 V.
  2. In a DC steady state, the inductor behaves as a short circuit, and the capacitor behaves as an open circuit. This is because the impedance of the capacitor becomes infinite and the impedance of the inductor becomes zero at DC.
  3. Therefore, after the initial transient response has settled, the current through the capacitor will be zero because it acts as an open circuit in steady state DC conditions.
  4. Thus, the value of the current flowing through the capacitor is \(0 \, \text{A}\).

Conclusion:

Since the capacitor acts as an open circuit under DC steady state, the correct answer is 0 A.

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