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QPages 328-329: Q1: HC Verma: Concepts of Physics - Volume 2 Alternating Current Pages 328-329: Q1 Solution: What is the reactance of a capacitor connected to a constant DC …

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often plug ω=0 into $X_C=1/(omega C)$ and claim the expression is undefined or zero, forgetting that $1/0$ tends to $\infty$. Remember that for a pure DC source ($\omega=0$) a capacitor behaves like an open circuit, i.e., an infinite reactance, not a short.

What is the reactance of a capacitor connected to a constant DC source?

Step-by-Step Verified Solution

**Answer:** Infinite. **Step-by-Step Explanation:** For a DC source, the angular frequency ω=0\omega = 0. The reactance of a capacitor is given by XC=1ωCX_C = \frac{1}{\omega C}. As ω→0\omega \to 0, XC→∞X_C \to \infty. Hence, a capacitor acts as an infinite resistance for DC and blocks it completely [citation:14][citation:16].

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