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QPage 163: Q2: HC Verma: Concepts of Physics - Volume 2 Capacitors Page 163: Q2 Solution: As , can you say that the capacitance is proportional to the…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often read $C=Q/V$ and mistakenly hold $V$ fixed, concluding $C\propto Q$. Remember that $C$ is defined as the ratio of charge to voltage; it is a property of the geometry and dielectric, independent of the amount of charge. Changing $Q$ inevitably changes $V$ so the ratio – the capacitance – remains constant.

As C=1/V)QC = 1/V)Q, can you say that the capacitance CC is proportional to the charge QQ?

Step-by-Step Verified Solution

**Answer:** No, capacitance CC is not proportional to charge QQ. **Step-by-Step Explanation:** The relation C=Q/VC = Q/V is a definition of capacitance. The capacitance is a geometric property of the capacitor, depending only on the size, shape, and separation of the conductors, and the dielectric material between them. It is independent of the charge QQ or potential VV .

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