Question Bank NAT • 2 Marks Section 3: Electromagnetic Theory Electrostatics and Magnetostatics

QB_PH_074: Electrostatics and Magnetostatics

Question Statement

A spherical capacitor has shells of radii $a = 1\text{ cm}$ and $b = 2\text{ cm}$ in vacuum. Its capacitance in pF is (use $1/(4\pi\epsilon_0) = 9 \times 10^9$, rounded to two decimal places):
Correct Answer
2.2, 2.25
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: $C = 4\pi\epsilon_0 \frac{ab}{b - a} = \frac{1}{9 \times 10^9}\frac{0.0002}{0.01} = 2.22\text{ pF}$.
← Prev (QB_PH_073) Next (QB_PH_075) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and official TCS iON calculator.

Launch CBT Mock Test