AP EAMCET · PHYSICS · Capacitance
The radii of the inner and outer spheres of a spherical capacitor are 8 cm and 9 cm respectively. The outer sphere is earthed and the inner sphere is charged. If the space between the concentric spheres is filled with a liquid of dielectric constant 5, the capacitance of the capacitor is
- A 400 pF
- B 40 pF
- C \(400 \mu \mathrm{~F}\)
- D \(40 \mu \mathrm{~F}\)
Answer & Solution
Correct Answer
(A) 400 pF
Step-by-step Solution
Detailed explanation
\(C = \frac{4 \pi \epsilon_0 K r_1 r_2}{r_2 - r_1}\) \(C = \frac{1}{9 \times 10^9} \times 5 \times \frac{(0.08)(0.09)}{0.09 - 0.08}\) \(C = \frac{5}{9 \times 10^9} \times \frac{0.0072}{0.01}\) \(C = \frac{5 \times 0.72}{9 \times 10^9}\)…
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