AP EAMCET · PHYSICS · Capacitance
The capacitance of a spherical capacitor is 100 pF. If the spacing between the two spheres is 1 cm, then the radius of the inner sphere of the capacitor is
- A 9 cm
- B 10 cm
- C 19 cm
- D 20 cm
Answer & Solution
Correct Answer
(A) 9 cm
Step-by-step Solution
Detailed explanation
\( C = \frac{4 \pi \epsilon_0 r_1 r_2}{r_2 - r_1} \) \( d = r_2 - r_1 \Rightarrow r_2 = r_1 + d \) \( C = \frac{4 \pi \epsilon_0 r_1 (r_1 + d)}{d} \) \( r_1^2 + r_1 d - \frac{C d}{4 \pi \epsilon_0} = 0 \)…
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