a-spherical-capacitor-is-made-from-a-central-brass-ball-and-a-concentric-brass-s

Question

A central brass ball and a concentric brass shell form a spherical capacitor. The central brass ball has a radius R₁ and the shell has an inner radius of 5.10 cm. If a voltage of 180 V is applied across the plates, the central ball and the shell are charged with 5.00 nC and -5.00 nC, respectively. What are i) the capacitance (C) of the device, ii) the numerical value of R₁, and iii) the electric field (E) at the surface of the central ball?

Accepted Answer

i) C = 27.8 pF;

ii) R = 4.23 cm;

iii) E = 2.51 × 10⁴ N/C

Answer

i) C = 27.8 nF ;

ii) R = 4.23 cm;

iii) E = 1.25 × 10 ⁴ N/C

Answer

i) C = 27.8 pF;

ii) R = 6.12 cm;

iii)E = 2.51 × 10⁴ N/C

Answer

i) C = 55.6 pF;

ii) R = 8.46 cm;

iii) E = 1.25 × 10⁴ N/C

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