#8a. The space between two concentric conducting spherical shells of radii b = 3

Question

#8a. The space between two concentric conducting spherical shells of radii b = 3.80 cm and a = 0.22 cm is completely filled with a dielectric material that has dielectric strength 12 kV/mm. The capacitance is determined to be 485 pF. Determine the dielectric constant. Give your answer in the form "abcd".# 8b. Determine magnitude of the free charge q on the plates of the capacitor when a potential difference of 5.0 V exists between the terminals of it. Give your answer in the form "a.bc x 10^(y)" micro-Coulomb.

Explanation / Answer

Capacitance of spherical Capacitor is given by C = 4pieo)(ab/b-a)

where eo is constant = 8.85 e-12

a is inner radius, b is outer radius

so here we apply

C = 4*3.14 * 8.85 e-12 *(0.038 * 0.022)/(0.038-0.022)

C = 5.807 pF

so now Use C = kCo in case on Dieelcric Constant

k = C/Co

K = 485pF/5.807

K = 83.51

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applky Charge Q = CV

so Charge Q = 485 e-12 * 5

Q = 2.425 *10^-9 C

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