Question

The space between two concentric conducting spherical shells of radii b = 1.70 cm and a...

The space between two concentric conducting spherical shells of radii b = 1.70 cm and a = 1.20 cm is filled with a substance of dielectric constant κ = 20.5. A potential difference V = 62.0 V is applied across the inner and outer shells.

(a) Determine the capacitance of the device.

(b) Determine the free charge q on the inner shell.


(c) Determine the charge q' induced along the surface of the inner shell.

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Answer #1

part a )

C = k*4pi*eo*b*a/(b-a)

k = 20.5

eo = 8.85 x 10^-12

C =9.3 x 10^-11 F

part b )

q = CV

q = 5.767 x 10^-9 C

part c )

q' = (1-1/k)*q

q' = 8.848 x 10^-11 C

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