The electric potential immediately outside a charged conducting sphere is 240 V,

Question

The electric potential immediately outside a charged conducting sphere is 240 V, and 10.0 cm farther from the center of the sphere the potential is 130 V.


(a) Determine the radius of the sphere.
____ cm

(b) Determine the charge on the sphere.
____ nC



The electric potential immediately outside another charged conducting sphere is 270 V, and 10.0 cm farther from the center the magnitude of the electric field is 410 V/m.

(c) Determine all possible values for the radius of the sphere. (Enter your answers from smallest to largest. If only one value exists, enter "NONE" in the second answer blank.)

r1 = cm
r2 = cm

(d) Determine the charge on the sphere for each value of r. (If only one value exists, enter "NONE" in the second answer blank.)

q1 = nC
q2 = nC

Explanation / Answer

If the radius is r metres, then going from r to (r + 0.1) causes V to drop from 180V to 160V. 180 = kq/r 160 = kq/(r+0.1) Dividing gives: 180/160 = (r+0.1)/r 1.125 = 1 + 0.1/r 0.1/r= 0.125 r= 0.1/0.125=0.8m q = 180r/k = 180 x 0.8 /9x10^9 = 1.6x10^-8 C

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