For the configuration shown in the figure below, suppose a = 5.00 cm, b = 20.0 c

Question

For the configuration shown in the figure below, suppose a = 5.00 cm, b = 20.0 cm, and c = 25.0 cm. Furthermore, suppose the electric field at a point 13.5 cm from the center is measured to be 3.50 Times 10^3 N/C radially inward and the electric field at a point 50.0 cm from the center is of magnitude 207 N/C and points radially outward. From this information, find the following. (Include the sign of the charge in your answer.) (a) the charge on the insulating sphere Do the charges on the conducting shell affect the electric field at this point? C the net charge on the hollow conducting sphere What is the total charge inside a sphere of radius 50 cm? C the charge on the inner surface of the hollow conducting sphere If the charge is zero on the inner surface of the conducting shell, what electric field would you find inside the conducting shell? C the charge on the outer surface of the hollow conducting sphere enter a number elated the total charge on the spherical shell and the charge on the inner surface. Flow much charge resides in the interior of the conducting shell? C

Explanation / Answer

a)

Kq1/r^2 = -3500n/c

r = 0.135

THEREFORE

q1 = -7.0875 x 10-9C

2)

q2 be the charge

from given data

kq1+q2/R^2 = 207

R=0.5

q2 = 12.8375x10-9C

c)

charge on inner surface

Qi = -q1

Qi =7.0875 x 10-9C

d)

charge on outer surface

Qo = q1+q2

Qo = 5.75x10-9C

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