1.What is the electric field at 1.0 cm? 2. What is the electric field at 7.0 cm?

Question

1.What is the electric field at 1.0 cm?

2. What is the electric field at 7.0 cm?

3.What is the volume charge density for the inner sphere?

Give your answer in ?C/m3.

An insulating sphere of radius 2 cm and charge -4?C is surrounded by a spherical metallic shell of inner radius 4 cm and outer radius 6 cm. The outer shell has a net charge of 3?C . The insulating sphere has a uniform volume charge density. 1.What is the electric field at 1.0 cm? 2. What is the electric field at 7.0 cm? 3.What is the volume charge density for the inner sphere? Give your answer in ?C/m3

Explanation / Answer

1) qenc/q = Venc/V

qenc = -4E-6*1^3/2^3=-5.0E-7C

E = k qenc/r^2 = 9.0E9*-5.0E-7/0.01^2= -4.5E7 N/C

2) now qenc = -4 uC + 3uC = -1.0E-6

E = 9.0E9*-1.0E-6/0.07^2=-1.84E-6 N/C

3) density = Q/V = -4.0E-6/(4/3*pi*0.02^2)= -2.39E-3

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