A conducting sphere with radius a = 0.34 m has a netcharge Q a = +4 µC. A thin,

Question

A conducting sphere with radius a = 0.34 m has a netcharge Qa = +4 µC. A thin, non-conductingspherical shell of radius b = 0.92 m surrounds the sphereand is concentric with it. This shell has a net chargeQb = +2.2 µC distributed uniformly overits surface. The electric potential at infinity is zero.

(a) Calculate the electric potential at a radial distance of0.39 m outside of the thin shell.

V = V    

(b) Calculate the potential at the thin shell.

V = V    

(c) Find the electric potential mid-way between the surface ofthe sphere and the surrounding shell.

V = V    

(d) Find the potential at the surface of the sphere.

V = V    

(e) Find the potential at the center of the sphere.

V = V    

Explanation / Answer

a = 0.34 m, Qa = +4 µC.b = 0.92 m, Qb = +2.2 µC

(a) Calculate the electric potential at a radial distance of0.39 m outside of the thin shell

r = 0.92 + 0.39 = 1.31 m

V = k(Qa + Qb)/r = 4.26*104V

b) V = k(Qa + Qb)/b = 6.07*104V

c) r = (0.34 + 0.92)/2 = 0.63 m

V = kQa/r + kQb/b = 7.87*104V

d) V = kQa/a + kQb/b = 1.27*105V

e) V = kQa/a + kQb/b = 1.27*105V

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