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A conducting sphere is placed within a conducting spherical shell as shown in th

ID: 1651740 • Letter: A

Question

A conducting sphere is placed within a conducting spherical shell as shown in the figure below. The conductors are in electrostatic equilibrium. The inner sphere has a radius of 1.50 cm, the inner radius of the spherical shell is 2.25 cm, and the outer radius of the shell is 2.75 cm. The inner sphere has a charge of 245 nC, and the spherical shell has zero net charge. (a) What is the magnitude of the electric field at a point 1.75 cm from the center? N/C (b) What is the electric field magnitude at a point 2.50 cm from the center? N/C (c) What is the electric field magnitude at a point 3.50 cm from the center? N/C

Explanation / Answer

a) electric field at a point 1.75 cm from center is E = k*q/r^2

E = (9*10^9*245*10^-9)/(0.0175^2)

E = 7.2*10^6 N/C

b) 2.5 cm means inside the shell,inside the conductiong shell electric field is zero

so the answer is E = 0 N/C

C) same as the problem a) but r = 3.5 cm = 0.035 m

then

E = k*q/r^2 = (9*10^9*245*10^-9)/0.035^2

E = 1.8*10^6 N/C

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