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

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 255 nC, and the spherical shell has zero net charge.

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 255 nC, and the spherical shell has zero net charge. What is the magnitude of the electric field at a point 1.75 cm from the center? N/C What is the electric field magnitude at a point 2.50 cm from the center? [Hint: What must be true about the electric field inside a conductor in electrostatic equilibrium?] N/C What is the electric field magnitude at a point 3.50 cm from the center? N/C

Explanation / Answer

the feild at any pt inside the sheel is only due to sphere

because the field due to shell in its inside = 0

a) |E| = (9 x 10^9 x 255 x 10^-9)/(0.0175)^2 = 749.387 x 10^4V/m

b) the net electric field at any pt inside conductor =0

c) the electric field due to shell at outside = 0(feild due to +ve and _ve induced charges cancel)

the |E| = 9 x 10^9 x 255 x 10^-9/0.035^2 = 187.3469388 x 10^4 V/m

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