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 295 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? [Hint: What must be true about the electric field inside a conductor in electrostatic equilibrium?]
N/C

(c) What is the electric field magnitude at a point 3.70 cm from the center?
N/C

Explanation / Answer

a) E = 8.99 * 109 * 295 * 10-9 / (0.01752)

= 866 * 104 N/C

b) Net electric field at any point inside conductor

E2.5 cm= 0 N/C

c) E = 8.99 * 109 * 295 * 10-9 / (0.0372)

= 194 * 104 N/C

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