Question

Calculating Electric Potential

A thin spherical shell with radius R1 =3.00cm is concentric with a larger thin spherical shell with radius R2= 5.00cm. Both shells are made of insulating material. Thesmaller shell has charge q1= +6.00 nC distributed uniformly over its surface, and the larger shell has charge q2= -9.00nC distributed uniformly over its surface. Takethe electric potential to be zero at an infinite distance from both shells.

(a) What is the electric potential due to the two shells at the following distance from their common center: (i) r=0; (ii) r=4.00cm; r=6.00cm?

(b) What is the magnitude of the potential difference between the surfaces of the two shells? Which shell is at the higher potential: the inner shell or the outershell?

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