Question

Four thin spherical shells with radii Ry = 3.00 cm, R2 = 5.00 cm, R3 = 7.00 cm, and R4 = 9.00 cm are all concentric. All shells are made of insulating material with their net charge distributed uniformly over the surface. Shell R, has net charge q = +2.00 nC, shell R2 has net charge 42 = -5.00 nC, shell Rhas net charge +4.00 nC, and shell Rd has net charge 44 = -7.00 nC. Take the electric potential to be zero at an infinite distance from both shells. What is the electric potential due to the four shells at the distance r = 8.00 cm from their common center? Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: Answer units

Answer 1

Electric potential because of a uniformly charged sphere of radius R is given by

Ner potential V will be V = vit U₂t Vgt va = kq . or Ka2+ Kaz + Kq4 92 93 94 ' re = 9X10x2x109 + 9x107-SX10 g px10ʻX4X109x16x-7xót 0.08 - 0.08 0.08 0.09 = 9x10x10 63 =.-587.5 =F5.875x10 2 vl Ary. Ics Scanned with CamScanner

V = kQ/R inside the sphere

and V = kQ/r at a distance r from the center of the sphere.

And potentials are always additive. That is, we can add the potentials at a point due to various charges.

So,