Question

Chapter 23 Exercise 23.26 Find the value of the potential at 50.0 cm from the center of the sphere. Constants A total electric charge of 5.50 nC is distributed uniformly over the surface of a metal sphere with a radius of 26.0 cm. The potential is zero at a point at infinity Submit Request Answer ▼ Part B Find the value of the potential at 26.0 em from the center of the sphere

Answer 1

Given things

Q = 5.5 nC = 5.5 x 10^-9 C

R = 26 cm = 0.26 m

A) Potential outside the sphere is given by

$V = \frac{kQ}{r}$

where,

$k = \frac{1}{4\pi \varepsilon _{0}} = 9 \times 10^{9}$

and r = 50 cm = 0.50 m

$\therefore V = \frac{9 \times 10^{9}\times 5.5 \times 10^{-9}}{0.5}$

$\therefore V = 99 V$

B)

potential at point r = 26cm = 0.26 m

$\therefore V = \frac{9 \times 10^{9}\times 5.5 \times 10^{-9}}{0.26}$

V = 190.38 V