A hollow sphere of radius 0.1 m has a charge of 5 × 10-8 C . The potential at a distance of 5 cm from the center of the sphere is

Question

A hollow sphere of radius 0.1 m has a charge of 5 × 10-8 C . The potential at a distance of 5 cm from the center of the sphere is (A) 4000 V (B) 4500 V (C) 5000 V (D) 6000 V

Tardigrade Admin · Accepted Answer

Potential V=(Q/4 π ε0 r) Given, Q=5 × 10-8 C, (1/4 π ε0) =9 × 109, R=0.1 m V=(5 × 10-8 × 9 × 109/0.1) =(450/0.1)=4500 V

Q. A hollow sphere of radius $0.1 m$ has a charge of $5 \times 1 0^{- 8} C .$ The potential at a distance of $5 c m$ from the center of the sphere is

4000 V

4500 V

5000 V

6000 V

Potential $V = \frac{Q}{4 π ε _{0} r}$
Given, $Q = 5 \times 1 0^{- 8} C, \frac{1}{4 π ε _{0}}$
$= 9 \times 1 0^{9}, R = 0.1 m$
$V = \frac{5 \times 1 0 ^{- 8} \times 9 \times 1 0 ^{9}}{0.1}$
$= \frac{450}{0.1} = 4500 V$

Q. A hollow sphere of radius 0.1m has a charge of 5×10−8C. The potential at a distance of 5cm from the center of the sphere is