The charge given to a hollow sphere of radius 10 cm is 3.2 × 10-19 coulomb. At a distance of 4 cm from its centre, the electric potential will be

Question

The charge given to a hollow sphere of radius 10 cm is 3.2 × 10-19 coulomb. At a distance of 4 cm from its centre, the electric potential will be (A) 28.8 × 10-9 volts (B) 288 volts (C) 2.88 volts (D) zero

Tardigrade Admin · Accepted Answer

Potential is to be determined at a distance of 4 cm from centre of sphere i.e., inside the sphere. V=(k q/r)=(9 × 109 × 3.2 × 10-19/10 × 10-2) =28.8 × 10-9 volts

Q. The charge given to a hollow sphere of radius $10 c m$ is $3.2 \times 1 0^{- 19}$ coulomb. At a distance of $4 c m$ from its centre, the electric potential will be

$28.8 \times 1 0^{- 9}$ volts

288 volts

2.88 volts

zero

Potential is to be determined at a distance of $4 c m$ from centre of sphere i.e., inside the sphere.
$V = \frac{k q}{r} = \frac{9 \times 1 0 ^{9} \times 3.2 \times 1 0 ^{- 19}}{10 \times 1 0 ^{- 2}}$
$= 28.8 \times 1 0^{- 9}$ volts

Q. The charge given to a hollow sphere of radius 10cm is 3.2×10−19 coulomb. At a distance of 4cm from its centre, the electric potential will be

28.8×10−9 volts