Solveeit Logo
Login

Question

Question: The number of electrons to be put on a spherical conductor of radius 0.1*m* to produce an electric f...

The number of electrons to be put on a spherical conductor of radius 0.1m to produce an electric field of 0.036 N/C just above its surface is

A

2.7×1052.7 \times 10^{5}

B

2.6×1052.6 \times 10^{5}

C

2.5×1052.5 \times 10^{5}

D

2.4×1052.4 \times 10^{5}

Answer

2.5×1052.5 \times 10^{5}

Explanation

Solution

By using E=kQR2E = k\frac{Q}{R^{2}}, where R = radius of sphere so 0.036 =9×109×ne(0.1)2⇒n=2.5×1059 \times 10^{9} \times \frac{ne}{(0.1)^{2}} \Rightarrow n = 2.5 \times 10^{5}