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Question

Physics Question on Electric charges and fields

A spherical conductor of radius 2 cm2 \,cm is uniformly charged with 3 nC3 \,nC. What is the electric field at a distance of 3 cm3\, cm from the centre of the sphere ?

A

3×106 Vm−13\times10^{6} \,Vm^{-1}

B

3×104 Vm−13\times10^{4} \,Vm^{-1}

C

3 Vm−13\,Vm^{-1}

D

3×10−4 Vm−13\times10^{-4} \,Vm^{-1}

Answer

3×104 Vm−13\times10^{4} \,Vm^{-1}

Explanation

Solution

Given, Distance from the centre of sphere r=(1+2) cmr =(1+2)\, cm =3 cm=3×10−2 m=3\, cm =3 \times 10^{-2}\, m Charge on sphere =9×39×10−4=\frac{9 \times 3}{9 \times 10^{-4}} =3×104V/m=3 \times 10^{4} V / m