Solveeit Logo
Login

Question

Physics Question on Electric charges and fields

A uniformly charged conducting sphere of 4.4 m4.4\,m diameter has a surface charge density of 60 μC m−260\, \mu C\, m^{-2}. The charge on the sphere is

A

7.3×10−3 C7.3 \times 10^{-3}\, C

B

3.7×10−6 C3.7 \times 10^{-6}\, C

C

7.3×10−6 C7.3 \times 10^{-6}\, C

D

3.7×10−3 C3.7 \times 10^{-3}\, C

Answer

3.7×10−3 C3.7 \times 10^{-3}\, C

Explanation

Solution

Here D=2r=4.4 mD = 2r = 4.4\, m, or r=2.2 m,σ=60 μC m−2r=2.2\,m, \sigma=60\,\mu C\,m^{-2} Charge on the sphere, q=σ×4πr2q=\sigma\times4\pi r^{2} =60×10−6×4×227×(2.2)2=3.7×10−3 C=60\times10^{-6}\times4\times\frac{22}{7}\times\left(2.2\right)^{2}=3.7\times10^{-3}\,C