Solveeit Logo
Login

Question

Question: A uniformly charged conducting sphere of 4.4 m diameter has a surface charge density of \(60\mu Cm^{...

A uniformly charged conducting sphere of 4.4 m diameter has a surface charge density of 60μCm−2.60\mu Cm^{- 2}. The charge on the sphere is

A

7.3×10−3C7.3 \times 10^{- 3}C

B

3.7×10−6C3.7 \times 10^{- 6}C

C

7.3×10−6C7.3 \times 10^{- 6}C

D

3.7×10−3C3.7 \times 10^{- 3}C

Answer

3.7×10−3C3.7 \times 10^{- 3}C

Explanation

Solution

: Here D=2r=4.4m,orr=2.2mD = 2r = 4.4m,orr = 2.2m

σ=60μCm−2\sigma = 60\mu Cm^{- 2}

Charge on the sphere, q=σ×4πr2q = \sigma \times 4\pi r^{2}

=60×10−6×4×227×(2.2)2=3.7×10−3C= 60 \times 10^{- 6} \times 4 \times \frac{22}{7} \times (2.2)^{2} = 3.7 \times 10^{- 3}C