A uniformly charged conducting sphere of 4.4 m diameter has a surface charge density of 60 μ C m-2. The charge on the sphere is

Question

A uniformly charged conducting sphere of 4.4 m diameter has a surface charge density of 60 μ C m-2. The charge on the sphere is (A) 7.3 × 10-3 C (B) 3.7 × 10-6 C (C) 7.3 × 10-6 C (D) 3.7 × 10-3 C

Tardigrade Admin · Accepted Answer

Here D = 2r = 4.4 m, or r=2.2 m, σ=60 μ C m-2 Charge on the sphere, q=σ×4π r2 =60×10-6×4×(22/7)×(2.2)2=3.7×10-3 C

Q. A uniformly charged conducting sphere of $4.4 m$ diameter has a surface charge density of $60 μ C m^{- 2}$ . The charge on the sphere is

$7.3 \times 1 0^{- 3} C$

$3.7 \times 1 0^{- 6} C$

$7.3 \times 1 0^{- 6} C$

$3.7 \times 1 0^{- 3} C$

Here $D = 2 r = 4.4 m$ ,
or $r = 2.2 m, σ = 60 μ C m^{- 2}$
Charge on the sphere, $q = σ \times 4 π r^{2}$
$= 60 \times 1 0^{- 6} \times 4 \times \frac{22}{7} \times (2.2)^{2} = 3.7 \times 1 0^{- 3} C$

Q. A uniformly charged conducting sphere of 4.4m diameter has a surface charge density of 60μCm−2. The charge on the sphere is

7.3×10−3C

3.7×10−6C

7.3×10−6C

3.7×10−3C