An electric charge of 8.85× 10-13C is placed at the centre of a sphere of radius 1 m . The electric flux through the sphere is

Question

An electric charge of 8.85× 10-13C is placed at the centre of a sphere of radius 1 m . The electric flux through the sphere is (A)  0.2 NC-1 m2  (B)  0.1 NC-1 m2  (C)  0.3 NC-1 m2  (D)  0.01 NC-1 m2

Tardigrade Admin · Accepted Answer

Electric flux, φ=E . A φ=(1/4 π ε0) × (q/r2) ⋅ 4 π r2=(4 π q/4 π ε0) =9 × 109 × 8.85 × 10-13 × 4 × (22/7) =0.1 N C-1 m2

Q. An electric charge of $8.85 \times 1 0^{- 13} C$ is placed at the centre of a sphere of radius $1 m$ . The electric flux through the sphere is

$0.2 N C^{- 1} m^{2}$

$0.1 N C^{- 1} m^{2}$

$0.3 N C^{- 1} m^{2}$

$0.01 N C^{- 1} m^{2}$

Electric flux, $ϕ = E . A$
$ϕ = \frac{1}{4 π ε _{0}} \times \frac{q}{r ^{2}} \cdot 4 π r^{2} = \frac{4 π q}{4 π ε _{0}}$
$= 9 \times 1 0^{9} \times 8.85 \times 1 0^{- 13} \times 4 \times \frac{22}{7}$
$= 0.1 N C^{- 1} m^{2}$

Q. An electric charge of 8.85×10−13C is placed at the centre of a sphere of radius 1m . The electric flux through the sphere is

0.2NC−1m2

0.1NC−1m2

0.3NC−1m2

0.01NC−1m2