A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80.0 μ Cm -2. What is the total electric flux leaving the surface of the sphere?

Question

A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80.0 μ Cm -2. What is the total electric flux leaving the surface of the sphere? (A) 0.8 × 104 Nm 2 / C (B) 1.6 × 104 Nm 2 / C (C) 0.8 × 108 Nm 2 / C (D) 1.6 × 108 Nm 2 / C

Tardigrade Admin · Accepted Answer

Total flux leaving the surface, φ=( text Total charge /ε0) φ=(q/ε0)=(1.45 × 10-3/8.854 × 10-12) φ=1.6 × 108 N - m 2 / C

Q. A uniformly charged conducting sphere of $2.4 m$ diameter has a surface charge density of $80.0 μ C m^{- 2}$ .
What is the total electric flux leaving the surface of the sphere?

$0.8 \times 1 0^{4} N m^{2} / C$

$1.6 \times 1 0^{4} N m^{2} / C$

$0.8 \times 1 0^{8} N m^{2} / C$

$1.6 \times 1 0^{8} N m^{2} / C$

Total flux leaving the surface, $ϕ = \frac{Total charge}{ε _{0}}$
$ϕ = \frac{q}{ε _{0}} = \frac{1.45 \times 1 0 ^{- 3}}{8.854 \times 1 0 ^{- 12}}$
$ϕ = 1.6 \times 1 0^{8} N - m^{2} / C$

Q. A uniformly charged conducting sphere of 2.4m diameter has a surface charge density of 80.0μCm−2. What is the total electric flux leaving the surface of the sphere?

0.8×104Nm2/C

1.6×104Nm2/C

0.8×108Nm2/C

1.6×108Nm2/C