If same charge 'q' is placed inside a sphere and cube, having radius 1 m and side 2 m respectively. What will be the ratio of flux passing through them:

Question

If same charge 'q' is placed inside a sphere and cube, having radius 1 m and side 2 m respectively. What will be the ratio of flux passing through them: (A) 1: 1 (B) 1: 8 (C) 8: 1 (D) 1: 2

Tardigrade Admin · Accepted Answer

The total flux linked with a closed surface is

\frac{1}{ε _{0}}

times the charge enclosed by the closed surface.
enclosed Flux,

ϕ = \frac{q _{e n c l ose d}}{ε _{0}}

Since enclosed charge is same, so the flux will be same.
flux through sphere = flux through cube

\Rightarrow 1 : 1

Q. If same charge $^{'} q^{'}$ is placed inside a sphere and cube, having radius $1 m$ and side $2 m$ respectively. What will be the ratio of flux passing through them:

1 : 1

1 : 8

8 : 1

1 : 2

The total flux linked with a closed surface is $\frac{1}{ε _{0}}$ times the charge enclosed by the closed surface.
enclosed Flux, $ϕ = \frac{q _{e n c l ose d}}{ε _{0}}$
Since enclosed charge is same, so the flux will be same.
flux through sphere = flux through cube $\Rightarrow 1 : 1$

Q. If same charge ′q′ is placed inside a sphere and cube, having radius 1m and side 2m respectively. What will be the ratio of flux passing through them: