A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will

Question

A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will (A) increase four times (B) be reduced to half (C) remain the same (D) be doubled

Tardigrade Admin · Accepted Answer

φ text net =(2 q /ϵ0) ∵ Net flux does not depend on size of Gaussian surface ⇒ Flux remains unchanged.

Q. A charge $Q$ is enclosed by a Gaussian spherical surface of radius $R$ . If the radius is doubled, then the outward electric flux will

increase four times

be reduced to half

remain the same

be doubled

$ϕ_{net} = \frac{2 q}{ϵ _{0}}$
$∵$ Net flux does not depend on size of Gaussian surface
$\Rightarrow$ Flux remains unchanged.

Q. A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will