A small sphere of radius r_{1} and charge q_{1} is enclosed by a spherical shell of radius r

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1. Electric Charges and Fields

easy

A small sphere of radius $r_{1}$ and charge $q_{1}$ is enclosed by a spherical shell of radius $r_{2}$ and charge $q_{2} .$ Show that if $q_{1}$ is positive, charge will necessarily flow from the sphere to the shell (when the two are connected by a wire) no matter what the charge $q_{2}$ on the shell is.

Option A

Option B

Option C

Option D

Solution

According to Gauss's law, the electric field between a sphere and a shell is determined by the charge $q_{1}$ on small sphere. Hence, the potential difference, $V$, between the sphere and the shell is independent of charge $q_{2}$. For positive charge $q_{1}$, potential difference $V$ is always positive.

Standard 12

Physics