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  4. The adjacent diagram shows a charge + Q held on an insulating support S and enclosed by a hollow spherical conductor. O represents the centre of the spherical conductor and P is a point such that OP = x and SP = r. The electric field at point P will be

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Q. The adjacent diagram shows a charge $+ Q$ held on an insulating support $S$ and enclosed by a hollow spherical conductor. $O$ represents the centre of the spherical conductor and $P$ is a point such that $OP = x $ and $SP = r$. The electric field at point $P$ will bePhysics Question Image

AMUAMU 2009

Solution:

Applying Gausss law
$\oint \vec{E} . \vec{d} s=\frac{1}{\varepsilon_{0}} Q_{\text {enclosed }}$
$E. 4 \pi x^{2}=\frac{Q}{\varepsilon_{0}}$
$E=\frac{Q}{4 \pi \varepsilon_{0} x^{2}}$