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One end of 10 cm long silk thread is fixed to a large vertical surface of a charged nonconducting plate and the other end is fastened to a small ball having a mass of 10 g and a charge of 4.0×106C. In equilibrium , the thread makes an angle of 60 with the vertical. Find the surface charge density on the plate.

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Solution

T cos 60=mg

T sin 60=qE

tan 60=qEmg

E=mg tan 60q=σ2 0

So, σ=2 0 mg tan 60q

=2×8.8×1012×10×103×9.8×1.7324.0×106

=7.5×107 c/m2


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