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A point charge ? = 10^−15 C is placed 20 cm from the centre of a...

A point charge ? = 10^−15 C is placed 20 cm from the centre of a grounded metal ball (the electric potential of the ball is 0 V) with radius 10 cm.

a) Using the image charge method, show that an image charge −0.5? and the point charge Q together are able to generate zero electric potential on the surface of the ball. Using a diagram, show the relative position of the image charge and the point charge Q.

b) Find the electric field on the metal surface at the point closest to the point charge Q.

c) Find the surface charge density on the metal surface at the point closest to the point charge Q.

Science   Advanced-Physics   
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