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Electrostatic Potential And Capacitance

Question

A metal wire is bent into a circle of radius 10 cm. It is given a charge of 200 μC which spread on it uniformly. Calculate the electric potential at its centre.

Solution

A metal wire is bent into a circle.
Radius of the circle so formed, r= 10 cm
Charge distributed on circle, q =200 μC= $200 \times 10^{- 6} C$ .

The potential at the centre of circle is simply given by
$V = \frac{1}{4 {πε}_{\circ}} \frac{q}{r} = 9 \times 10^{9} \times \frac{200 \times 10^{- 6}}{10 \times 10^{- 2}} = 1.8 \times 10^{7} V$

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Electrostatic Potential And Capacitance

A metal wire is bent into a circle of radius 10 cm. It is given a charge of 200 μC which spread on it uniformly. Calculate the electric potential at its centre.

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