First slide

Potential energy

Question

Charges of $+ \frac{10}{3} \times 10^{- 9} C$ are placed at each of the four comers of a square of side 8 cm. The potential at the intersection of the diagonals is

Moderate

A

$150 \sqrt{2} volt$
B

$1500 \sqrt{2} volt$
C

$900 \sqrt{2} volt$
D

900 Volt

Solution

Potenti. al at the centre O, $V = 4 \times \frac{1}{4 {πε}_{0}} \cdot \frac{Q}{a / \sqrt{2}}$
$where Q = \frac{10}{3} \times 10^{- 9} C and a = 8 cm = 8 \times 10^{- 2} m$
$So V = 4 \times 9 \times 10^{9} \times \frac{\frac{10}{3} \times 10^{- 9}}{\frac{8 \times 10^{- 2}}{\sqrt{2}}} = 1500 \sqrt{2} volt$

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