A uniformly charged ring is placed in x-y plane with its centre at origin. Total charge on ring is 10nC and radius of ring is 1cm. The magnitude of potential difference between points having co-ordinate (0, 0, 22 cm) and (0, 0, −26 cm) is (in volts)

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A uniformly charged ring is placed in x-y plane with its centre at origin. Total charge on ring is 10nC and radius of ring is 1cm. The magnitude of potential difference between points having co-ordinate $(0, 0, 2 \sqrt{2} c m)$ and $(0, 0, - 2 \sqrt{6} c m)$ is (in volts)

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answer is 1200.

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Detailed Solution

$V_{1} = \frac{I}{4 π \in_{0}} \times \frac{q}{\sqrt{x^{2} + R^{2}}} V_{1} = \frac{9 \times 10^{+ 9} \times 10 \times 10^{- 9}}{3 \times 10^{- 2}} = 3000 V_{2} = \frac{9 \times 10^{9} \times 10^{- 9} \times 10}{5 \times 10^{- 2}} = 1800 Δ V = 1200 V$