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Question and Answer

Calculate the potential at a point  \(P\)  due to a charge of  \(4\times 10^{-7}C\)  located  \(9\text{ cm }\) away.

Answer

\(4\times {10}^{4}\ V\)
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Solution

Given data,
Charge,\(Q=4\times 10^{-7}C\)
Distance between charge and point,\(r=9 \ cm=0.09\text{ m }\) 
Solution for Calculate the potential at a point  P  due to a charge of  4times 10^{-7}C  located  9text{ cm } away.
For source charge,
Potential at\(P\)due to charge\(Q\),
 \(V_P=\left(\dfrac 1{4\pi \varepsilon _0}\right)\left(\dfrac Q r\right)\)
 \(V_P=\dfrac{\left(9\times 10^9\right)\left(4\times 10^{-7}\right)}{0.09}\)
 \(V_P=4\times 10^4V\)
Hence, potential at point \(P \) is \(4\times 10^4\ V\).
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