If potential at a point $P$ is $20 V,$ then determine the work done by electric force on a point charge $- 3 μ C$ in bringing it from infinity to point $P .$

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Solution

Step 1: Given data:
$V = 20 V$ at a point $P$ and Charge, $q {}_{0}= - 3 μ C = - 3 \times 10^{- 6} C .$
Step 2: Formula used:
Work done to bring a charge from $\infty$ to point $P$ is
$W = - q_{0} V$
Step 3: Determine the work done by electric force on a point $P$ :
$W = - q_{0} V$
$W = - (- 3 \times 10^{- 6}) \times 20$
$W = 60 μ J$
The work done by electric force on a point $P$ is $60 μ J .$

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If potential at a point P is 20V, then determine the work done by electric force on a point charge -3μC in bringing it from infinity to point P.

Step 1: Given data:V=20V at a pointP and Charge,q=0-3μC=-3×10-6C. Step 2: Formula used:Work done to bring a charge from ∞ to pointP isW=-q0VStep 3: Determine the work done by electric force on a point P:W=-q0VW=-(-3×10-6)×20W=60μJThe work done by electric force on a point Pis 60μJ.

If potential at a point $P$ is $20 V,$ then determine the work done by electric force on a point charge $- 3 μ C$ in bringing it from infinity to point $P .$