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Potential Energy - External Viewpoint

In the follow...

Question

In the following diagram the work done in moving a point charge from point P to point A, P to B and P to C is respectively $W_{A}$ , $W_{B}$ and $W_{C}$ , then

W_{A} = W_{B} = W_{C}

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W_{A} = W_{B} = W_{C} = 0

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W_{A} > W_{B} > W_{C}

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W_{A} < W_{B} < W_{C}

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Solution

The correct option is B $W_{A} = W_{B} = W_{C} = 0$

According to the figure, there is no other charge. A single charge when moved in a space of no field, does not experience any force hence no work is done. $W_{A} = W_{B} = W_{C} = 0$

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W_{a \to b}, W_{b \to c}, W_{c \to d}

W_{d \to a}

a \to b, b \to c, c \to d

d \to a

W_{a \to b} + W_{b \to c} + W_{c \to d} + W_{d \to a} > 0

W_{a \to b} + W_{b \to c} + W_{c \to d} + W_{d \to a} < 0

W_{a \to b} + W_{c \to d} > 0

W_{b \to c} + W_{d \to a} = 0

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