A charge q is moved from point A to point B in an uniform electric field along 4 paths as shown below. The work done to move the charge along the paths is W1,W2,W3 and W4 respectively. Choose the correct statement.
A
W4>W1>W2>W3
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B
W4<W1<W2<W3
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C
W4=W1=W2=W3
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D
W4<W1=W2<W3
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Solution
The correct option is CW4=W1=W2=W3 The electrostatic force is conservative force. So the work done to move a charge from A to B on all paths will be the same. The work done does not depend on the path, but it depends on the initial and final position only. ⇒W4=W1=W2=W3=W4