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A test charge q is made to move in the ...

A test charge q is made to move in the electric field of a point charge Q along two different closed paths. Fig. First path has sections along and perpendicular loop of the same area as the first loop. How does the work done compare in the two cases?

Text Solution

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From the knowledge of theory, we understand that electric field is conservative. Therefore, work done in moving a test charge over any closed path is zero.
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Knowledge Check

  • In the electric field of a point charge Q placed at the centre of a circle, as shown in fingure, a certain test charge q_0 is carried from point A to B, C B and D. Then the work done

    A
    is least along the path AB.
    B
    is least along the path AC.
    C
    is same along all the three paths AB, AC as well as AD and has a finite value.
    D
    is zero for all the three paths.

  • A point charge Q is moved along a ciruclar path around another fixed point charge. The work done is zero

    A
    only if `Q` returns to its starting point
    B
    only if the twoi charges have the same magnitude
    C
    only if the two charges have the same magnitude and opposite signs
    D
    in all case

  • How much work is done in moving a charge of 5C across two points having a potential difference of 16V?

    A
    65J
    B
    45J
    C
    40J
    D
    80J

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