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Define the term potential energy of cha...

Define the term potential energy of charge q at a distance r in an external electric field.

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Potential energy of a single change q at a distance r in an external field `=q.V (r)`
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Knowledge Check

  • Assertion: Electric potential on the surface of a charged sphere of radius R is V. Then electric field at distance r=R/2 from centre is V/(2R) . Charge is distributed uniformly over the volume. Reason: From centre to surface, electric field varies linearly with r. Here r is distance from centre.

    A
    If both Assertion and Reason are true but Reason is the correct explanation of Assertion.
    B
    If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
    C
    If Assertion is true, but the Reason is false.
    D
    If Assertion is false but the Reason is true.

  • Electric potential energy V between two charges varies with distance (r) between them as

    A
    `Vprop r`
    B
    `Vprop (1)/(r)`
    C
    `Vprop r^(2)`
    D
    `V prop (1)/(r^(2))`

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    Give expression for 'potential energy' of charge 'q' at a distance 'r' in an external electric filed ?

    Two point charges q_(1) and q_(2) are kept r distance apart in a uniform external electric field vecE . Find the amount of work done in assembling this system of charges.

    (A)Two point charges q_1 and q_2 are kept r distance apart in a uniform external electric field vecE . Find the amount of work done in assembling this system of charges. (B) A cube of side 20 cm is kept in a region as shown in the figure. An electric field vecE exists in the region such that the potential at a point is given by V = 10x + 5 , where V is in volt and x is in m. Find the electric field vecE and (ii) total electric flux through the cube.

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