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Q.

$15 joule$ of work has to be done against an existing electric field to take a charge of $0.01 C$ from A to B. Which of the following is correct for the potential difference ( $V_{B}$ - $V_{A}$ )?

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a

1500 volt

b

150 volt

c

0.15 volt

d

0.0015 volt

answer is A.

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Detailed Solution

15 joule

of work has to be done against an existing electric field to take a charge of

0.01 C

from A to B. The potential difference (

V_{B}

-

V_{A}

) is

1500 volt .

Work done against an existing electric field to carry a charge from one place to another is equal to,

W = charge \times change in potential difference

. Therefore, potential difference between point A and B is-

V_{B}

-

V_{A} =

\frac{Work done}{charge}

{\Rightarrow V}_{B}

-

V_{A} =

\frac{15}{0.01}

{\Rightarrow V}_{B}

-

V_{A} = 1500 C .

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15 joule of work has to be done against an existing electric field to take a charge of 0.01 C from A to B. Which of the following is correct for the potential difference (VB-VA)?