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Work done in moving $5 C$ charge across the ends of a conductor is $100 J$ . If the potential at the one end of the conductor is $10 V$ , the potential at the other end is [[1]] $V$ .

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Detailed Solution

Work done in moving

5 C

charge across the ends of a conductor is

100 J

. If the potential at the one end of the conductor is

10 V

, the potential at the other end is

30 V

.
It is given that the work done in moving

5 C

charge across the ends of a conductor is

100 J

and the potential at one end is

10 V

.
It is known that “the potential difference is equal to the work done in bringing the unit charge from one point to any other point.” Mathematically,

V_{A} - V_{B} = \frac{W}{Q}

Where

V_{A}, V_{B}, W

and

Q

are the potential difference at

A

and

B

, work done and the charge respectively.
On substituting the given value, we get

V_{A} - 10 = \frac{100}{5}

{\Rightarrow V}_{A} - 10 = 20

{\Rightarrow V}_{A} = 30 V

Hence, the potential at the other end is

30 V

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