The amount of energy consumed in carrying a charge of $1 C$ through a battery of $3 V$ is [[1]] $J$ .

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Detailed Solution

The amount of energy consumed in carrying a charge of 1 coulomb through a battery of

3 V

3 J

.
It is given that

1 C

charge is brought to a point through a battery of

3 V

.
“The potential difference can be defined as the work done in bringing per unit volume in bringing the unit charge from infinity to any point.” Mathematically it can be written as

V = \frac{W}{Q}

Where

V, W

and

Q

is the potential difference, work done and the charge respectively.
On substituting the given values, we get

W = Q \times V

\Rightarrow W = 1 \times 3

\Rightarrow W = 3 J

Hence, the work done in moving

1 C

charge through a battery of

3 V

3 J

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