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$400 Joules$ heat is produced by a $4 Ohms$ resistance in a circuit. What will be the potential difference across the resistance?

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30 V

40 V

20 V

100 V

answer is B.

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Detailed Solution

The potential difference across the resistance is

40 V .

Given:
The heat produced

H = 400 J

,
and Resistance

R = 4 Ω

It is known that the heat produced in a resistor in a circuit is given by the formula,

H = \frac{V^{2} t}{R}

Where

H

is the heat produced,

V

is the potential difference,

t

is the time which is assumed as

1 hr

and

R

is the resistance.
On substituting the given values, we get the potential difference as

\Rightarrow 400 = \frac{V^{2} \times 1}{4}

\Rightarrow V^{2} = 1600

\Rightarrow V = 40 V

Hence, the potential difference across the resistance is

40 V

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