Physics100 J of heat is produced each second in a 4 Ω resistance. Which of the following is the potential difference across the resistor?

$100 J$ of heat is produced each second in a $4 Ω$ resistance. Which of the following is the potential difference across the resistor?

A
$20 V$
B
$40 V$
C
$50 V$
D
None of these

Solution:

$100 J$ of heat is produced each second in a

$4 Ω$ resistance. The potential difference across the resistor is

$20 V$ .
Given, Resistance,

$R = 4 Ω$
Taking time

$, t = 1 s$
heat produced,

$H = 100 J$ We know that,

$H = \frac{V^{2}}{R} t$ Therefore, potential difference across the resistor,

$V = \sqrt{\frac{HR}{t}}$

$= \sqrt{\frac{100 \times 4}{1}}$

$= 20 V$

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