$100 \,J$ of heat is produced each second in a $4\, \Omega$ resistance. Find the potential difference across the resistor.

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Given $\quad H=100 J ; R =4 \Omega, t=1 s , V =?$

We know that $H = I ^{2} R t$, therefore,

$I=\sqrt{\frac{H}{R t}}=\sqrt{\frac{100}{4 \times 1}}=5 A$

Thus, the potential difference across the resistor,

$V = IR$

$=5 \times 4=20 V$

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