Question

A resistor and an inductor are connected to an $\text{AC}$ supply of $120\text{V}$ and $50\text{Hz}$. The current in the circuit is $3\text{A}$. If the power consumed in the circuit is $108W$, then the resistance in the circuit is

• A. $12\Omega$
• B. $40\Omega$
• C. $\sqrt{(52\times 28)}\Omega$
• D. $360\Omega$

Answer 1

The correct option is A $12\Omega$


Given that
$P=108\text{W}$
We know that
$P=I_{rms}^{2}R\Rightarrow 108=3^2\times R\Rightarrow R=12\Omega$