Question

In an $\text{LCR}$ series circuit ܴ$R=1\Omega$, and $X_C=1000\Omega$ and ܺ$X_C=1000\Omega$. A source of $100\text{mV}$ is connected in the circuit the current in the circuit is_______ (in milli Ampere)

Answer 1

Given:
$R=1\Omega ;X_L=1000\Omega ;X_C=1000\Omega ;V=100\text{mV}$

$\because X_L=X_C$ (From the data given in the question)

It is a resonance condition, then we can conclude that $Z=R$

$\therefore I=\frac{V}{Z}=\frac{V}{R}$

Substituting the data given in the question,

$I=\frac{100\times {10}^{-3}}{1}=100\text{mA}$