MCQ
In the given $LCR$ $AC$ circuit, the effective current flowing through the circuit will be.....$A$
- ✓$2$
- B$2\sqrt 2 $
- C$4$
- D$4\sqrt 2 $
✓
Answer
Correct option: A.
$2$
a
$\mathrm{R}=50 \Omega$
$\mathrm{R}=50 \Omega$
$\mathrm{X}_{\mathrm{L}}=\omega \mathrm{L}=50 \Omega$
$\mathrm{X}_{\mathrm{L}}=\frac{1}{\omega \mathrm{C}}=100 \Omega$
$\Rightarrow \mathrm{Z}=\sqrt{\mathrm{R}^{2}+\left(\mathrm{X}_{\mathrm{L}}-\mathrm{X}_{\mathrm{c}}\right)^{2}}$
$\mathrm{Z}=50 \sqrt{2} \Omega$
$I_{\operatorname{rms}}=\frac{V_{\operatorname{rms}}}{Z}=\frac{200 / \sqrt{2}}{50 \sqrt{2}}=2 \mathrm{\,A}$
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