In an ac circuit, an inductor,

Question:

In an ac circuit, an inductor, a capacitor and a resistor are connected in series with $X_{L}=R=X_{C}$. Impedance of this circuit is :

  1. $2 R^{2}$

  2. Zero

  3. $R$

  4. $R \sqrt{2}$


Correct Option: , 3

Solution:

$\mathrm{Z}=\sqrt{\left(\mathrm{X}_{\mathrm{L}}-\mathrm{X}_{\mathrm{C}}\right)^{2}+\mathrm{R}^{2}}=\mathrm{R} \because \mathrm{X}_{\mathrm{L}}=\mathrm{X}_{\mathrm{C}}$

Option (3)

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