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Physics · PYQ NEET UG 2023

हिन्दी

The net impedance of circuit (as shown in figure) will be :

  1. \( 10\sqrt{2}\ \Omega \)
  2. \( 5\sqrt{5}\ \Omega \)
  3. \( 15\ \Omega \)
  4. \( 25\ \Omega \)

Correct answer · Option 2

\( 5\sqrt{5}\ \Omega \)

Explanation

Here \( L = \frac{50}{\pi}\text{ mH} \), \( C = \frac{10^3}{\pi}\ \mu\text{F} \), \( R = 10\ \Omega \), and \( f = 50\text{ Hz} \). Inductive reactance \( X_L = 2\pi f L = 5\ \Omega \), capacitive reactance \( X_C = \frac{1}{2\pi f C} = 10\ \Omega \). Impedance \( Z = \sqrt{R^2 + (X_C - X_L)^2} = \sqrt{10^2 + (10 - 5)^2} = \sqrt{100 + 25} = \sqrt{125} = 5\sqrt{5}\ \Omega \).
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