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NEET2021PhysicsAlternating CurrentActual

An inductor of inductance L , a capacitor of capacitance C and a resistor of resistance R are connected in series to an ac source of potential difference V volt as shown in figure.Potential difference across L , C and R is 40   V , 10   V and 40   V , respectively. The amplitude of current flowing through L-C-R series circuit is 10 2   A . The impedance of the circuit is :

Options

  1. A4 2 Ω
  2. B5 / 2 Ω
  3. C5 Ω
  4. D4 Ω

Correct answer

C. 5 Ω

Step-by-step solution

V = V R 2 + V C - V L 2 = 40 2 + ( 10 - 40 ) 2 = 50   v o l t i rms = V r m s Z ⇒    Z = v r m s i r m s ⇒    Z = V r m s × 2 10 ⇒ Z = 2 × 50 10 2 ⇒ Z = 5   Ω

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