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MHT CET20243 May 2024Evening ShiftPhysicsAlternating CurrentActual

A series LCR circuit containing a resistance 'R' has angular frequency ' '. At resonance the voltage across resistance and inductor are ' V _ R ' and ' V _ L ' respectively, then value of inductance 'L' will be

Options

  1. AV_R R V_L
  2. BV_L V_R R
  3. CV_R V_L R
  4. DV _ L R V _ R ( )

Correct answer

D. V _ L R V _ R ( )

Step-by-step solution

At resonance, Z=R Voltage across resistance, V_R=I Z=I R ...(i) Voltage across inductor, V _ L = I X _ L = I L ...(ii) Dividing (ii) by (i), V _ L ~V _ R = L R ~L = V _ L R ~V _ R

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