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MHT CET202310 May 2023Evening ShiftPhysicsAlternating CurrentActual

With an alternating voltage source of frequency ' f ', inductor ' L ', capacitor ' C ' and resistance ' R ' are connected in series. The voltage leads the current by 45^ . The value of ' L ' is ( 45^ =1 )

Options

  1. A( 1+2 f CR 4 ^2 f ^2 C )
  2. B( 1-2 fCR 4 ^2 f ^2 C )
  3. C( 4 ^2 f ^2 C 1+2 fCR )
  4. D( 4 ^2 f ^2 C 1-2 fCR )

Correct answer

A. ( 1+2 f CR 4 ^2 f ^2 C )

Step-by-step solution

aligned & = X_L-X_C R & 45^ = [ 2 fL - 1 2 fC R ] . ( =45^ ) & R= (2 f )^2 LC -1 2 fC & L= 2 fCR +1 4 ^2 f ^2 C aligned

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