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MHT CET202411 May 2024Morning ShiftPhysicsAlternating CurrentActual

With an alternating voltage source 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 fCR 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 fCR 4 ^2 f ^2 C )

Step-by-step solution

The phase difference between the current and the voltage is given by = L - 1 C R array ll & L- 1 C =R ( = 45^ =1 ) & L=R+ 1 C & L= R + 1 ^2 C = R C+1 ^2 C & L= 1+2 f C R 4 ^2 f^2 C ( =2 f) array

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