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KCET2014PhysicsCapacitance

A series LCR circuit contains inductance ( 5 mH ), capacitance ( 2 F ) and resistance ( 10 ). If a frequency A.C. source is varied, what is the frequency at which maximum power is dissipated ( ? )

Options

  1. A( 10⁵ z H z )
  2. B( 10⁻⁵ H )
  3. C( 2 10⁵ ~Hz )
  4. D( 5 10³ H z )

Correct answer

D. ( 5 10³ H z )

Step-by-step solution

Maximum power is dissipated at resonance (L=5 m H ) and (C=2 F The resonant frequency ( aligned f_ R &= 1 2 L C &= 1 2 5 10⁻³ 2 10⁻⁶ &= 1 2 10⁻⁸ = 1 2 10⁻⁴ &= F_ R = 10 10³ 2 = 5 10³ H z aligned )

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