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KCET2010PhysicsAlternating Current

In a series resonant R-L-C circuit, the voltage across R is 100 ~V and the value of R =1000 . The capacitance of the capacitor is 2 10⁻⁶ ~F ; angular frequency of AC is 200 rad s ⁻¹ . Then the potential difference across the inductance coil is

Options

  1. A100 ~V
  2. B40 ~V
  3. C250 ~V
  4. D400 ~V

Correct answer

C. 250 ~V

Step-by-step solution

The current in the circuit aligned i &= V _ R R &= 100 1000 =0.1 ~A aligned At resonance, aligned V _ L &= V _ C = iX _ C = i C &= 0.1 200 2 10⁻⁶ &=250 ~V aligned

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