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BITSAT2016PhysicsAlternating CurrentActual

A resistor of resistance R , capacitor of capacitance C and inductor of inductance L are connected in parallel to AC power source of voltage ₀ t . The maximum current through the resistance is half of the maximum current through the power source. Then value of R is

Options

  1. A3 | C- 1 L |
  2. B3 | 1 C - L |
  3. C5 | 1 C - L |
  4. DNone of these

Correct answer

A. 3 | C- 1 L |

Step-by-step solution

i_ R₀ (i_ R₀ )²+ (i_ c₀ -i_ L₀ )² = 1 2 ₀ / R ( ₀ / R )²+ ( ₀ C- ₀ L )² = 1 2 R= 3 ( C- 1 L )

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