Verified Solution • 2025–26 Session moderate

QAIPM-2012-Ph-1772: NEET 2012 Physics - Class 12 AIPM-2012-Ph-1772 Solution: In an electrical circuit R, L, C and a.c. voltage source are…

In an electrical circuit R, L, C and a.c. voltage source are all connected in series. When L is removed from the circuit, the phase difference between the voltage and the current in the circuit is π/3\pi/3. If instead, C is removed from the circuit, the phase difference is again π/3\pi/3. The power factor of the circuit is

Multiple Choice Options

  • A 12\frac{1}{2}
  • B 12\frac{1}{\sqrt{2}}
  • C 1
  • D 32\frac{\sqrt{3}}{2}

Step-by-Step Verified Solution

When L is removed, the phase difference between the voltage and current is tan _ 1 = X C R _ tan _ � 3 = X C R _ X C = 3 R When C is removed, the phase difference between the voltage and current is tan _ 2 = X L R _ tan _ � 3 = X L R _ X L = 3 R As X L = X C , the series LCR circuit is in resonance. Net impedence, Z = R 2 + ( X L _ X C ) 2 = R Power factor, cos _ = R Z = R R = 1

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