SATHEE: Electro Magnetic Induction And Alternating Currents Question 199

Electro Magnetic Induction And Alternating Currents Question 199

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

Options:

A) $1 / 2$

B) $1 / \sqrt{2}$

C) 1

D) $\sqrt{3} / 2$

Show Answer

Answer:

Correct Answer: C

Solution:

when L is removed from the circuit

$[∵ R = \frac{V}{I} = \frac{80}{10} = 8]$

$X_{C} = R, \tan, \frac{π}{3}$ –(i)

when C is remove from the circuit

$\frac{X_{L}}{R} = \tan, \frac{π}{3}$

$X_{C} = R, \tan, \frac{π}{3}$ …(ii)

net impedence $Z = \sqrt{R^{2} + (X_{L} - X_{C})} = R$

power factor cos $ϕ, = \frac{R}{Z} = 1$

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Electro Magnetic Induction And Alternating Currents Question 199

Options:

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