SATHEE: Electro Magnetic Induction And Alternating Currents Question 180

Electro Magnetic Induction And Alternating Currents Question 180

Question: A coil of inductive reactance $31, Ω$ has a resistance of $8, Ω$ . It is placed in series with a condenser of capacitive reactance $25, Ω$ . The combination is connected to an a.c. source of 110 volt. The power factor of the circuit is

Options:

A) 0.64

B) 0.80

C) 0.33

D) 0.56

Show Answer

Answer:

Correct Answer: B

Solution:

Power factor, $ϕ = \frac{R}{\sqrt{{(ω L - \frac{1}{ω C})}^{2} + R^{2}}}$ $= \frac{8}{\sqrt{{(31 - 25)}^{2} + 8^{2}}} = \frac{8}{\sqrt{6^{2} + 8^{2}}} = \frac{8}{10} = 0.8$

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Electro Magnetic Induction And Alternating Currents Question 180

Question: A coil of inductive reactance 31,Ω has a resistance of 8,Ω . It is placed in series with a condenser of capacitive reactance 25,Ω . The combination is connected to an a.c. source of 110 volt. The power factor of the circuit is

Options:

Answer:

Solution:

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Question: A coil of inductive reactance $31, Ω$ has a resistance of $8, Ω$ . It is placed in series with a condenser of capacitive reactance $25, Ω$ . The combination is connected to an a.c. source of 110 volt. The power factor of the circuit is