AIPMT PRELIMS2006Physics-Alternating Current
AIPMT PRELIMS 2006 Physics Power Factor MCQ Question
Type: MCQ-numerical-Medium-Class 12
A coil of inductive reactance 31 Ω has a resistance of 8 Ω. It is placed in series with a condenser of capacitative reactance 25 Ω. The combination is connected to an a.c. source of 110 V. The power factor of the circuit is:
A
0.40
B
0.128
C
0.80
D
0.66
Correct Answer
Option C
Detailed Explanation
The power factor is calculated using the formula cos(ϕ) = R/Z, where Z is the impedance. The impedance Z is calculated as √(R² + (X_L - X_C)²). Substituting the given values, the power factor is 0.80.
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