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A circuit has a resistance of 12 ohm and an impedance of 15 ohm. The power factor of the circuit will be
- a)0.4
- b)0.8
- c)0.125
- d)1.25
Correct answer is option 'B'. Can you explain this answer?
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A circuit has a resistance of 12 ohm and an impedance of 15 ohm. The p...
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A circuit has a resistance of 12 ohm and an impedance of 15 ohm. The p...
Given:
Resistance (R) = 12 ohm
Impedance (Z) = 15 ohm
Power Factor (PF) = Cosine of the angle between the resistance and impedance in a circuit.
Explanation:
To understand the power factor, we need to know the concept of impedance.
Impedance (Z) is the total opposition to the flow of alternating current (AC) in a circuit. It consists of two components - resistance (R) and reactance (X).
Resistive Component:
Resistance (R) represents the opposition to the flow of current in a circuit due to the presence of resistors. It is measured in ohms (Ω).
Reactive Component:
Reactance (X) represents the opposition to the flow of current in a circuit due to the presence of capacitors or inductors. It is measured in ohms (Ω).
Impedance (Z) Calculation:
Impedance (Z) can be calculated using the Pythagorean theorem, which relates the resistive component (R) and the reactive component (X) of the circuit.
Z = √(R^2 + X^2)
In this case, since only the impedance (Z) and resistance (R) are given, we can assume that there is no reactive component (X) in the circuit.
Z = R
Power Factor Calculation:
Power factor (PF) is calculated by dividing the resistance (R) by the impedance (Z).
PF = R/Z
In this case, substituting the given values:
PF = 12/15 = 0.8
Therefore, the power factor of the circuit is 0.8.
Conclusion:
The correct answer is option B) 0.8.
Resistance (R) = 12 ohm
Impedance (Z) = 15 ohm
Power Factor (PF) = Cosine of the angle between the resistance and impedance in a circuit.
Explanation:
To understand the power factor, we need to know the concept of impedance.
Impedance (Z) is the total opposition to the flow of alternating current (AC) in a circuit. It consists of two components - resistance (R) and reactance (X).
Resistive Component:
Resistance (R) represents the opposition to the flow of current in a circuit due to the presence of resistors. It is measured in ohms (Ω).
Reactive Component:
Reactance (X) represents the opposition to the flow of current in a circuit due to the presence of capacitors or inductors. It is measured in ohms (Ω).
Impedance (Z) Calculation:
Impedance (Z) can be calculated using the Pythagorean theorem, which relates the resistive component (R) and the reactive component (X) of the circuit.
Z = √(R^2 + X^2)
In this case, since only the impedance (Z) and resistance (R) are given, we can assume that there is no reactive component (X) in the circuit.
Z = R
Power Factor Calculation:
Power factor (PF) is calculated by dividing the resistance (R) by the impedance (Z).
PF = R/Z
In this case, substituting the given values:
PF = 12/15 = 0.8
Therefore, the power factor of the circuit is 0.8.
Conclusion:
The correct answer is option B) 0.8.
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A circuit has a resistance of 12 ohm and an impedance of 15 ohm. The power factor of the circuit will bea)0.4b)0.8c)0.125d)1.25Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A circuit has a resistance of 12 ohm and an impedance of 15 ohm. The power factor of the circuit will bea)0.4b)0.8c)0.125d)1.25Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circuit has a resistance of 12 ohm and an impedance of 15 ohm. The power factor of the circuit will bea)0.4b)0.8c)0.125d)1.25Correct answer is option 'B'. Can you explain this answer?.
A circuit has a resistance of 12 ohm and an impedance of 15 ohm. The power factor of the circuit will bea)0.4b)0.8c)0.125d)1.25Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A circuit has a resistance of 12 ohm and an impedance of 15 ohm. The power factor of the circuit will bea)0.4b)0.8c)0.125d)1.25Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circuit has a resistance of 12 ohm and an impedance of 15 ohm. The power factor of the circuit will bea)0.4b)0.8c)0.125d)1.25Correct answer is option 'B'. Can you explain this answer?.
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