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If the voltage and current in an A.C. circuit is 90° out of phase, then the power in the circuit will be -
  • a)
    Minimum
  • b)
    Maximum
  • c)
    Zero
  • d)
    90 Watt
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the voltage and current in an A.C. circuit is 90° out of phase,...
Understanding A.C. Circuits
In an alternating current (A.C.) circuit, the relationship between voltage and current is crucial for determining the power consumed. When voltage and current are 90° out of phase, it has significant implications for power calculation.
Power in A.C. Circuits
- Power in A.C. circuits is calculated using the formula:
- P = V * I * cos(φ)
- Where:
- P = Power (Watts)
- V = Voltage (Volts)
- I = Current (Amperes)
- φ = Phase angle (degrees) between voltage and current
Phase Angle Effect
- When the phase angle φ is 90°:
- cos(90°) = 0
- Thus, P = V * I * 0 = 0
Conclusion: Zero Power
- Hence, when voltage and current are 90° out of phase, the power consumed in the circuit is zero.
- This indicates that no real work is done, and all the energy is oscillating back and forth without being utilized.
Implications in Circuit Design
- Circuits designed with this phase difference can be inefficient as they do not contribute to useful power.
- Understanding these phase relationships is crucial for electrical engineers to optimize circuit performance.
In summary, when voltage and current are 90° out of phase in an A.C. circuit, the result is zero power, meaning energy is not effectively converted into useful work.
Free Test
Community Answer
If the voltage and current in an A.C. circuit is 90° out of phase,...
The correct answer is 'option C'
Concept:
The power in an AC circuit is given by the expression
ϕP=VIcosϕ........(1)
here, ϕ is the angle between voltage and current.
Solution:
It is given to us that ϕ = 900
From eqn(1)
P = 0 Watts
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