Concept explainers
(a)
The rms current in the circuit.
(a)
Answer to Problem 40P
The rms current in the circuit is
Explanation of Solution
Write expression for rms current.
Here,
Write expression for
Here,
Write expression for
Here,
Write expression for
Here,
Write expression for
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Therefore, the rms current in the circuit is
(b)
The power factor in the circuit.
(b)
Answer to Problem 40P
The power factor of the circuit is
Explanation of Solution
Write expression for power factor in the circuit.
Here,
Write expression for phase angle.
Conclusion:
Substitute
Substitute
Therefore, the power factor of the circuit is
(c)
The capacitor that must be added in series to make the power factor equal to 1.
(c)
Answer to Problem 40P
The capacitor that must be added in series to make the power factor equal to 1 is
Explanation of Solution
To make the power factor equals to
Substitute
Therefore, the capacitor that must be added in series to make the power factor equal to 1 is
(d)
The reduction in the supply voltage.
(d)
Answer to Problem 40P
The reduction in the supply voltage is
Explanation of Solution
Write expression for average power in terms for rms volage.
Here,
Write expression for power in terms of power factor.
Conclusion:
Equate equation (VIII) and equation (IX).
Substitute
Therefore, The reduction in the supply voltage if the power remains same is
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Chapter 33 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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