(a)
The average power supplied to the circuit.
(a)
Answer to Problem 70P
Explanation of Solution
Given:
RMS voltage,
Frequency,
RMS current,
Phase difference between the current and the voltage,
Calculation:
The average power is
Conclusion:
The average power supplied to the circuit is
(b)
The resistance of the circuit.
(b)
Answer to Problem 70P
Explanation of Solution
Given:
RMS voltage,
Frequency,
RMS current,
Phase difference between the current and the voltage,
Average power,
Calculation:
The resistance is,
Conclusion:
This is the resistance of the circuit.
(c)
The capacitance of the circuit.
(c)
Answer to Problem 70P
Explanation of Solution
Given:
Rms voltage,
Frequency,
Rms current,
Phase difference between the current and the voltage,
Average power,
Inductance,
Resistance,
Formula used:
Capacitive reactance,
Impedance,
Calculation:
The capacitive impedance is,
The capacitance is derived as,
Conclusion:
The capacitance is
(d)
The change in the capacitance to make the power factor equal to 1.
(d)
Answer to Problem 70P
Explanation of Solution
Given:
Rms voltage,
Frequency,
Rms current,
Phase difference between the current and the voltage,
Average power,
Inductance,
Capacitance,
Formula used:
Capacitive reactance,
Frequency,
Calculation:
The capacitance at power factor 1 is
The change in the capacitance for which the power factor is 1 is,
Conclusion:
The capacitance must change
(e)
The change in inductance to make the power factor 1.
(e)
Answer to Problem 70P
Explanation of Solution
Given:
RMS voltage,
Frequency,
RMS current,
Phase difference between the current and the voltage,
Average power,
Inductance,
Capacitance,
Formula used:
Capacitive reactance,
Frequency,
Calculation:
The capacitance at power factor 1 is
The change in the inductance for which the power factor is 1 is
Conclusion:
The change in inductance to make power factor 1 is
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Chapter 29 Solutions
Physics for Scientists and Engineers
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