
(a)
The RMS current in all branch of the circuit if frequency is 500 Hz.
(a)

Answer to Problem 41P
Explanation of Solution
Given:
Load resistance is
Inductance of inductor is
Resistance of resistor is
Frequency is
Ideal voltage output is
Formula used:
Phase angle is expressed as
Here,
Resultant reactance for parallel combination is is
Here,
Peak current is
Calculation:
Substitute
Substitute
Therefore, final value of
Substitute 100 V for
RMS current is
And
The current for resistor and inductor are
And
Conclusion:
Hence, the requiredcurrent across each branch are
(b)
RMS current in all branch of the circuit if frequency is 2000 Hz.
(b)

Answer to Problem 41P
The required current across each branch are
Explanation of Solution
Given:
Load resistance is
Inductance of inductor is
Resistance of resistor is
Frequency is
Ideal voltage output is
Formula used:
Phase angle is expressed as
Here,
Resultant inductance is
Here,
Peak current is
Calculation:
Substitute
Substitute
Therefore, final value of
Substitute 100 V for
RMS current is
And
The current for resistor and inductor are
And
Conclusion:
Hence, the required current across each branch are
(c)
The fraction of the total average power supplied by the ac generator that is delivered to the load resistor if the frequency is 500 Hz.
(c)

Answer to Problem 41P
Explanation of Solution
Given:
Load resistance is
Inductance of inductor is
Resistance of resistor is
Frequency is
RMS current is
RMS current across
Ideal voltage output is
Formula used:
The fraction of the total power delivered by the source that is dissipated in load resistor can be expressed as
Here,
Calculation:
Substitute 500 Hz for
Conclusion:
Hence, the required the fraction of the total average power supplied by the ac generator that is delivered to the load resistor if the frequency is 500 Hz is
(d)
The fraction of the total average power supplied by the ac generator that is delivered to the load resistor if the frequency is 2000 Hz.
(d)

Answer to Problem 41P
Explanation of Solution
Given:
Load resistance is
Inductance of inductor is
Resistance of resistor is
Frequency is
RMS current is
RMS current across
Ideal voltage output is
Formula used:
The fraction of the total power delivered by the source that is dissipated in load resistor can be expressed as
Here,
Calculation:
Substitute 2000 Hz for
Conclusion:
Hence, the required the fraction of the total average power supplied by the ac generator that is delivered to the load resistor if the frequency is 2000 Hz is
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Chapter 29 Solutions
Physics for Scientists and Engineers
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