(a)
The average power delivered to each resistor if the driving frequency is 100 Hz.
(a)
Answer to Problem 42P
The required average powers are
Explanation of Solution
Given:
Ideal AC voltage source is
An ideal battery (whose EMF is
Resistances of two resistor are
Inductance of inductor is
Driving frequency is
Formula used:
Total power delivered to
And
Here,
Expression for power is
Here,
Calculation:
Dc powers delivered to the resistor whose resistances are
And
Average AC power is
Apply Kirchhoff’s loop law,
Solve equation (7)
Average ac power delivered is calculated as
Substitute
And
Substitute 16 V for
And
Conclusion:
Hence, the requiredaverage powers are
(b)
The average power delivered to each resistor if the driving frequency is 200 Hz.
(b)
Answer to Problem 42P
The required average power are
Explanation of Solution
Given:
Ideal AC voltage source is
An ideal battery (whose EMF is
Resistances of two resistor are
Inductance of inductor is
Driving frequency is
Formula used:
Total power delivered to
And
Here,
Expression for power is
Here,
Calculation:
Dc powers delivered to the resistor whose resistances are
And
Average AC power is
Apply Kirchhoff’s loop law,
Solve equation (7)
Average ac power delivered is calculated as
Substitute
And
Substitute 16 V for
And
Conclusion:
Hence, the required average powers are
(c)
The average power delivered to each resistor if the driving frequency is 800 Hz.
(c)
Answer to Problem 42P
The required average powerare
Explanation of Solution
Given:
Ideal AC voltage source is
An ideal battery (whose EMF is
Resistances of two resistor are
Inductance of inductor is
Driving frequency is
Formula used:
Total power delivered to
And
Here,
Expression for power is
Here,
Calculation:
Dc powers delivered to the resistor whose resistances are
And
Average AC power is
Apply Kirchhoff’s loop law,
Solve equation (7)
Average ac power delivered is calculated as
Substitute
And
Substitute 16 V for
And
Conclusion:
Hence, the required average powers are
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Chapter 29 Solutions
Physics For Scientists And Engineers Student Solutions Manual, Vol. 1
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- An ac source of voltage amplitude 10 V delivers electric energy at a rate of 0.80 W when its current output is 2.5 A. What is the phase angle between the emf and the current?arrow_forwardSuppose a coil has a self-inductance of 20.0 H and a resistance of 200 . What (a) capacitance and (b) resistance must be connected in series with the coil to produce a circuit that has a resonant frequency of 100 Hz and a Q of 10?arrow_forwardCalculate the rms currents for an ac source is given by v(t)=v0sint , where V0=100V and =200rad/s when connected across (a) a 20F capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.arrow_forward
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