(a)
The current in the circuit and phase relative to the applied voltage.
(a)
Answer to Problem 33.60AP
The current in the circuit is
Explanation of Solution
Given info: The resistance of the circuit is
Write the expression to calculate the inductive resistance of the circuit.
Here,
Substitute
Thus, the inductive resistance of the system is
Write the expression to calculate the capacitive resistance of the circuit.
Here,
Substitute
Thus, the capacitive resistance of the system is
Write the expression to calculate the impedance of the circuit.
Here,
Substitute
Thus, the impedance of the circuit is
Write the expression to calculate the current in the circuit.
Here,
Substitute
Thus, the current in the circuit is
Write the expression to calculate the phase angle.
Here,
Substitute
Thus, the phase angle is
Conclusion:
Therefore, the current in the circuit is
(b)
The maximum voltage across resistor and its phase relative to the current.
(b)
Answer to Problem 33.60AP
The maximum voltage across resistor is
Explanation of Solution
Given info: The resistance of the circuit is
Write the expression to calculate the voltage across resistor.
Here,
Substitute
Thus, the voltage across resistor is
In case of resistance, the phase difference between the voltage and current across resistor is zero. Hence, the phase relative to current is
Conclusion:
Therefore, the maximum voltage across resistor is
(c)
The maximum voltage across capacitor and its phase relative to the current.
(c)
Answer to Problem 33.60AP
The maximum voltage across capacitor is
Explanation of Solution
Given info: The resistance of the circuit is
Write the expression to calculate the voltage across capacitor.
Here,
Substitute
Thus, the voltage across capacitor is
In case of capacitor the current leads in the capacitor lags the voltage by
Conclusion:
Therefore, the maximum voltage across capacitor is
(d)
The maximum voltage across inductor and its phase relative to the current.
(d)
Answer to Problem 33.60AP
The maximum voltage across inductor is
Explanation of Solution
Given info: The resistance of the circuit is
Write the expression to calculate the voltage across inductor.
Here,
Substitute
Thus, the voltage across inductor is
In case of capacitor the current leads in the inductor leads the voltage by
Conclusion:
Therefore, the maximum voltage across inductor is
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Chapter 33 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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