
(a)
The impedance of a LRC circuit with 500 O resistor, 0.20 H inductor and 2.0 μF capacitor connected to a 100 V peak, 500 Hz ac source.

Answer to Problem 69QAP
The impedance of a LRC circuit with 500 O resistor, 0.20 H inductor and 2.0 μF capacitor connected to a 100 V peak, 500 Hz ac source is found to be 690 Ω.
Explanation of Solution
Given:
Formula used:
The impedance Z of an ac circuit is given by the expression,
Calculation:
Substitute the values of the variables in the formula and calculate the value of impedance of the circuit.
Conclusion:
Thus, the impedance of a LRC circuit with 500 O resistor, 0.20 H inductor and 2.0 μF capacitor connected to a 100 V peak, 500 Hz ac source is found to be 690 Ω.
(b)
The amplitude of the current from the source.

Answer to Problem 69QAP
The amplitude of the current from the source is found to be 0.15 A.
Explanation of Solution
Given:
Formula used:
The amplitude of the current from the source is equal to the peak value of current. This is given by,
Calculation:
Substitute the values of the variables in the formula and calculate the value of the peak current.
Conclusion;Thus, the amplitude of the current from the source is found to be 0.15 A.
(c)
The equation which shows the variation of current with time.

Answer to Problem 69QAP
The current in the given circuit obeys the following equation:
Explanation of Solution
Given:
The equation showing the variation of voltage with time
Formula used:
The current in the circuit varies with time according to the equation:
The phase angle is given by the expression,
Calculation:
Calculate the phase angle between current and voltage by substituting the values of the variables in equation (2).
Express the angle in radians.
Substitute the value of
Conclusion:
Thus the current in the given circuit obeys the following equation:
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