(a)
The capacitance of the circuit.
(a)
Answer to Problem 93E
The capacitance of the circuit is
Explanation of Solution
Write the expression for the resonant frequency of the circuit.
Here,
Rearrange the above equation.
Conclusion:
Substitute
Thus, the capacitance of the circuit is
(b)
The reactance at the frequency above
(b)
Answer to Problem 93E
The reactance of the circuit is
Explanation of Solution
Write the expression for the reactance of the circuit.
Here,
Write the expression for inductive impedance.
Write the expression for capacitive impedance.
Conclusion:
The value of the new frequency is above
Write the expression for
Substitute
Substitute
Substitute
Substitute
Thus, the reactance of the circuit is
(c)
The value of the resistance.
(c)
Answer to Problem 93E
The value of the resistance is
Explanation of Solution
Write the expression for the impedance for the frequency
Here,
Write the expression for the impedance for the frequency
Here,
Divide equation (5) by equation (6)
Write the expression for the reactance of the circuit.
Write the expression for inductive impedance.
Write the expression for capacitive impedance.
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Solved the above equation.
Thus, the value of the resistance is
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Chapter 20 Solutions
General Physics, 2nd Edition
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