(a)
The frequency of the RC circuit.
(a)
Answer to Problem 94P
The capacitive reactance are
Explanation of Solution
The capacitance of capacitor is
Write the expression for capacitive reactance
Here,
Substitute
Thus, the capacitive reactance is
Substitute
Thus, the capacitive reactance is
(b)
The impedance of the series circuit.
(b)
Answer to Problem 94P
The impedance of the series circuit is
Explanation of Solution
The capacitor is connected in series with a resistor of resistance,
Write the expression for impedance
Here,
Substitute
Thus, the impedance is
Substitute
Thus, the impedance is
(c)
The maximum current in the series circuit at the peak voltage.
(c)
Answer to Problem 94P
The maximum current for the given frequencies are
Explanation of Solution
The peak voltage of the source is
Write the expression for maximum current
Here,
Substitute
Thus, the maximum current is
Substitute
Thus, the maximum current is
(d)
The phase angle between the voltage and the current.
(d)
Answer to Problem 94P
The current leads the voltage by
Explanation of Solution
Initially, there is no charge on the capacitor when the ac supply is turned on. Thus,
Write the expression for phase angle
Here,
Rearrange
Substitute
Thus, the phase angle is
Substitute
Thus, the phase angle is
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