7.16 Obtain the answers to (a) and (b) in Exercise 7.15 if the circuit is connected to a 110 V, 12 kHz supply? Hence, explain the statement that a capacitor is a conductor at very high frequencies. Compare this behavior with that of a capacitor in a dc circuit after the steady state.
7.16 Obtain the answers to (a) and (b) in Exercise 7.15 if the circuit is connected to a 110 V, 12 kHz supply? Hence, explain the statement that a capacitor is a conductor at very high frequencies. Compare this behavior with that of a capacitor in a dc circuit after the steady state.
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1 Answer
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7.16 Capacitance of the capacitor, C = 100 = 100 F
Resistance of the resistor, R = 40 Ω
Supply voltage, V = 110 V
Frequency of the supply voltage, = 12 kHz = 12 Hz
Angular frequency, = 2 = 2 rad/s = 24 rad/s
For a RC circuit, the impedance Z, is given by Z =
Z = = 40 Ω
Peak voltage, = = = 155.56 V
Peak current, = = = 3.8
9 A
In a capacitor circuit, the voltage lags behind the current by a phase angle of . This angle is given by the relation
= &n
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