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Question -

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 behaviour with that of a capacitor in a dc circuit after thesteady state.



Answer -

Capacitance of thecapacitor, C = 100 μF = 100 × 10−6 F

Resistance of the resistor, R =40 Ω

Supply voltage, V =110 V

Frequency of the supply, ν =12 kHz = 12 × 103 Hz

Angular Frequency, ω =2 πν= 2 × π × 12 × 10303

= 24π × 103 rad/s

Peakvoltage, 
Maximum current, 

For an RC circuit,the voltage lags behind the current by a phase angle of Φ givenas:

Hence, Φ tendsto become zero at high frequencies. At a high frequency, capacitor C acts as aconductor.

In a dc circuit, after the steadystate is achieved, ω = 0. Hence, capacitor C amounts to anopen circuit.

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