a) An RC circuit is shown as in Figure Q.2 (a). V1 is an input signal to the system while vr(t) is the output of the system. O UT V1 VR(t) R Figure Q.2 (a) UTM (i) Find the transfer function for the circuit. UTM (ii) Find the function to describe the behaviour of the circuit at very low ITM frequencies. Also determine the magnitude and phase of this circuit at very TM low frequencies. TM (iii) Find the U1 UT. iour of the circuit at very high frequencies. Also determine the magnitude and phase of this circuit at very high frequencies. TM

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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5 UT
a) An RC circuit is shown as in Figure Q.2 (a). V1 is an input signal to the system
while vr(t) is the output of the system.
O UT
V1
VR(t)
R
0.
Figure Q.2 (a)
UTM
Find the transfer function for the circuit.
(ii)
ITM
frequencies. Also determine the magnitude and phase of this circuit at very
Find the function to describe the behaviour of the circuit at very low
UTM
low frequencies.
(iii) Find the function to describe the behaviour of the circuit at very high
UTM
frequencies. Also determine the magnitude and phase of this circuit at very
Ul
high frequencies.
(iv) What is the expression for the corner frequency of the circuit?
----k)
U (v) Find the transfer function which governs the behaviour of the circuit at the
TM
corner frequency. Also find the magnitude and phase of the function at the
corner frequency.
(vi) Sketch a plot of the magnitude of une transfer function vs frequency un
Hertz). Clearly indicate the value at very high frequencies, very low
UTM
frequencies and the corner frequency. Mark the corner frequency on the
UTM
sketch.
Transcribed Image Text:5 UT a) An RC circuit is shown as in Figure Q.2 (a). V1 is an input signal to the system while vr(t) is the output of the system. O UT V1 VR(t) R 0. Figure Q.2 (a) UTM Find the transfer function for the circuit. (ii) ITM frequencies. Also determine the magnitude and phase of this circuit at very Find the function to describe the behaviour of the circuit at very low UTM low frequencies. (iii) Find the function to describe the behaviour of the circuit at very high UTM frequencies. Also determine the magnitude and phase of this circuit at very Ul high frequencies. (iv) What is the expression for the corner frequency of the circuit? ----k) U (v) Find the transfer function which governs the behaviour of the circuit at the TM corner frequency. Also find the magnitude and phase of the function at the corner frequency. (vi) Sketch a plot of the magnitude of une transfer function vs frequency un Hertz). Clearly indicate the value at very high frequencies, very low UTM frequencies and the corner frequency. Mark the corner frequency on the UTM sketch.
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