For the undamped RLC circuit shown in Figure 3.1, the input current, in, can be assumed to be in sinusoidal steady with a value of losin(wt) where w corresponds to the input frequency in radians per second and lo is the input current amg associated transfer characteristic is given by Figure 3.2, where v is the output voltage indicated in Figure 3.1. If the capacitor, C, has a value of 10 µF, show that the value of L = 520 nH. İIN C R Figure 3.1 10° 10 10L 10 10 Frequency in kHz 3 10 Figure 3.2 Write the characteristic equation for the circuit in Figure 3.1 in terms of R, L and Cand the complex frequency, s, where s = jw in sinusoidal steady state. Based on the values of L and C from question 3(a), use the transfer characteristic of Figure 3.1 to determine the value of the approximate numerical value of the resistor, R.

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Question 3
3. (a) For the undamped RLC circuit shown in Figure 3.1, the input current, in, can be assumed
to be in sinusoidal steady with a value of losin(wt) where w corresponds to the input
frequency in radians per second and lo is the input current amg
associated
transfer characteristic is given by Figure 3.2, where v is the output voltage indicated in
Figure 3.1. If the capacitor, C, has a value of 10 µF, show that the value of L = 520 nH.
C R
L
Figure 3.1
10
10
10
101
10
Frequency in kHz
10°
Figure 3.2
(b) Write the characteristic equation for the circuit in Figure 3.1 in terms of R, L and Cand
the complex frequency, s, where s = jw in sinusoidal steady state.
(c) Based on the values of L and C from question 3(a), use the transfer characteristic of
Figure 3.1 to determine the value of the approximate numerical value of the
resistor, R.
Transcribed Image Text:Question 3 3. (a) For the undamped RLC circuit shown in Figure 3.1, the input current, in, can be assumed to be in sinusoidal steady with a value of losin(wt) where w corresponds to the input frequency in radians per second and lo is the input current amg associated transfer characteristic is given by Figure 3.2, where v is the output voltage indicated in Figure 3.1. If the capacitor, C, has a value of 10 µF, show that the value of L = 520 nH. C R L Figure 3.1 10 10 10 101 10 Frequency in kHz 10° Figure 3.2 (b) Write the characteristic equation for the circuit in Figure 3.1 in terms of R, L and Cand the complex frequency, s, where s = jw in sinusoidal steady state. (c) Based on the values of L and C from question 3(a), use the transfer characteristic of Figure 3.1 to determine the value of the approximate numerical value of the resistor, R.
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