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Question 4 a) Assume that there is no initial energy stored in the circuit shown in Figure-6. Using Laplace Transform to i. Find the transfer function $H(s) = \frac{V_o(s)}{V_i(s)}$. (7 marks) ii. Calculate the response when $v(t) = u(t)$ V (8 marks) b) Fourier series is an expansion of periodic function in terms of an infinite sum of sines and cosines. It is known as harmonic analysis that consist of odd and even harmonics. For the half-wave rectified sinusoidal current waveform of Figure-7: i. Find the Fourier Series expansion. (8 marks) ii. Estimate the resulting voltage if the half-wave rectified sinusoidal current waveform is passing through an inductor having inductance $L = 1$ H (2 marks)

          Question 4
a) Assume that there is no initial energy stored in the circuit shown in Figure-6. Using
Laplace Transform to
i. Find the transfer function $H(s) = \frac{V_o(s)}{V_i(s)}$.
(7 marks)
ii. Calculate the response when $v(t) = u(t)$ V
(8 marks)
b) Fourier series is an expansion of periodic function in terms of an infinite sum of sines
and cosines. It is known as harmonic analysis that consist of odd and even harmonics.
For the half-wave rectified sinusoidal current waveform of Figure-7:
i. Find the Fourier Series expansion.
(8 marks)
ii. Estimate the resulting voltage if the half-wave rectified sinusoidal current
waveform is passing through an inductor having inductance $L = 1$ H
(2 marks)

Question 4
a) Assume that there is no initial energy stored in the circuit shown in Figure-6. Using
Laplace Transform to
i. Find the transfer function H(s) = (Vo(s))/(Vi(s)).
(7 marks)
ii. Calculate the response when v(t) = u(t) V
(8 marks)
b) Fourier series is an expansion of periodic function in terms of an infinite sum of sines
and cosines. It is known as harmonic analysis that consist of odd and even harmonics.
For the half-wave rectified sinusoidal current waveform of Figure-7:
i. Find the Fourier Series expansion.
(8 marks)
ii. Estimate the resulting voltage if the half-wave rectified sinusoidal current
waveform is passing through an inductor having inductance L = 1 H
(2 marks)

Added by Jessica L.

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