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1. Find the general solution y(t) of the ordinary di erential equation
where ω is a non-negative constant. (Consider the ω = 0 and ω > 0 cases separately).
2. Use Laplace transform to solve the following di erential equation for y(t):
given that y(0) = 0 and y'(0) = 2.3. Consider the following partial di erential equation for u(x; t)
(a) If is a function of t, derive two ODEs by separation of variables.
(b) If is a function of x, derive two ODEs by separation of variables.
Q. A transformer is rated 10 kVA, 220:110 V (rms). Consider it an ideal transformer. (a) Compute the turns ratio and the winding current ratings. (b) If a 2-load resistance
Q. Explain Charge-to-Charge Amplifier A circuit is shown in Figure in which there is a capacitor C1 in the - input line and a capacitor Cf in the feedback loop. KCL at node X g
Q. Implement the following Boolean functions by employing 8-to-1multiplexers. (a) F 1 (A,B,C) = Σ m i (0, 2, 4, 6) (b) F 2 (A,B,C) = Σ m i (1, 3, 7)
Q. Explain the theory of thermal runaway? The maximum average power Pdmax which a transistor can dissipate depends upon the transistor construction and may lie in the
Q. Consider the synchronous counter shown in Figure of the text. (a) Draw its timing diagram. (b) Show the implementation of the same synchronous counter using D flip-flops.
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