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If x[n] ↔ X(Ω) are Fourier transform pairs, find the Fourier transform of nx[n].


Find the inverse Fourier transform of X(Ω), which is a rectangular pulse:


X(Ω) = 1, −W0 < Ω < W0

0 elsewhere


Prove the Parseval’s relation for discrete-time aperiodic signals:


Comment on the stability and causality of a system h(t) which has a frequency response:


H(ω) = 1, −W0 < ω < W0

0, elsewhere


Comment on the stability and causality of a system h[n] which has a frequency response:



H(Ω) = 1, −Ω0 < Ω < Ω0


0, elsewhere

Construct a high pass filter using a low-pass filter having an impulse response:



h[n] =(a^n)(u[n]) 0 < a < 1

  1. How does an electric field and magnetic field affect the kinetic energy of a charged particle moving in free space?
  2. What is the relationship between magnetic torque and force?
  3. Differentiate the magnetic moments: orbital spin moment, electron spin moment, and nuclear spin moment.

Consider a dc machine whose circuit model is drawn below. It is a separately excited



machine as its field coil (winding) is excited from a voltage source independent of the



armature circuit. A 25 kW, 250 V dc machine is separately excited. The field current



is held constant at a speed of 3000 rpm. The open circuit voltage is 250 V. Calculate



the terminal power, electromagnetic power and torque at terminal voltage of 255 V



and 248 V. The armature resistance is 0.05 W. Speed is held constant at 3000 rpm.




How many sheets of a dielectric are necessary to make a condenser having a capacity of 5.5nF when the sheets are 15cm x 30cm in area and 0.29cm thick? Use k = 8



Write a Executive summary on (Zenor Diode) with 75-95words only. Also write its at least 2 example with explanations


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