problem 1: Draw a circuit diagram of a series RLC circuit fed by a voltage V = VmCosw t and get expressions for current, voltage and phase difference between the two.

problem 2: Sketch the equivalent circuit of an iron cored transformer fed by the voltage source. prepare down the KVL equations and draw the final circuit of coupled system.

problem 3: Illustrate a comparison between logarithmic and Laplace transformation. Show how inverse Laplace transform transforms frequency domain function F(s) to the time domain function f (t).

problem 4: Obtain the Laplace transform of:

A: f (t) = exp (at)
B: f (t) = sin (wt)

problem 5: Show how source transformation from the voltage to current source and vice-versa can be effected.

problem 6: Spilt a series of RLC circuit energized by an a.c. circuit to 3 loops and also prepare the loop equations.

problem 7: Find out the Laplace transform of a Saw tooth waveform of period T by using the Gate theorem with an illustration.

problem 8: Deduce expression for attenuation, propagation constant and the character impedance for the p type filter.

problem 9: Sketch the circuit diagram of a two port network by using ^-parameters and derive its condition of the symmetry.

problem 10: The voltage applied to series RLC circuit is 5 V. The q factor of the coil is 25 and the value of capacitor is 200PF. The resonant frequency of circuit is 200 KHz. Determine the value of inductance, the circuit current and the voltage across the capacitor.