ECE :: Network Analysis and Synthesis
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The circuit shown in the figure has initial current iL(0) = 1A through the inductor and an initial voltage vc(0) = 1 V across the capacitor. For input v(t) = U(t) the Laplace transform of the current i(t) for t ≥ 0 is

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The current wave of figure, is passed through a 3 H inductor during the period 0 to 2 seconds

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The minimum number of equations required to analyze the circuit shown in the figure is

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If Z(s) has a pole at origin, the realization leads to
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A series resonant circuit has inductance L. If L is increased, the resonant frequency
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In a coupled coil the primary has 100 turns and secondary has 200 turns. The primary produces, a flux Φ = e-t. The coefficient of coupling is 1. The voltages induced in secondary is

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Vi(s) = I(s).R + Ls I(s) - Li(0+) + 
.
. Hence RC = 6 μs.

. Hence, the network has capacitance in series.
. As L increases ωr decreases.


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