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This assignment was given by Hema Bachan at University of Kalyani for Electrical Circuital Analysis course. It includes: Energy, Integro-differential, Equation, Voltage, Laplace, Domain, Switch, Circuit, Open, Node
Typology: Exercises
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Assignment No.
Question No.
There is no energy stored in the circuit shown below at time t=0.
a. Derive the intergro-differential equation that governs the behavior of the voltage Vo and show that in laplace domain
Also show that
b. The circuit parameters are R=1K,L=12.5H and C=2uF and Idc 30mA Find vo(t) for t>
Find io(t) for t>
Ans. Vo(t) = [50e-100t^ - 50e-400t] u(t) V, io(t) = [40e-400t^ -10e-100t]u(t) mA
Question No.
There is no energy stored in the circuit t the time switch is opened.
a. Derive the integro-differential equations that govern the behavior of the node voltages v1(t) and v2(t). Then show that
b. The circuit parameters are R=1600, L=200mH and C=0.2uF. If Idc=6mA find v2(t) for t> Ans. V2(t) = [10e-4000tsin3000t]u(t) V.
Question No.
The switch in the circuit remains at a for a long time. AT time t=0 it moves instantaneously to b.
a. Derive the integro-differential equation that governs the behavior of io for t>0. Then show that