Integro Differential Equations-Electrical Circuital Analysis-Assignment, Exercises of Electronic Circuits Analysis

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

2011/2012

Uploaded on 07/06/2012

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Assignment No.5
Question No.1
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>0
Find io(t) for t>0
Ans. Vo(t) = [50e-100t - 50e-400t] u(t) V, io(t) = [40e-400t -10e-100t]u(t) mA
Question No.2
There is no energy stored in the circuit t the time switch is opened.
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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