In the circuit below, the switch has been in the closed position for a long time.

Question

Question

In the circuit below, the switch has been in the closed position for a long time. At t=0, the switch is opened.

(a) Calculate the time constant τ = L/RTH for the circuit, for t > 0.

(b) What is the value of io(t → 0^-)?

(c) What is the value of io(t → 0⁺)?

(d) What is the value of io(t → ∞)?

(e) Write the expression for i₀(t), t> 0. Hence, calculate the values of i₀(t) at t =t, 2τ, 3τ,4τ, 5τ.

(f) Plot the i₀(t) vs.t curve on the next page.

Answer 1

Answer #1

e)

matlab code to plot i0(t) vs t

clc

clear

t= 0:0.1:10;

i=1.2*exp(-3.*t);

plot(t,i)

Answer 2

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