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Question

The following circuit reaches steady state before the switch closes at t=0. The current i(t) through the

capacitor C for t>0 can be described as:

i (t) = (A₁ et +A₂ eft) A

Calculate the constants A₁, A₂, a, and ß in this equation. Consider a > ß.

V₂ = 16V

R₁=100

B=

m

R₂=300 L=10H

t=0

(Limit your answer to 3 decimal places)

A₁ =

A₂ =

a =

(7 Marks)

(6 Marks)

(6 Marks)

(6 Marks)

i (t)

C=1¹F

20

Fig: 1