Electrical Engineering Question: Second Order Circuit

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Date Posted: 7/19/2008 10:31:20 AM Status: Live

Second Order Circuit

Course	Textbook	Chapter	Problem
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Question Details:

An electrical interacting second-order circuit has the following component values:

R₁ = 100 Ω

R₂ = 300 Ω

R_L = 50 Ω

C₁ = 0.1 μF

C₂ = 0.8 μF

Determine τ₁ (Tau₁ ), τ₂ (Tau₂) , the time-domain equation, and the transfer function.

PLEASE NOTE: DUE TO A FORMATTING ERROR, T = TAU

My solution:

τ₁ ( i.e Tau₁ ) = R₁C₁ = τ₁ = 100 Ω x 10 μF = 10s

τ₂ (i.e. Tau₂ ) = R₂C₂ = 300 Ω x 0.8 μF = 240s

Time domain equation given by:

= 0.11 [250 + 60 + 80]

= 43

A₂ = Gτ₁τ₂ = GTau₁Tau₂ = 0.11 x 10 x 240 = 264

Time domain equation = 264 d²y/dt² + 43 dy/dt + y = 0.11x

Transfer Function = Y(s)/X(s) = 0.11/1 + 43s + 264s²

Need some direction. Please help.

Second Order Circuit