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Explanation & Answer
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Running head: Second Order Circuits
Electrical Circuits hw7
Mohammad Alhilal
UTC
Second Order Circuits
1. Refer to the circuit shown below. Find:
Solutions
Second Order Circuits
Second Order Circuits
2. The differential equation that describes the current in an RLC network
Solution
We know that
L (dn x/dx)
=sn . l(x) – sn-1 x(0) – sn-2 x1 (0) …….
Given RLC equations
(d2v/ dt2 ) + s. (dv/dt) + 4v = 0
Taking Laplace transform of RLC equation
S2V (S) – S V(0) – dv(0)/dt + 5S v(s) – v(0) - 4V (s) = 0
From given values
V(0) =0 , dv(0)/dt =5
S2 V(s) – s. (0) – 5 5 + 5SV(s) – 0 + 4 v(s) = 0
V9s0 = ( 5/ S2 + 5S +) = (5/S2 + 4S +S + 4) = (5/S(S+4) ...