# electrical circuits hw7

*label*Science

*timer*Asked: Jun 26th, 2018

*account_balance_wallet*$25

**Question description**

Type your answers in a Word file, and then upload your Word document then convert it to pdf.

my info:

name: Mohammad Alhilal

institution: UTC

## Tutor Answer

Attached.

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) ...

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