b) Given an RL circuit with the equation 5 UTM & UTM where L is the inductance, R is the resistance and 900 is the voltage dI L- 5UTM & UTM + RI = 900, source. 3 UTM 8 &UTM i. Show that the solution of the above equation is UTM 6 UTM UTM 5 UTM & UTM 5 UTM 900 I(t) = & UTM UTM + Ce-# R ii. The series are connected with inductance 350 henry, and the resistance 5 UTM & UTM 5 UTM is 18 ohms. Find I(t) if the initial current I(0) = 0. Calculate the current I(t) at time t = 1 minute. TM 5 UTM * UTM

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 22EQ: 22. The networks in parts (a) and (b) of Figure 2.23 show two resistors coupled in series and in...
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b) Given an RL circuit with the equation
5 UTM
6 UTM
where L is the inductance, R is the resistance
UTM UTM
+ RI = 900,
dI
L
U
i. Show that the solution of the above equation is
Source.
&UTM
UTM
UTM
UTM
6 UTM
900
I(t) :
& UTM
UTM &UTM 5 UTM
+ Ce-
Rt
R
ii. The series are connected with inductance 350 henry, and the resistance
HTM
UTM UTM 5 UTM
is 18 ohms. Find I(t) if the initial current I(0) = 0. Calculate the
current I(t) at time t = 1 minute.
TM
ŏ UTM
* UTM
Transcribed Image Text:b) Given an RL circuit with the equation 5 UTM 6 UTM where L is the inductance, R is the resistance UTM UTM + RI = 900, dI L U i. Show that the solution of the above equation is Source. &UTM UTM UTM UTM 6 UTM 900 I(t) : & UTM UTM &UTM 5 UTM + Ce- Rt R ii. The series are connected with inductance 350 henry, and the resistance HTM UTM UTM 5 UTM is 18 ohms. Find I(t) if the initial current I(0) = 0. Calculate the current I(t) at time t = 1 minute. TM ŏ UTM * UTM
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