Determine a system of first-order differential equations that describes the currents i, (t) and i,(t) in the electrical network shown in the figure below.wwR1EL2R2R3D2 + R,i3 = E+dtdig+ R,i2 +dt| )» = e As shown in the figure below, a small metal bar is placed inside container A, and container A then is placed within a much larger container B.container Bcontainer AmetalbarTĄ (1)TR = constantAs the metal bar cools, the ambient temperature T,(t) of the medium within container A changes according to Newton's law of cooling. As container A cools, the temperature of the medium inside container Bdoes not change significantly and can be considered to be a constant T.. Construct a mathematical model for the temperatures T(t) and T,(t), where T(t) is the temperature of the metal bar inside container A.This model can be solved by using prior knowledge. (Use T for T(t) and T, for T,(t). Assume that the temperature of the metal does not affect the temperature of container A and both k, and k are constants.)dTdtk <0dTk<0=dtFind a solution of the system subject to the initial conditions T(0) = To, T(0) = T,.T(t) =

Note :- Both questions are deferent and not inter-linked with each other. So as per guidelines we…

Answered: Determine a system of first-order…

Determine a system of first-order differential equations that describes the currents i, (t) and i,(t) in the electrical network shown in the figure below. R1 L2 E R2 R3 2 + R,!3 = E di

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

Determine a system of first-order differential equations that describes the currents i, (t) and i,(t) in the electrical network shown in the figure below.
ww
R1
E
L2
R2
R3
D2 + R,i3 = E
+
dt
dig
+ R,i2 +
dt
| )» = e

As shown in the figure below, a small metal bar is placed inside container A, and container A then is placed within a much larger container B.
container B
container A
metal
bar
TĄ (1)
TR = constant
As the metal bar cools, the ambient temperature T,(t) of the medium within container A changes according to Newton's law of cooling. As container A cools, the temperature of the medium inside container B
does not change significantly and can be considered to be a constant T.. Construct a mathematical model for the temperatures T(t) and T,(t), where T(t) is the temperature of the metal bar inside container A.
This model can be solved by using prior knowledge. (Use T for T(t) and T, for T,(t). Assume that the temperature of the metal does not affect the temperature of container A and both k, and k are constants.)
dT
dt
k <0
dT
k<0
=
dt
Find a solution of the system subject to the initial conditions T(0) = To, T(0) = T,.
T(t) =

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