(b) For the circuit in Figure Q1-2, i. simplify the circuit by finding the Thévenin equivalent network (i.e., drawing the new simplified network and calculating VTH and RTH) connected to resistor RL. apply source transformation to get the Norton equivalent network (i.e., drawing the new simplified network and calculating IN and RN) from (b.i). what is the value of R₂ that will absorb maximum power for the network? What is the maximum power dissipation in RL? ii. iii. 4592 1.7 V 7592 W • Ω 122 20.3 A Figure Q1-2 ww R₁

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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(b) For the circuit in Figure Q1-2,
i.
simplify the circuit by finding the Thévenin equivalent network (i.e., drawing the new
simplified network and calculating VTH and RTH) connected to resistor RL.
apply source transformation to get the Norton equivalent network (i.e., drawing the new
simplified network and calculating IN and RN) from (b.i).
what is the value of R₂ that will absorb maximum power for the network? What is the
maximum power dissipation in Rz?
ii.
iii.
45 92
1.7 V
75 92
M ww
122 S2
Figure Q1-2
0.3 A
ww
R₁
Transcribed Image Text:(b) For the circuit in Figure Q1-2, i. simplify the circuit by finding the Thévenin equivalent network (i.e., drawing the new simplified network and calculating VTH and RTH) connected to resistor RL. apply source transformation to get the Norton equivalent network (i.e., drawing the new simplified network and calculating IN and RN) from (b.i). what is the value of R₂ that will absorb maximum power for the network? What is the maximum power dissipation in Rz? ii. iii. 45 92 1.7 V 75 92 M ww 122 S2 Figure Q1-2 0.3 A ww R₁
Table 1: Laplace Transform Properties
Linearity L {af(t)} = aF(s)
Superposition
Modulation L {e-at f(t)} = F(s + a)
Time-Shifting L{f(t-7)u(t-7)} = e-TF(s)
Scaling L{f(at)} = F(2)
| L { $(10)} = 8
= 8F(s)-f(0)
L{f(t)} = F(s)
L {fi(t) + f₂(t)} = F₁(s) + F₂(s)
Real Differentiation L
Real Integration
Complex Differentiation
L {tf(t)}
-F(s)
ds
Complex Integration {f} = f* F(®)
L
Convolution L {f(t) *g(t)} = F(s). G(s)
Table 2: Common Laplace Transform Pairs
f(t)
F(s)
8(t)
u(t)
tu(t)
e-atu(t)
te-atu(t)
cos(wt)u(t)
sin(wt)u(t)
1
1
s+a
1
(s + a)²
8
8² +w²
8² +w²
Transcribed Image Text:Table 1: Laplace Transform Properties Linearity L {af(t)} = aF(s) Superposition Modulation L {e-at f(t)} = F(s + a) Time-Shifting L{f(t-7)u(t-7)} = e-TF(s) Scaling L{f(at)} = F(2) | L { $(10)} = 8 = 8F(s)-f(0) L{f(t)} = F(s) L {fi(t) + f₂(t)} = F₁(s) + F₂(s) Real Differentiation L Real Integration Complex Differentiation L {tf(t)} -F(s) ds Complex Integration {f} = f* F(®) L Convolution L {f(t) *g(t)} = F(s). G(s) Table 2: Common Laplace Transform Pairs f(t) F(s) 8(t) u(t) tu(t) e-atu(t) te-atu(t) cos(wt)u(t) sin(wt)u(t) 1 1 s+a 1 (s + a)² 8 8² +w² 8² +w²
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