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ELECTRICAL ENGINEERING DEPARTMENT California Polytechnic State University EE 251 Equivalent Circuits &amp; Maximum Power Transfer Pre-Lab 4 Voc 3....

Hi,

My friends and I are having some debate as to what the answers to 3 and 4 are. I am unsure if I redrew the circuit correctly to receive Rth. I also am unsure about my solutions for Vth and In. Thanks!

ELECTRICAL ENGINEERING DEPARTMENT
California Polytechnic State University
EE 251
Equivalent Circuits &amp; Maximum Power Transfer
Pre-Lab 4
Voc
3. Determine the Thevenin equivalent circuit (both VTH and RTH) at terminals a-b. For the
Thevenin resistance RTH, find the equivalent resistance &quot;seen&quot; by the load.
All resistances are in ohms 2.
R2
M
40
R4
130
10
RTH
VS-- 10V
R3425
ZRL
RIBy =
RT
+ R4 - 30.97 a
+R3
RTH = 17.45 0
M
RTH =
Rig4 + (17.45.2
OVTH = 10.55V
Mesh :
Ns
R3
VTu
Vs -( Ri)(ia-(b) - Kaltg) zo
calc matrix .
(130 + 85) iq - 130ib= LOV
iq =, 103/6A
ib= .liga A
Mesh a:
~Rzip ~ R4 ib - Ri ( (b-ta)= O
VTH = VRy + VR3
+130iq - (40+10 + 130) ip = 0
VTH = CoRy + iaRa = 5.a7 V
4. For the circuit of Problem 3, determine the Norton equivalent circuit (both IN and RN) at
terminals a-b by connecting a short between terminals a-b and solving for Isc = IN.
RN =RTH = 17.45
Mesh I:
cale matrix :
VS .- Rilla - (b ) - Ra ( iq - to) = O
13 &amp; TVC - IN
(130 +asia - 130ib -aSic = 10V
IN = . 30al AT
in \$ 83
JINGIN : Meha
-R2 ib -Ry(in -ic) -Ri(ib -iq) = 0
- (40 + 10 + 130)(6 4 10te+ 130iq= 6
Mesh 3:
- Ry ( Co-(b) - Ra ( ic - (q) zo
- (10+25)ic + 10Cb+25iq = 0
IN=, 30ZIA 3 RN= 17. 45.
5. The Thevenin resistance RTH can also be calculated using Ohm's law equation below. Use
RTHISC
=
the calculated values of VTH and Isc from Problems 3 and 4 to determine RTH. Does RTH
5.a7aV
.30aIA
=17.45.2
equal the REQ value &quot;seen&quot; by the load?
27
RTH = 17.45_2
yes , RTH equals the Req value vreen

3) we have ﻿ V t h ​ ﻿ = 5.27 V and ﻿ R t h ​ =... View the full answer

( b)
Since circuit is same therefore
RN = Ran =_ 17:45 -2
for IN, we need to replace ab derminal with
short circuit and
and calculate current through it .
yo
IS.
10
130
130
10
[ ) lov
3`
925
104...

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