2–53 Use circuit reduction to find vx, ix, and px in Figure P2–53. 1.5 ΚΩ 5 ΚΩ Μ Μ Px 24 V + 2xΩΣΑ 1ΩΣ ΙΩ - FIGURE P2-53 +

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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2.53
EXAMPLE 2-6
Given us=5V, 02-3 V, and 04-10 V in the circuit shown in Figure 2-13, find ay
and ps.
SOLUTION:
Inserting the given numerical values into Eq. (2-10) yields the following KVL equa-
tion for loop 1:
-D: +12-23=(-5)+(-3) + (03) 0
The sign outside the parentheses comes from the loop 1 KVL constraint in Eq. (2-10).
The sign inside comes from the actual polarity of the voltage. This equation yields
= -8 V. Using this value in the loop 2 KVL constraint in Eq. (2-10) produces
-U3+14-05=-(+8) + (+10)+1=0
The result is us=-2 V. The minus sign here means that the actual polarity of us is the
opposite of the assigned reference polarity indicated in Figure 2-13. The results can
be checked by substituting all the aforementioned values into the loop 3 KVI. con-
straint in Eq. (2-10). These substitutions yield
-(+5) + (-3)+(-10)-(-2)=0
2.53
2-53 Use circuit reduction to find vx, ix, and px in Figure P2-53.
24 V
+
5 ΚΩ
W
1.5 ΚΩ
2 ks ix 1ko 1k0
FIGURE P2-53
1+
Transcribed Image Text:2.53 EXAMPLE 2-6 Given us=5V, 02-3 V, and 04-10 V in the circuit shown in Figure 2-13, find ay and ps. SOLUTION: Inserting the given numerical values into Eq. (2-10) yields the following KVL equa- tion for loop 1: -D: +12-23=(-5)+(-3) + (03) 0 The sign outside the parentheses comes from the loop 1 KVL constraint in Eq. (2-10). The sign inside comes from the actual polarity of the voltage. This equation yields = -8 V. Using this value in the loop 2 KVL constraint in Eq. (2-10) produces -U3+14-05=-(+8) + (+10)+1=0 The result is us=-2 V. The minus sign here means that the actual polarity of us is the opposite of the assigned reference polarity indicated in Figure 2-13. The results can be checked by substituting all the aforementioned values into the loop 3 KVI. con- straint in Eq. (2-10). These substitutions yield -(+5) + (-3)+(-10)-(-2)=0 2.53 2-53 Use circuit reduction to find vx, ix, and px in Figure P2-53. 24 V + 5 ΚΩ W 1.5 ΚΩ 2 ks ix 1ko 1k0 FIGURE P2-53 1+
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