Question
Asked Oct 1, 2019
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3.40 Find Vi and V in the circuit shown in Figure P340.
FIGURE P3.40
2 kn
R2
V2
4 kn
2000 i
5 V
3 kn
2.5 k
45
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3.40 Find Vi and V in the circuit shown in Figure P340. FIGURE P3.40 2 kn R2 V2 4 kn 2000 i 5 V 3 kn 2.5 k 45

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Expert Answer

Step 1

Consider the given circuit,

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The current in the circuit can be expressed as follows, 5 V-V 2 k2 2000 5-V V2+20005 OV122000ig = 5 ...(1)

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Step 2

Apply Kirchhoff’s Current law at the node V1:

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-5 V V2000 2.5 k = 0 4 k -5 2000- = 0 4000 2500 1 1 +1 -V22000i 2500 5 0 4000 4000 1.00065V1 1.00065V1 +2000i-0.00125 0 ... (2) +2000i, = 0.00125

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Step 3

Apply Kirchhoff’s Current law at ...

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V2-5 V =0 V-2000i-+3 k2. a 2 kΩ V2 V, - 20001, - И + 3000 2-5 a 2000 V2 5 - 2000i -V 3000 2000 2000 1 1 -2000i-0.0025 0 -V1 3000 2000 . (3) -V1.000833V2-2000i= 0.0025

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