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Kirchhoff\'s Laws Lab calculation help... I previously posted this question and

ID: 1441813 • Letter: K

Question

Kirchhoff's Laws Lab calculation help... I previously posted this question and was given a system of equations as the answer. I have the system of equations from my professor and from the previous answerer (thank you!) but I am having trouble solving them. Every time I try to solve them I get answers that are 1=1 or 0=0 which obivously isn't the way to do it.

The values for R1, R2, R3, R4 are

R4= 1.011 M?

Our power supply was set to 8V which I believe is the value of V0 in the equations...

These are the equations given by the professor

eq 1. 8-I2 (66.9 (r2+r3)) -I0 (67.7)=0

eq 2. -I1 (1000)+I2(62)=0

eq 3. I0=I1+I2

R1= 67.7 k? R2=50.8 k? R3=16.10 k?

R4= 1.011 M?

Our power supply was set to 8V which I believe is the value of V0 in the equations...

This is the photo that was part of the previous answer

Explanation / Answer

adding eq-1 and eq-2

Vo = i R1 + i1 R4

8 = i (67700) + i1 (1011000)                     eq-5

from eq-2

i2 (R2 + R3 ) = i1 (R4)

i2 (50800 + 16100) = i1 (1011000)

i2 = 15.11 i1       eq- 6

i = i1 + i2

i = i1 + 15.11 i1

i = 16.11 i1             eq-7

using eq-5 and eq-7

8 = (16.11 i1)(67700) + i1 (1011000)

i1 = 3.81 x 10-6

i = 16.11 i1 = 16.11 x 3.81 x 10-6 = 6.14 x 10-5

i2 = 15.11 i1 = 15.11 x 3.81 x 10-6 = 5.75 x 10-5