4. Simplify the following relationships using the given resistance and voltage v

Question

4. Simplify the following relationships using the given resistance and voltage values. You do not have to solve these equations. You simply need to put them in a form where you can enterthe appropriate terms in a simultaneous equation solving program or calculator. You are thus solving two equations(with two unknown variables, I1 & I2 -See Lab theory section.) You will need equations with the forms AI1+BI2=C and DI1+ EI2=F. Show all work. E1-I1R1-I1R2+ I2R2- I1R3= 0 ; -E2-I2R4-I2R5- I2R2+ I1R2= 0 R1=10 ohms; R2=12 ohms; R3= 15 ohms; R4=18 ohms; R5=22 ohms E1=1.51V and E2= 1.52V

Explanation / Answer

E1 - i1*R1 -i1*R2 +i2*R2 -i1*R3 = 0

1.51 - i1*10 -i1*12 +i2*12 -i1*15 = 0

1.51 = i1*37 -i2*12 -----(1)

-E2 -i2*R4 -i2*R5 -i2*R2 +i1*R2 = 0

-1.52 -i2*18 -i2*22 -i2*12 +i1*12 = 0

1.52 = i1*12 -i2*52 ------(2)

solving 1 and 2

i1 = 0.0338665 A

i2 = -0.021416 A

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