What is current I1 What is current I2 What is current I3 14

What is current I₁?

What is current I2?

What is current I3?

14 V 10 13 4 12V 14 Dr. Birdwell asks that you solve for the currents as shown. If the actual current is in the opposite direction as shown, specify it as a negative current. EXAMPLE

Solution

Let potential at A and C =X

let potential at D=Y

and at B=14 V

(X-14)=I₄x6

0-X=I₂x10

X-Y=12xI₅

Y-12-X=4xI₁

I₄+I₅=I₁+I₂

((X-14)/6)+((X-Y)/12)=((Y-12-X)/4)+(-X/10)

(6X/10)-(Y/3)=-2/3

Y-14=14xI₃

I₃=I₂-I₄

((Y-14)/14)=(-X/10)-((X-14)/6)

(Y/14)+(4X/15)=10/3

(6X/10)-(Y/3)=-2/3

X=1340/166

Y=1372/83

I₁=((Y-12-X)/4)=-0.8855 A

I₂=(-X/10)=-0.8072A

I₃=((Y-14)/14)=0.1807A