Use both of Kirchhoff\'s Rules to write at least 3 equations that can be solved

Question

Use both of Kirchhoff's Rules to write at least 3 equations that can be solved for the 3 currents. Draw in your assumed currents for each of the resistors.

(2 clockwise and 1 counterclockwise loops have been provided for this circuit. There are 2 branch points for the currents.)

1.) For one of the branch points, write an equation, using Kirchhoff's rule, which describes the currents going into and out of the branch point. (Label the currents into the point as positive and out of the point as negative.)

My guess is use: I2=I1+I3, (delta)VA= V1+V2=R1I1+R2I2 and (delta)VB=V3+V2=R3I3+R2I2

2.) For the three closed loops drawn on the circuit, use the voltage rule to construct three equations involving the potential charges around each loop.

(The dashed-line loops are imaginary paths through the circuit. If you are traversing a portion of the circuit in a direction against the assumed current direction, then the potential difference is positive.)

My guess is use: (delta)Vtotal= +(delta)V1-(delta)V2;(delta)Vtotal= +(delta)V3-(delta)V2; (delta)Vtotal-(delta)V1-(delta)V2+(delta)V3)=0

I have no clue if this is right and my lab partners haven't started it yet please help!

Explanation / Answer

Va=i1r1+i2r2---------------1 Vb=i3r3+i2r2-------------2 Vb-i3r3+i1r1-Va=0--------------3 from above 3 equations u can solve

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