Use the worked example above to help you solve this problem

Use the worked example above to help you solve this problem. Find I_1, I_2and I_3 in figure a, where epsilon = 11 v. Find the three currents in figure b, where R = 2.7 Ohm. (Note that the direction of one current may have been chosen wrongly!)

Solution

From Kirchoff\'s Junction rule

I₃ = I₁+I₂

I₁+I₂-I₃=0-----------------------------------equation 1

For loop abcda ,Applying Kirchoff\'s loop rule

10-6I₁-2I₃=0

6I₁+2I₃=10----------------------------------equation 2

For loop befcb ,Applying Kirchoff\'s loop rule

-4I₂-11+6I₁-10=0

6I₁-4I₂=21-------------------------------------equation 3

Solving 1,2 and 3 equations we get

I₁=1.864 A

I₂=-2.454 A

I₃=-0.59 A