- #1
asdf12312
- 199
- 1
Homework Statement
Homework Equations
4A = I3 - I2 (supplementary eq.)
Mesh 1:
6(I1)-6(I2)=2A
Mesh 2,3 (supermesh):
6(I2-I1)+6(I2-I4)+12(I3)=0
-6(I1)+12(I2)+12(I3)-6(I4)=0
substitute supp. eq.:
-6(I1)+12(I2)+12(I2+4A)-6(I4)=0
-6(I1)+24(I2)-6(I4)=-48
Mesh 4:
6(I4-I2)=-3A
-6(I2)+6(I4)=-3A
The Attempt at a Solution
|6 -6 0| |I1| = | 2 |
|-6 24 -6| |I2| = |-48|
|0 -6 6| |I4| = | -3|
used cramer's rule (not sure if there was an easier way) and used online matrix calculator http://ncalculators.com/matrix/matrix-determinant-calculator.htm cause i was lazy :(
I2 was all i needed to calculate:
I2 =-1764/432= -4.08A
supp. eq.:
4A+I2=I3
I3= -0.08A
since I(x) is opposite to I3, i got I(x)=0.08A as my answer.