The mesh method can be applied to circuits with any number of loops.
The branch current method is based on Kirchhoff's voltage law and Kirchhoff's current law.
When assigning branch currents, you need not be concerned with the direction you choose.
The first row of a certain determinant has the numbers 3 andThe second row has the numbers 7 andThe value of this determinant is
The first row of a certain determinant has the numbersandThe second row has the numbers 3 andThe value of this determinant is
The expansion method for evaluating determinants is
The branch current method uses
The expansion method for evaluating determinants is
In assigning the direction of branch currents,
Find branch current IR2.

Find I1.
4I1 + 4I2 = 2Find I2.
4I1 + 4I2 = 2Find I2.
4I1 + 4I2 = 2Find I1.
4I1 + 4I2 = 2The expansion method for evaluating determinants is
Find I1.
4I1 + 4I2 = 2Using the mesh current method, find the branch current, IR1, in the above figure.

Find I2.
4I1 + 4I2 = 2Find I2.
4I1 + 4I2 = 2