help solving q3

Question

3. make use of kirchhofs laws to calculate the current flowing through RL in the current diagram shown

 

Answer 1

Step 1:

Kirchoff's Voltage Law :

The sum of the potential differences across the components forming a loop will be zero.

Using kirchoffs voltage law :

Loop ABEFA :

                                 (1)

Loop BCDEB :

                              (2)

Step 2:

Solve equation (1) and equation (2).

Multiply equation (1) by 8.

                             (3)

Multiply equation (2) by 15.

                     (4)

Add equation (3) and equation (4).

Substitute in equation (3).

Current through is .

Substitute and in the current through .

Solution :

Current through is A.