In the following circuit I have already drawn in the symbols and directions for

Question

In the following circuit I have already drawn in the symbols and directions for the currents in each branch. Apply Kirchhoff's node rule at node A to obtain an equation relating the three currents to each other. Starting at point A. apply Kirchhoff's loop rule (in a clockwise direction) to the left loop and write the resulting equation in the space below. Starting at point A. apply Kirchhoff's loop rule (in a clockwise direction) to the right loop and write the resulting equation in the space below. Starting at point A, apply Kirchhoff's loop rule to the outer loop (in a clockwise direction) and write the resulting equation in the space below. Find I_1, l_2. and l_3. This is not hard if your equations above are correct. (Use the back of this sheet if necessary.)

Explanation / Answer

a) I1 = I2 + I3
b) 6 - 6I1 - 3I1 + 3 = 0
I1 = 1 A
c) 6 - 9I3 - 6 = 0
I3 = 0 A
d) 6 - 9I3 - 6I1 - 3I1 + 3 = 0
Put I3 = 0
I1 = 1 A
e) I2 = 1 A

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