Use Kirchhoff's rules to solve for i1 (in a)in the circuit shown above where i = 15.0 A,V = 14.0 V,and R = 6.00 $\varOmega$.Note that this drawing represents a subset of a full circuit.
A)13.6
B)15.3
C)17.3
D)19.6
E)22.1

Question

Use Kirchhoff's rules to solve for i1 (in a)in the circuit shown above where i = 15.0 A,V = 14.0 V,and R = 6.00 $\varOmega$.Note that this drawing represents a subset of a full circuit. 
A)13.6 
B)15.3 
C)17.3 
D)19.6 
E)22.1

Quizplus · Accepted Answer

Using Kirchhoff's Current Law at the node above the 6 ohm resistor, we have:
i1 + i2 = 15 A
Using Kirchhoff's Voltage Law in the left loop, we have:
V - 6i1 - 10i2 = 0
Using Kirchhoff's Voltage Law in the right loop, we have:
-4i2 + 6i1 = 0
Solving these equations simultaneously, we get:
i1 = 17.3 A

Use Kirchhoff's Rules to Solve for I1 (In A)in the Circuit