The diagram below shows a circuit where; R1=2.0 Ohms, R2=2.0 Ohms, R3=8.0 Ohms,

Question

The diagram below shows a circuit where; R1=2.0 Ohms, R2=2.0 Ohms, R3=8.0 Ohms, V1=18.9 Volts, V2=9.0 Volts, and V3=14.4 Volts. What is the value of I1? In solving this problem, initially pick the current directions as shown. If the actual current turns out to be in the opposite direction, then your answer will be negative, If you get a negative number, enter it as negative.

The diagram below shows a circuit where; R1=2.0 Ohms, R2=2.0 Ohms, R3=8.0 Ohms, V1=18.9 Volts, V2=9.0 Volts, and V3=14.4 Volts. What is the value of I1? In solving this problem, initially pick the current directions as shown. If the actual current turns out to be in the opposite direction, then your answer will be negative, If you get a negative number, enter it as negative.

Explanation / Answer

apply Kirchoff's voltage and current laws:-

V1 - i1*r1 + i2*r2 - v2 = 0

V1 - i1*r1 + i3*r2 - v3 = 0

i1 + i2 + i3 = 0

given that,

R1=2; R2=2; R3=8

V1=18.9; V2=9.0; V3=14.4

solving,

i1 = 2.4

i2 = -2.55

i3 = 0.15

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