A multiloop circuit is shown in the figure.Some circuit quantities are not labeled.It is not necessary to solve the entire circuit.The current I₁ is closest to A)zero. B)+0.2 A. C)+0.4 A. D)-0.2 A. E)-0.4 A.

Question

Quizplus · Accepted Answer

Based on Kirchhoff's Voltage Law, the sum of the voltage drops around any closed loop in a circuit is equal to zero. Applying this to loop AFEBA, we can write: -12 + 4(I) + 4(I_{1S1) + 4(IS1U1C1S1) = 0
Simplifying this equation gives:
I_{1S1 = (3/2)I} - (3/2)IS1U1C1S1
Since I} and IS1U1C1S1 are both zero (due to the direction of the current), we can conclude that I_{1S1 is also zero. Therefore, the closest answer choice is B, +0.2 A.}

A Multiloop Circuit Is Shown in the Figure