Science:Math Exam Resources/Courses/MATH152/April 2022/Question B5 (a)/Solution 1

From UBC Wiki

We are given the two loops to which the currents and correspond, and we can use Kirchoff’s voltage law on these loops to determine equations for , , and .

In the left loop:

In the right loop:

And, we also know that if there is a current source in a loop, the loop current must equal the current source, so we have .

Rearranging gives us