$15.$ Please answer both a and b$.$ I will UPVOTE. thank you.

The figure shows a long straight wire near a rectangular current loop. The current in the top wire is $I_1$ to the left, and the current in the rectangular loop is $I_2,CCW.$ The top of the loop is a distance $d$ from the wire and the sides of the rectangle are a and $b,$ respectively.

Part $($a$)$

Express the total force the top wire creates on the loop in terms of the quantities in the problem statement, the constant ${}_0,$ and any other required constants.

Part $($b$)$

If the wire comprising the rectangular loop has linear mass density, $,$ what current, $I_1,$ would be required to keep the loop suspended in place below the wire. $($Assume $I_2$ does not change. Express the total force the top wire creates on the loop in terms of the quantities in the problem statement, $,$ and any required constants.

$I_1^{\text{'}}=$

Grade Summary

Deductions