- #1

- 3

- 0

## Homework Statement

An infinitely long line of current $I_1=6[A]$ is following along the positive z-axis in the direction of +$\hat{a_z}$. Another current is following a triangular loop counter clockwise from the points A(0,2,2), B(0,6,2) and C(0,6,6).

## Homework Equations

To start I applied Ampere's Law since an amperian path could be applied to current $I_1$ which results in

$$\vec{H}=\frac{I_1}{2\pi\rho} \hat{a_{\phi}}$$

Applying the force on two conductors formula $$F=\int{I_2 \vec{dl_2}} \times{\vec{B_1}}$$

## The Attempt at a Solution

Where I am stuck is at segment AB, I have determined that the following for this segment $$dl=dy\,\hat{a_y}$$

The problem that I am having is determining the direction of the magnetic field vector, is it it directed in the positive $ \hat{a_z} $ because of how the problem is described or is it another direction all together? The teacher provided a solution but did not outline why they did certain steps.