Use the Right-Hand Rule: Point your thumb in the direction of the current; your fingers curl in the direction of the magnetic field.

Use the Right-Hand Rule: Point your fingers in the direction of the current, curl them towards the magnetic field, and your thumb points in the direction of the force.

1. Identify the current element $Id\vec{\ell}$. 2. Determine the vector $\hat{r}$ and distance $r$ from the element to the point. 3. Calculate the cross product $d\vec{\ell} \times \hat{r}$. 4. Integrate the Biot-Savart Law over the entire current distribution.

Increasing the current increases the strength of the magnetic field.

Reversing the current direction reverses the direction of the magnetic field.

The magnetic force on the wire is zero.

The magnetic force on the wire is maximum.

The interaction between the magnetic field created by the current in the wire and the external magnetic field.

The Biot-Savart Law calculates the magnetic field generated by a small segment of current-carrying wire: $$d vec{B}=\frac{\mu_{0}}{4 \pi} \frac{I(d\vec{\ell} \times \hat{r})}{r^{2}}$$.

$\mu_0$ is the permeability of free space, a constant.

A region around a magnet or current-carrying wire where a magnetic force is exerted.

$d\vec{\ell}$ is a small length vector of the wire.

$\hat{r}$ is the unit vector from the wire segment to the point where the field is calculated.

The force exerted on a current-carrying wire or moving charge in a magnetic field.