What is the effect of increasing the current in a wire on the magnetic field around it?
Increasing the current increases the strength of the magnetic field.
What is the effect of reversing the direction of current in a wire?
Reversing the current direction reverses the direction of the magnetic field.
What happens to the magnetic force on a wire if the wire is parallel to the magnetic field?
The magnetic force on the wire is zero.
What happens to the magnetic force on a wire if the wire is perpendicular to the magnetic field?
The magnetic force on the wire is maximum.
What causes a current-carrying wire to experience a force in a magnetic field?
The interaction between the magnetic field created by the current in the wire and the external magnetic field.
How do you determine the direction of the magnetic field around a wire?
Use the Right-Hand Rule: Point your thumb in the direction of the current; your fingers curl in the direction of the magnetic field.
How do you determine the direction of the magnetic force on a current-carrying wire?
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.
Outline the steps to calculate the magnetic field using the Biot-Savart Law.
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.
Define Biot-Savart Law.
The Biot-Savart Law calculates the magnetic field generated by a small segment of current-carrying wire: $$d vec{B}=\frac{\mu_{0}}{4 \pi} \frac{I(d\vec{\ell} \times \hat{r})}{r^{2}}$$.
What is \(\mu_0\) in the Biot-Savart Law?
\(\mu_0\) is the permeability of free space, a constant.
Define magnetic field.
A region around a magnet or current-carrying wire where a magnetic force is exerted.
What is \(d\vec{\ell}\) in the Biot-Savart Law?
\(d\vec{\ell}\) is a small length vector of the wire.
What is \(\hat{r}\) in the Biot-Savart Law?
\(\hat{r}\) is the unit vector from the wire segment to the point where the field is calculated.
Define magnetic force.
The force exerted on a current-carrying wire or moving charge in a magnetic field.
