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

Current generated in a conductor due to a changing magnetic field.

A measure of the quantity of magnetism, being the number of magnetic field lines passing through a surface.

$\vec{dl}$ is the infinitesimal displacement vector of the conductor.

A magnetic field originating from a source outside the conducting loop being considered.

Translational: Loop moves in a straight line. Rotational: Loop spins or rotates.

Weak field: Lower induced current. Strong field: Higher induced current.

Magnetic Force: Acts on moving charges. Electric Force: Acts on all charges.

Smaller loop: Smaller induced current. Larger loop: Larger induced current.

Loop parallel to B: Minimal induced current. Loop perpendicular to B: Maximum induced current.

1. Point thumb in current direction. 2. Fingers in magnetic field direction. 3. Palm shows force direction.

1. Calculate the magnetic force. 2. Identify other external forces. 3. Sum all forces to find the net force.

1. Calculate net force. 2. Determine acceleration using $\vec{a} = \frac{\vec{F}_{net}}{m}$. 3. Use kinematics equations.

1. Calculate magnetic flux $\Phi$. 2. Apply Faraday's Law: $\epsilon = -\frac{d\Phi}{dt}$.

1. Determine the current I. 2. Find the magnetic field B. 3. Use $\vec{F}_{B}=\int I(\vec{dl} \times \vec{B})$ to calculate the force.