Electromagnetic Induction

What is the primary cause of magnetic forces on conductors?

A straight wire of length $L$ carries a current $I$ in a uniform magnetic field $B$. If the wire is oriented perpendicular to the magnetic field, what is the magnitude of the magnetic force on the wire?

A non-uniformly distributed current $I(x) = kx$ flows along a wire of length $L$ placed along the x-axis in a uniform magnetic field $\vec{B} = B\hat{z}$. What is the magnitude of the magnetic force on the wire?

A conducting loop is partially immersed in a magnetic field. Which of the following factors does NOT affect the force on the loop?

How does increasing the number of turns in a conductive loop affect the induced current and magnetic force, assuming all other factors remain constant?

What is the effect of increasing the external magnetic field strength on the induced current and force on a conducting loop?

When does maximum induced current and force occur in a loop relative to the magnetic field lines?

A square loop with side length $a = 0.1 \text{ m}$ is placed in a magnetic field $B = 2 \text{ T}$ at an angle of $30^{\circ}$ relative to the field. If the current in the loop is $I = 5 \text{ A}$, what is the magnitude of the magnetic force on the loop?

A conducting loop with mass $m$ is placed in a magnetic field. If the net magnetic force on the loop is $F_B$ and there are no other forces acting on it, what is the acceleration of the loop?

A conducting loop of mass $m$ and resistance $R$ is dropped into a magnetic field $B$. The loop experiences a magnetic force $F_B$ opposing its motion. Given an initial velocity $v_0$, derive an expression for the velocity $v(t)$ of the loop as a function of time, assuming the magnetic force is constant.