Magnetic Fields

A positive charge moves perpendicularly into a uniform magnetic field. According to the right-hand rule, what is the direction of the magnetic force on the charge?

A proton with a charge of $1.6 \times 10^{-19}$ C moves at a velocity of $2 \times 10^6$ m/s perpendicularly through a magnetic field of 0.5 T. What is the magnitude of the magnetic force acting on the proton?

An electron is moving in a circular path within a uniform magnetic field. If the magnetic field strength is increased, how does the radius of the electron's path change?

A straight wire carrying a current is placed in a uniform magnetic field. Under what condition is the magnetic force on the wire at its minimum?

A 0.5 m long wire carries a current of 4 A in a uniform magnetic field of 0.2 T. If the angle between the wire and the magnetic field is 30 degrees, what is the magnitude of the magnetic force on the wire?

A rectangular loop of wire with sides of length a and b carries a current I in a uniform magnetic field B. The loop is oriented such that the normal to the loop makes an angle θ with the magnetic field. What is the net force on the loop?

What is the relationship between the current in a long, straight wire and the strength of the magnetic field it produces?

A long, straight wire carries a current of 10 A. What is the magnetic field strength at a distance of 0.2 m from the wire? ($\mu_0 = 4\pi \times 10^{-7}$ T⋅m/A)

Two long, parallel wires carry currents $I_1$ and $I_2$ in the same direction. What is the direction of the force on each wire?

In which of the following situations is Ampère's Law most easily applied to calculate the magnetic field?