Magnetism and Electromagnetism

What is the shape of the magnetic field lines around a long, straight, current-carrying wire?

A long, straight wire carries a current of 4 A. What is the magnitude of the magnetic field at a distance of 2 cm from the wire? (Assume $\mu_0 = 4\pi \times 10^{-7}$ T⋅m/A)

Two long, straight wires carry currents $I_1$ and $I_2$ in the same direction. They are separated by a distance d. At a point midway between the wires, the net magnetic field is zero. What can be concluded about the relationship between $I_1$ and $I_2$?

A straight wire carries a current in the upward direction. According to Right-Hand Rule #1 (RHR1), what is the direction of the magnetic field to the east of the wire?

A circular loop of wire carries a current in a clockwise direction. According to Right-Hand Rule #1 (RHR1), what is the direction of the magnetic field at the center of the loop?

Two identical current loops are placed coaxially a short distance apart. One loop carries a clockwise current, and the other carries a counter-clockwise current. What is the direction of the net magnetic field midway between the loops on the axis?

Under what conditions is the magnetic force on a current-carrying wire in a magnetic field equal to zero?

A straight wire of length 0.2 m carries a current of 3 A in a uniform magnetic field of 0.5 T. The angle between the wire and the magnetic field is 90 degrees. What is the magnitude of the magnetic force on the wire?

A wire segment of length $d\ell$ carries a current I in a non-uniform magnetic field $B(x) = kx$, where k is a constant. The wire segment is oriented perpendicular to the magnetic field. What is the magnitude of the force on this segment?

A wire carries a current from left to right and is placed in a magnetic field pointing into the page. According to Right-Hand Rule #2 (RHR2), what is the direction of the force on the wire?