1. Determine the force on a semicircular wire with current I in the presence of a field B.
2. An electron with a speed of 3.8 *105 m/s enters a uniform magnetic field of magnitude 0.053 T at an angle of 35° to the magnetic field lines. The electron will follow a helical path. (a) Determine the radius of the helical path. (b) How far forward (parallel to the magnetic field lines) will the electron have moved after completing one circle?
3. A conducting rod of length L slides freely down an inclined plane, as shown in the figure. The plane is inclined at an angle θ from the horizontal. A uniform magnetic field of strength B acts in the positive y-direction. Determine the magnitude and the direction of the current that would have to be passed through the rod to hold it in position on the inclined plane. (Use any variable or symbol stated above along with the following as necessary: g. Indicate your direction based on the side view.)
4. A copper wire with density ρ = 8960 kg/m3 is formed into a circular loop of radius 47.0 cm. The cross-sectional area of the wire is 1.00 *10-5 m2, and a potential difference of 0.020 V is applied to the wire. What is the maximum angular acceleration of the loop when it is placed in a magnetic field of magnitude 0.20 T? The loop rotates about an axis through a diameter. (Use 1.72 *10-8 Ω m for the resistivity of copper.)
5. A semicircular loop of wire of radius R is in the xy-plane, centered about the origin. The wire carries a current, i, counterclockwise around the semicircle, from x = -R to x = +R on the x-axis. A magnetic field, B
, is pointing out of the plane, in the positive z-direction. Calculate the net force on the semicircular loop. (Use the following as necessary: R, i, and B.)