Question

a.) Suppose that there is a constant magnetic field in the xy-plane with magnitude 0.5 T, and a proton is moving with a speed of 3 × 10^5 m/s at a 45◦ angle relative to the field. What is the magnitude of the acceleration of the proton assuming it only experiences the force due to the magnetic field?

b.) Inside of any microwave, there is a tube called a magnetron in which electrons orbit an approximately constant magnetic field. The electrons in the microwave complete 2.4 billion circular orbits every second, and this causes them to emit microwave radiation having a frequency of 2.4 GHz. What is the strength (magnitude) of the magnetic field inside of the magnetron?

c.) A long, straight wire carrying a 3 A current perpendicular to the xy-plane intersects the x-axis at x = −2 cm. Another straight wire carrying a 3 A current perpendicular to the xy-plane intersects the x-axis at x = 2 cm. At what point(s) along the x-axis is the magnetic field zero if the two currents are in the opposite direction? If there are no such points, write “None” and show your reasoning.

d.) Suppose that a stream of electrons is moving along a straight wire perpendicular to this page, and the stream is moving into the page. We take the page to be in the xy-plane, and we suppose that the wire along which the electrons are moving intersects the page at the origin. A proton is at point (x,y) = (0 cm, 3 cm) and has velocity (vx, vy) = (5×10^4 m/s, 0 m/s). Will the proton’s path curve into the page, out of the page, or will it just keep moving straight with its current velocity? Write either “into,” “out,” or “straight” in the answer box, and explain your reasoning.

Answer 1