Please explain the questions and give questions and examples using the equations written below the questions.

4. A cathode ray is emitted from a heating element within a vacuum bulb which contains a rarified gas. This allows the observer to see a plasma stream as the electrons fly out of the heating element and run into the gas particles. Around the vacuum bulb are two large coils which produce a magnetic field at the location of the vacuum bulb, approximately in the middle and between the two coils. The electrons are accelerated from heating element by a capacitor charged to 2.5 V which is 1 cm across. Take the coils to be 80 cm in diameter and separated by 50 cm with 20 turns of wire going around each coil. The coils are run at 2.5 A in the Helmholtz configuration. Determine the cyclotron radius of the electrons. (Ans: 5.6 cm) 4 2 B MOT 2 = 0.25 m coils 2 R = 0 . 4 m tot B = 2 ( N ) B coil R N = 20 I= 2. 5 0 .5 cycle motion . Rcups my - Velocity 9 B W= q V = 1mv' Velocitys of 4 V = 29V multiple choice