Question

5.0. Protons with kinetic enerigy of 50 MeV are moving in the positive x direction and enter a magnetic B (0.5 T)k directed out of the plane of thepage ure extending from - 0 to -1 m as shown in 29.36. (a) Calculate the y compo nent of the protons momentum as they leave the magnetic field at m. (b) Find the angle a between the initial veloc- ity vector of the proton beam and the velocity vec tor after the beam emerges from the feld. (Note that 1 eV-1.60 10-19 J.) 6.0. A long solenoid has n turns per meter and carries a current I-1(1-), with Io-30 A and a 1.6 s-1. Inside the solenoid and coaxial with it is a loop that has a radius R- 6 cm and consists of a total of N turns of fine wire. What emf is induced in the loop by i the changing current? Take n 400 turns/m and N- 250 turns. (See Figure 31.24.) N tu Figu 7.0 (b) 7.0 (a) alyze a series RLC ac circuit for which R- 250 2, -0.6 H, C-3.5 F, -377 s-1, and V,-150 V. Calc circu 8.0, In Fig, 16, R 150,C-4.7 uF, and L-25 mH. The generator provides a sinusoidal voltage of 75 V (rms) and fre- quency y 550 Hz. (a) Calculate the rms current amplitude.

Answer 1

5)

Since, initially magnetic field is perpendicular to velocity, it provides a force in -y direction Initi ally KE50 V010 1.6*10-19 J- 8*101 J m 1.67*10-27 kg v, =-/2mk3-V2*1 67*10-27 *8*10-12-16.34-10-»,n/ s F1.606.34 *10 *0.5 13.07 *10V -39 F, 13.07 10 m 1.67*10- -7.83*1012m/s- Now, using equati on of motion - 2as v2- 2783*1012*1 v.-3.96*10-6m/s mis 1 90