Question

2.) A proton moving initially at speed v-200 m/s enters a region of constant magnetic fickd B 0.4T pointing out of the page as shown in the figure. a) Describe and draw in the figure its subsequent path as it moves i b) Co figure its direction at various points along its path. e) Where would you place a uniformly charged plate in this region so that the proton will maintain a straight path with constant velocity. Compute the required surface charge density for this to occur. n this region. mpute the force on the proton and its acceleration as it moves along this path. Indicate in your

Please solve using algebra only

Answer 1

when a charged partial is placed in external Field. it changes its path to semicircular of radius r. Then we can write mv^2/r = Bqv => mv/Bq = r where m is the mass of particle (non-relativistic), B is the length of magnetic Field. path of particle is semi-circular. Force on particle F = B times q times r F = 0.4 times 1.66 times 10^- 27 times 200 = 1.32 times 10^- 25 Acceleration a = F/m = 1.32 times 10^- 25/1.66 times 10^- 27 = 79.518 m/sec^2