If a positron (same mass as an electron but with a charge of q_e) is moving in t

Question

If a positron (same mass as an electron but with a charge of q_e) is moving in the horizontal plane at speed of 550 kms^-1, what will the radius of the resultant circular path be? Will the positron be moving clockwise or counter-clockwise when viewed from above? How fast would an a particle (_2^4 alpha^2+) need to be traveling to have a path of the same radius as the electron in part(a)? An electron travelling parallel to the ground and due north enters a region of space in which there is uniform magnetic field of 0.5 mu T pointing straight up. The electron is travelling at a speed of 1000 kms^-1. U hat is the magnitude of the magnetic force on the electron (in N)? In which direction is the magnetic force on the electron as it enters the region in which there is a magnetic field? As the electron curves in the magnetic field the direction of the magnetic force on the electron changes. How many seconds (after entering the region in which there is a magnetic field) before the magnetic force on the electron is pointing due south? An electron enters a region in which there is a uniform electric field of 2.25 mu T in the z-direction. The electron moves through the region in a 'corkscrew' pattern as shown in Figure.39.24. The radius of the corkscrew path is 0.15 m while the 'pitch' is 0.05. What is the velocity of the electron?

Explanation / Answer

39.3) mass of electron m = 9.1*10^-31 kg , q =1.6*10^-19 C

B = 0.5 uT, v =1000 km/s

(A) F = qvB = 1.6*10^-19*1000*1000*0.5*10^-6

F =8*10^-20 N

(c) Magnetic force = cnetripetal force

qvB = mv^2/r

qB = mv/r = mw = m*2pi/T

1.6*10^-19*0.5*10^-6 = 9.1*10^-31*2*3.14/T

T =7.14*10^-5 s

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