1) You are trying to find q/m , the charge-to-mass ratio for a charged particle.
ID: 1777218 • Letter: 1
Question
1) You are trying to find q/m, the charge-to-mass ratio for a charged particle. There is a region of magnetic field magnitude 27.3 T pointing out at you.
- First: the particle passes between charged parallel plates that create an electric field of magnitude 21.8 N/C and perpendicular to B. The particle passes through undeflected.
- Second: the particle emerges from the plates, and B causes the particle to moves in a circle of radius 15.5 cm.
Find the charge-to-mass ratio q/m for this particle, in C/kg.
2) A cylindrical metal wire (length 65.9 m, end diameter 0.873 cm, mass density 3.14 kg/m3) carries current 48.9 A perpendicular the Earth's magnetic field of 6.43 T. Find the ratio FM/Fg, the magnitude of the force due to magnetism divided by the force due to gravity.
Explanation / Answer
during first phase :
E = electric field = 21.8 N/C
B = magnetic field = 27.3 T
v = speed of charge
E = v B
21.8 = 27.3 v
v = 0.8 m/s
Phase 2 :
r = radius = 0.155 m
m = mass
using the formula
r = mv/(qB)
q/m = v/(Br) = (0.8)/(27.3 x 0.155) = 0.19
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