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Particle 1 has a charge of +20.0 microcoulombs, and a mass of 2.40 milligrams. P

ID: 2238325 • Letter: P

Question

Particle 1 has a charge of +20.0 microcoulombs, and a mass of 2.40 milligrams. Particle 1 also has a speed, when it enters region A, of 4.00 m/s. For convenience, the diagram is repeated here.



If region A is a square measuring 60.0 cm on each side (the other regions have the same size as region A, of course), what is the magnitude of the magnetic field in region A? (T)

From the instant particle 1 enters region A for the first time, until it leaves region B, how much time elapses? (s)

If particle 2 has the same mass and the same speed as particle 1, what is the charge on particle 2? (microcoulombs)

Explanation / Answer

force= q*b= mv^2/r

r= mv/q*b

20*10^-3= 2.4*10^-3*4/(20*10^-6)*B

B= 24000 Tesla


Time= distance/speed

= (pi*20+pi*10+pi/2*40)*10^-2/4

= 0.4 sec


for partice 2:

mv^2/r= q*B

2.4*10^-3*16/40*10^-2= q*24000

q= 4 microcoloumb