A charged particle of mass m= 7.6X10-8 kg, moving with constant velocity in the y-direction enters a region containing a constant magnetic field B 1.9T aligned with the positive z-axis as shown. The particle enters the region at (x,y) = (0.51 m, 0) and leaves the region at (x,y) 0, 0.51 m a time t 508 us after it entered the region. ---- ----- 1) With what speed v did the particle enter the region containing the magnetic field? m/s 2) What is Fx, the x-component of the force on the particle at a time tj = 169.3 us after it entered the region containing the magnetic field. N 3) What is Fy, the y-component of the force on the particle at a time t = 169.3 us after it entered the region containing the magnetic field. N 4) What is q, the charge of the particle? Be sure to include the correct sign. μC 5) If the velocity of the incident charged particle were doubled, how would B have to change (keeping all other parameters constant) to keep the trajectory of the particle the same? a. Increase B by a factor of 2 b. Increase B by less than a factor of 2 c. Decrease B by less than a factor of 2 d. Decrease B by a factor of 2 e. There is no change that can be made to B to keep the trajectory the same.
A charged particle of mass m= 7.6X10-8 kg, moving with constant velocity in the y-direction enters a region containing a constant magnetic field B 1.9T aligned with the positive z-axis as shown. The particle enters the region at (x,y) = (0.51 m, 0) and leaves the region at (x,y) 0, 0.51 m a time t 508 us after it entered the region. ---- ----- 1) With what speed v did the particle enter the region containing the magnetic field? m/s 2) What is Fx, the x-component of the force on the particle at a time tj = 169.3 us after it entered the region containing the magnetic field. N 3) What is Fy, the y-component of the force on the particle at a time t = 169.3 us after it entered the region containing the magnetic field. N 4) What is q, the charge of the particle? Be sure to include the correct sign. μC 5) If the velocity of the incident charged particle were doubled, how would B have to change (keeping all other parameters constant) to keep the trajectory of the particle the same? a. Increase B by a factor of 2 b. Increase B by less than a factor of 2 c. Decrease B by less than a factor of 2 d. Decrease B by a factor of 2 e. There is no change that can be made to B to keep the trajectory the same.
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Transcribed Image Text:A charged particle of mass m= 7.6X10-8 kg, moving with constant velocity in
the y-direction enters a region containing a constant magnetic field B = 1.9T
aligned with the positive z-axis as shown. The particle enters the region at
(x,y) = (0.51 m, 0) and leaves the region at (x,y)= 0, 0.51 m a time t= 508 us
after it entered the region.
1) With what speed v did the particle enter the region containing the magnetic field?
m/s
2) What is Fy, the x-component of the force on the particle at a time t = 169.3 µs after it entered the region
containing the magnetic field.
3) What is Fv, the y-component of the force on the particle at a time t
= 169.3 µs after it entered the region
containing the magnetic field.
N
4) What is q, the charge of the particle? Be sure to include the correct sign.
μC
5) If the velocity of the incident charged particle were doubled, how would B have to change (keeping all other
parameters constant) to keep the trajectory of the particle the same?
a. Increase B by a factor of 2
b. Increase B by less than a factor of 2
c. Decrease B by less than a factor of 2
d. Decrease B by a factor of 2
e. There is no change that can be made to B to keep the trajectory the same.
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