Determining the magnitude of the magnetic field acting on a particle

AI Thread Summary
The discussion focuses on calculating the magnetic force acting on a positively charged particle and determining its charge. The particle, with a mass of 7.2 X 10^-8 kg, travels at 85 m/s in a 0.31T magnetic field, moving perpendicular to it. The user initially miscalculated the time as 2.2 X 10^3 seconds instead of the correct 2.2 X 10^-3 seconds. The calculated radius of the particle's circular path is 0.119m, leading to a magnetic force of 4.37 X 10^-3 N and a charge of 1.66 X 10^-4 C. The accuracy of these calculations is confirmed with the corrected time.
expatiated
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1. *Is my solution correct?
Homework Statement

A positively charged particle of mass 7.2 X 10^-8 kg is traveling due east with a speed of 85 m/s and enters a 0.31T uniform magnetic field. The particle moves through one-quarter of a circle in 2.2 X 10^3 seconds, at which time it leaves the field heading of south. All during the motion the particle moves perpendicular to the magnetic field. a) What is the magnitude of the magnetic force acting of the particle, b) Determine the charge of the particle.


Homework Equations


speed = distance/time
r = mv/qB


The Attempt at a Solution


a) velocity = distance/time
= ∏r/2t
therefore r = v2t/∏
=0.119m

F= mv^2/r
= 4.37 X 10^-3

b) F = qvB
q = F/vB
= 1.66 X 10^-4C
 
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expatiated said:
1. *Is my solution correct?
Homework Statement

A positively charged particle of mass 7.2 X 10^-8 kg is traveling due east with a speed of 85 m/s and enters a 0.31T uniform magnetic field. The particle moves through one-quarter of a circle in 2.2 X 10^3 seconds, at which time it leaves the field heading of south. All during the motion the particle moves perpendicular to the magnetic field. a) What is the magnitude of the magnetic force acting of the particle, b) Determine the charge of the particle.

do you mean 2.2*10-3seconds?
 
yes time = 2.2*10^-3 seconds
 
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