The Motion of a Charge Particle in a Magnetic and Electric Field

A positive ion with charge 4.8 x 10(-19) C is traveling at a speed of 3 x 10(7) ms(-1) above the earth's atmosphere from East to West along the equator. The earth's magnetic field runs North-South.

1) Draw a sketch showing clearly the direction of motion of the charge, the lines of magnetic force and the direction of the magnetic force on the ion.

2) Calculate the magnetic force if the earth's field is B= 1.2 x 10(-4) T

3) What would be the radius of the particles motion if the magnetic force remained constant ( mass of the ion = 6.7 x 10(-26) kg )

4) What electric field in a particle detector would keep the ion moving in a straight line?

Solution Preview

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A positive ion with charge 4.8 x 10(-19) C is travelling at a speed of 3 x 10(7) ms(-1) above the earth's atmosphere from East to West along the equator. The earth's magnetic field runs North-South.
1) Draw a sketch showing clearly the direction of motion of the charge, the lines of magnetic force and the direction of the magnetic force on the ion.

The direction of the force acting on a moving charge due to magnetic field is given by Fleming's left hand rule.

Left hand rule: If the forefinger, middle finger and ...

Solution Summary

A charge particle moving in Magnetic and electric field, for parts for different quantities are solved.

Full question is attached.
1) In this question we will consider themotion of a charged particle in uniform electricandmagneticfields that are perpendicular. You may ignore the effects of gravity throughout this question.
a)
i) Consider a charged particle of mass m andcharge q which is moving in a uniform electricfield

Themotion of a charged particle in an electromagneticfield can be obtained from the Lorentz equation for the force on a particle in such a field.
If theelectricfield vector is E andthemagneticfield vector is B the force on a particle of mass m that carries charge q and has velocity v is given by:
F = qE +qv X B
1.

Show how an undeflected trajectory for a moving charge is obtained with appropriate crossed E and B fields. Draw seperate diagrams to illustrate your answer for a positive chargeand a negative charge.

A charged particle moves through a velocity selector at a constant speed in a straight line. Theelectricfield of the velocity selector is 3.25 103 N/C, while themagneticfield is 0.360 T. When theelectricfield is turned off, thecharged particle travels on a circular path whose radius is 4.20 cm. Find thecharge-to-mass rat

A positively charged particle of mass 7.28E-8 kg is traveling due east with a speed of 85.7 m/s and enters a 0.290 T uniform magneticfield. Theparticle moves through one-quarter of a circle in a time of 2.08E-3 s, at which time it leaves thefield heading due south. All during themotiontheparticle moves perpendicular to the

A particle of charge 6e enters a region containing a magneticfield with a velocity of 7.5 X 105 m/s that is perpendicular to thefield. There is a force on theparticle of 6.84 X 10-13 N. Find themagneticfield T.

1. In an experiment with cosmic rays, a vertical beam of particle that have charge of magnitude 3e and mass 12 times the proton mass enters a uniform horizontal magneticfield at 0.250 T and is bent in a semicircle of diameter 95.0 cm
a) Find the speed of theparticles andthe sign of their charge.
b) Is it reasonable to ignor

An electron that has velocity v = (2.0 x 106 m/s)i + (3.0 x 106 m/s) j moves through the uniform magneticfield B = (0.030 T)i - (0.15 T)j.
a) Find the force on the electron.
b) Repeat your calculation for a proton having the same velocity.

A particle undergoes uniform circular motion of radius 26.1 μm in a uniform magneticfield. Themagnetic force on theparticle has a magnitude of 1.60 x 10-17 N. What is the kinetic energy of theparticle?