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

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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?

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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.

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See Also This Related BrainMass Solution

Motion of charged particle in uniform electric & magnetic fields

In this question we will consider the motion of a charged particle in uniform electric and magnetic fields that are perpendicular. You may ignore the effects of gravity throughout this question.

(a)(i) Consider a charged particle of mass m and charge q that is moving in a uniform electric field E = Ee_y and a perpendicular uniform magnetic field B = Be_z. Show that the equations of motion for the particle are:
(see the attached file for the equations)

(ii) If the particle is at rest at time t = 0, verify that the velocity components (see the attached file for the equations) satisfy the differential equations given in part (i) and the initial conditions.

(iii) Hence determine the position of the particle at time t, assuming that it was located at the origin at t = 0.

b) An infinite metal plate occupies the xz-plane (y=0). The plate is kept at zero potential, V=0 (see Figure 2). Photoelectrons are liberated from the plate at y=0 by ultraviolet radiation. The initial velocity of the photoelectrons is negligible. A uniform magnetic field B is maintained parallel to the plate in the positive z-direction and a uniform electric field E is maintained perpendicular to the plate in a negative y-direction. (Neither field is shown in Figure 2). The electric field is produced by a second infinite plate parallel to the first plate, maintained at a constant positive voltage V_0 with respect to the first plate. The separation of the plates is d.

Using the results of part (a), show that the electrons will fail to reach the second plate if (see the attached file for the equation) where -e and m are the charge and mass of an electron.

I am having difficulty with my maths and not arriving at all equations of motion/mass particularly mass in part a and I do not know what to chose at time t=0.

I am trying to use the Lorenz force.

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