Question

or metk fimor on a moving electric charge, discuss the relationship between t magsitude and direction) and each the following al the mitude of the charge N The sharge velacity d The direction of the magnetic ield Questions cover CLO6: /10 30 mins A beam of protons (Q 1.6x 10" C) moves at 3.0 x 10% m/s through a uniform 2.0 T magnetic field directed along the positive z-axis (Figure 2). The velocity of each proton lies in the xz-plane and is directed at 30 to the +z axis. Find; (a) The force (F) on a proton. (b) The direction of Force (F) Figure 2 Ams)

Answer 1

some basic points-

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1) Magnetic fields exert a force on a moving charge q, the magnitude of which is

F = qvB sin θ,

where θ is the angle between the directions of v and B.

2)

• The direction of the force on a moving charge is given by right hand rule 1 (RHR-1): Point the thumb of the right hand in the direction of v, the fingers in the direction of B, and a perpendicular to the palm points in the direction of F.
• The force is perpendicular to the plane formed by v and B. Since the force is zero if v is parallel to B, charged particles often follow magnetic field lines rather than cross them.