1. If a charged particle is moving through a magnetic field with its velocity at

Question

1. If a charged particle is moving through a magnetic field with its velocity at an angle of 45 degrees with respect to the field, what happens to the magnetic force on it if both the speed and magnetic field are doubled?
A. It stays the same.
B. It doubles.
C. It quadruples.
D. It halves.
E. It increases by a factor of 5.66.

2. A 3.0 cm section of a horizontal wire carrying a 6.7 A current from east to west is
place in a north to south 0.42 T magnetic field in the lab. In what direction is the
magnetic force on the 3.0 cm section?
A. north
B. south
C. up
D. down
E. southwest

Explanation / Answer

(1)     Magnetic force on the charged particle is F = Bqv sin     If we double the speed v and the magnetic field B the new magnetic force is                 F' = (2B)(q)(2v)sin                     = 4 F    So the magentic field increases four time the initial value. (2)     Place your right hand fingers in the direction of the velocity v , now curl your fingers towards the direction of B , then your thumb points in the direction of force F.     The direction of magnetic force from the right hand rule is upwards.     

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