3a What is the magnitude of magnetic force on particle a b W

3.a What is the magnitude of magnetic force on particle a? b. What is the magnitude of the magnetic force on particle b? c. What is the magnitude of the magnetic force on a particle c?

Solution

Magnetic force, Fm = q ( v x B)    { cross product }

Fm =q |v| |B| sin@

where @ is the angle between v and B.

3. for (a)

q = 14.05 uC = 14.05 x 10^-6 C

v = 500 m/s

B = 0.250 T

@ = 30 deg

Fm = (14.05 x 10^-6) (500) (0.250) (sin30) = 8.78 x 10^-4 N

4. for (b)

q = 14.05 uC = 14.05 x 10^-6 C

v = 500 m/s

B = 0.250 T

@ = 90 deg

Fm = (14.05 x 10^-6) (500) (0.250) (sin90) = 1.756 x 10^-3 N

5.

q = 14.05 uC = 14.05 x 10^-6 C

v = 500 m/s

B = 0.250 T

@ = 150 deg

Fm = (14.05 x 10^-6) (500) (0.250) (sin150) = 8.78 x 10^-4 N