A 1.70 T magnetic field points northeast. Find the magnitude of the force on a +

ID: 777154 • Letter: A

Question

A 1.70 T magnetic field points northeast.

Find the magnitude of the force on a +0.40 C charge that is moving 10 m/s toward the north.

Find the direction of the force on a +0.40 C charge that is moving 10 m/s toward the east.

Find the magnitude of the force on a +0.40 C charge that is moving 10 m/s toward the south.

Find the direction of the force on a +0.40 C charge that is moving 10 m/s toward the south.

Find the magnitude of the force on a +0.40 C charge that is moving 10 m/s toward the west.

Find the direction of the force on a +0.40 C charge that is moving 10 m/s toward the west.

Find the magnitude of the force on a +0.40 C charge that is moving 10 m/s toward the southwest.

Given,

B = 1.7 T ; Q = +0.4 C ; v = 10 m/s

We know that the magnetic force on a moving charge is given by:

F = q v B sin(theta)

a)F = q v B sin(theta) = 0.4 x 10 x 1.7 x sin45 = 4.81 N

b)In +Z direction ; or out of page

c)F = 4.81 N

d)In +Z direction ; or out of page

e)F = 4.81 N

f)into the page ; -z direction

g)F = 0.4 x 10 x 1.7 x sin0 = 0 N

F = 0 N

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