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A particle with a charge of 2.10×10 8 C is moving with an instantaneous velocity

ID: 1356046 • Letter: A

Question

A particle with a charge of 2.10×108 C is moving with an instantaneous velocity of magnitude 40.5 km/s in the xy -plane at an angle of 53.0 ocounterclockwise from the +x axis.

What is the direction of the force exerted on this particle by a magnetic field with magnitude 2.00 T in the -x direction?

-y

-z

-x

+y

+z

+x

What is the magnitude of the force exerted on this particle by a magnetic field with magnitude 2.00 T in the -x direction?

F1=

What is the direction of the force exerted on this particle by a magnetic field with magnitude 2.00 T in the +z direction?

Please, enter your answer as a counterclockwise angle from the +y direction to the direction of the force.

o=

What is the magnitude of the force exerted on this particle by a magnetic field with magnitude 2.00 T in the +z direction?

F2=

Explanation / Answer

a) -z

b) when B is towards -x axis

F1 = q*v*B*sin(theta)

= 2.1*10^-8*40.5*10^3*2*sin(180 -53)

= 1.36*10^-3 N

c) when B is towards +z axis

F2 = q*v*B*sin(theta)

= 2.1*10^-8*40.5*10^3*2*sin(90)

= 1.7*10^-3 N

direction : 53 degrees with +y axis

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