Suppose there a uniform magnetic field is horizontal, and it points toward the e

Question

Suppose there a uniform magnetic field is horizontal, and it points toward the east. Negative charge #1 is moving east through this field, and negative charge #2 is moving upward. Is there a magnetic force on these charges, and if so, in which directions? Please select correct answer and explain how you got it

a. Charge #1 has a force to the south, and Charge #2 has no forceCharge

b. #1 has a force to the north, and Charge #2 has no force    

c. Charge #1 has no force, and Charge #2 has a force to the north

d. Charge #1 has no force, and Charge #2 has a force to the south

e. Charge #1 has a force to the west, and Charge #2 has no force

f. Charge #1 has no force, and Charge #2 has a force to the west

g. Charge #1 has a force to the east, and Charge #2 has no force

h Charge #1 has no force, and Charge #2 has a force to the east

Explanation / Answer

Option D is correct

Charge #1 has no force, and Charge #2 has a force to the south.

Explanation: from the formula Magnetic Force = q(v x B)

Angle between the direction of motion(velocity) of charge #1 and magnetic field is zero so cross product of v and B will be zero hence no magnetic force on charge#1.

Angle between the direction of motion(velocity) of charge #2 and magnetic field is 90°. In coordinate system we can say B is along +x direction and v is along +y direction so cross product of v and B will come along -z direction but charge#2 is negative so direction of force will be opposite to that hence force will be along +z direction so it will be towards south.

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