A uniform and constant magnetic field B ẑ. B̅ exists in the ${\rm{̂ z}}$ direction in vacuum. A particle of mass m with a small charge q is introduced into this region with an initial velocity v = x̂vx + ẑvz. Given that B, m, q, vx, and vz are all non-zero, which one of the following describes the eventual trajectory of the particle?

Question

A uniform and constant magnetic field B ẑ. B̅ exists in the ${\rm{̂ z}}$ direction in vacuum. A particle of mass m with a small charge q is introduced into this region with an initial velocity v = x̂vx + ẑvz. Given that B, m, q, vx, and vz are all non-zero, which one of the following describes the eventual trajectory of the particle?

TuteeHUB · Accepted Answer

Circular motion in the xy-plane.

TuteeHUB · Answer

Helical motion in the ẑ direction.

TuteeHUB · Answer

Linear motion in the ẑ direction.

TuteeHUB · Answer

Linear motion in the x̂ direction.

1.	A uniform and constant magnetic field B ẑ. B̅ exists in the \({\rm{̂ z}}\) direction in vacuum. A particle of mass m with a small charge q is introduced into this region with an initial velocity v = x̂vx + ẑvz. Given that B, m, q, vx, and vz are all non-zero, which one of the following describes the eventual trajectory of the particle?
A.	Helical motion in the ẑ direction.
B.	Circular motion in the xy-plane.
C.	Linear motion in the ẑ direction.
D.	Linear motion in the x̂ direction.
Answer» B. Circular motion in the xy-plane.

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