True or False? ( ) A charge with a velocity perpendicular to a uniform B field w

Question

True or False?

( ) A charge with a velocity perpendicular to a uniform B field will move in a circular path in a plane perpendicular to the B field.

( ) A charge with a velocity perpendicular to a uniform B field will experience a magnetic force of F=qvB

( ) For a mass m to maintain a circular motion on an orbit of radius r, the needed centripetal force is mv/r.

( ) For a mass m to maintain a circular motion on an orbit of radius r, the needed centripetal force is mv2/r.

( ) For a circular motion of constant speed, the time to finish one circle is T=2?r/v

( ) For a circular motion of constant speed, the angular velocity is ?=v/r= 2?/?

( ) A charge with a velocity at an angle to a uniform B field will move in a helical path.

Explanation / Answer

1. True, F = qvXB, so force is perpendicular to both B and v.

2.True, F = qvXB = vBsin?, ? = 90, so sin? = 1, F = qvB

3.False, F = mv2/r

4. True, F = mv2/r

5. True, distance = 2?r, speed = v, so T = 2?r/v

6. True, the perpendicular component of velocity helps it move on a circular path will the parallel component propels it forward making the path helical.

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