A uniform B-field is is directed along the +z axis. A charged particle is moving in the Field. It takes on a clockwise circular path of decreasing radius in the xy plane. Which of the following must be true?

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Chapter1: Units, Trigonometry. And Vectors
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3.
A uniform B-field is is directed along the +z axis. A charged particle is moving in the
field. It takes on a clockwise circular path of decreasing radius in the xy plane. Which
of the following must be true?
A. The speed is decreasing and the particle is positive
B. The speed is decreasing and the particle is negative
C. The speed is increasing and the particle is positive
D. The speed is increasing and the particle is negative
Transcribed Image Text:3. A uniform B-field is is directed along the +z axis. A charged particle is moving in the field. It takes on a clockwise circular path of decreasing radius in the xy plane. Which of the following must be true? A. The speed is decreasing and the particle is positive B. The speed is decreasing and the particle is negative C. The speed is increasing and the particle is positive D. The speed is increasing and the particle is negative
Expert Solution
Step 1

When any charged particle enters into magnetic field then external magnetic force acts on it called as magnetic force. It can be given as, 

Expression for magnetic force can be given as, 

F = qvB    .... (1) 

Since, charge is tracing a circular path then force acting on it can be given as, 

F = mv²r      .... (2) 

On comparing both equations, 

 

v = qBmr 

This is expression for velocity of charge particle in magnetic field. 

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