Question

A particle of charge q, mass m, moving with velocity v 0
​ ( i
^
+ j
^
​ ) enters a region of uniform magnetic field B 0
​ . Find displacement of particle after time t= qB
πm
​ .

Answer 1

Answer:

Lorentz force F=q(  

v

×  

B

)=q(v  

i

^

×B  

k

^

)=−qvB  

j

^

​  

 

The particle move in a circle, the plane of the circle is perpendicular to the direction of magnetic field.

Centripetal force is provided  by the  Lorentz force.

qvB=  

r

mv  

2

 

​  

 

⇒r=  

qB

mv

​  

Explanation:

Answer 2

Please refer to the attachment at the end

Hope it helps