Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

Discuss the motion of a charged particle in uniform magnetic field?
Asked by Topperlearning User | 19 May, 2015, 01:31: PM
answered-by-expert Expert Answer

Consider a particle of mass m and charge q entering a uniform magnetic field O with velocity v, making an angle θ with the direction of magnetic field.   

 

 

 

Resolving  into two rectangular components:

i) v1= vcosθ along the direction of .

ii) v2=vsinθ perpendicular to .

Force acting on the charged particle due to v1

1= q(1 x  )

F1= qvBsin0°      [Because the angle between 1 &  is zero]

Therefore F1= 0.

Thus, the particle covers the linear distance in the direction of magnetic field.

Force acting on the charged particle due to v2

2= q (2 x )

F2= q v2B sin90°

F2= q v2B

F2= q (vsinθ) B       [Since v2= vsinθ]

The direction of this force is perpendicular to 2. So, it cannot change the magnetic magnitude of velocity 2 but changes only the direction of motion. Hence, the charged particle is made to move on the circular path in the magnetic field as shown in the figure. Thus, the force F2 provides the required centripetal force {= (mv22)/r} necessary for motion along the circular path of radius r.

Therefore q v2B= {(mv22)/r}

v2= (Bqr)/m      [as v2=vsinθ ]

The velocity of rotational

 

The frequency of rotation

The time period of revolution

 

Thus, we conclude that under the combined effect of two components velocities, the charged particle in magnetic field will cover linear path as well as circular path i.e. the path will be helical, whose axis is parallel to the direction of the magnetic field.

Answered by | 19 May, 2015, 03:31: PM
CBSE 12-science - Physics
Asked by sulaikhasulu393 | 13 Jun, 2020, 02:24: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Hii
question image
Asked by jain.pradeep | 27 May, 2019, 06:54: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by Topperlearning User | 19 May, 2015, 09:44: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by Topperlearning User | 19 May, 2015, 09:47: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by Topperlearning User | 19 May, 2015, 10:16: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by Topperlearning User | 19 May, 2015, 10:06: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by Topperlearning User | 19 May, 2015, 10:57: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by Topperlearning User | 19 May, 2015, 11:00: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×