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Electromagnetism
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Motion Of Charged Particle in Magnetic Field

Particle Motion under O Magntic Field:

(Secondary Information)


= q (

+

)

 

If charge is projected

to the Magnetic Field. The path of the charged particle is purely circular and magnetic force povides necessary centripedal force.



R = Radius of the path.

 

T = Time period of the path.

 

Otherwise particle moves in a helical path:

 

Radius =

 

Time Period =

 

Pitch = V11x T =

 

where

is velocity

to magnetic field V11

is velocity 11 to the magnetic field.



Force on a current carrying wire

:

 

(Secondary Information)

 

As F = q(

x

 

)

 

We can say,


= dq(

 

x

)

 

    

    

   dF = I( x )



Torque on a Current Carrying Loop

:

 

Net force on a closed loop is always zero. But there is always a net torque acting on the loop.

 

Given by


= Magnetic Moment


= Magnetic Field.



Secondary Information

:

 

Let plane of the loop is inclined at an angle 10 -

to magnetic field (

with normal to the plane).

 

 

Trque = Bil(sin

 

)b

 

        = B[l(lb)]sin

        = [µ x B]



Energy

:

 

dV =

d


    = µB(cos

1

- cos

2

)

 

   U = - .B



Dumb Question

:

 

Q1. A rectangular current loop is in an arbitrary orientation is an external magnetic field. Is any work required to rotate the loop about an axis perpendicular to its plane ?

 

Ans: No, no work is required.

 

Q2. two wires are II to each other in an external magnetic field with their in same direction. Will they attract or repet ?

 

Ans: They will attract each other.

 

Q3. A particle enters a external magnetic field

to it like shown in figure.

 

 

In which direction relative to initial air.... will .. leave the field.

 

Ans: It will complete half circle and leave II to initial direction.

     |     

 
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