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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:

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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