Two charged particles traverse identical helical paths in a completely opposite sense in a uniform magnetic field .
They have equal -components of momenta
They must have equal charges
They necessarily represent a particle, anti-particle pair
The charge to mass ratio satisfy
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As we know that the uniqueness of helical path is determined by its pitch
Pitch
Where is angle of velocity of charge particle with -axis For the given pitch correspond to charge particle, we have
, If motion is not helical,
As charged particles traverse identical helical paths in a completely opposite direction in a same magnetic field , LHS for two particles should be same and of opposite sign.
Biot-Savart law indicates that the moving electrons (velocity v) produce a magnetic field such that
is perpendicular of
is parallel to
it obeys inverse cube law
it is along the line joining the electron and point of observationt.
By Biot-Savart law
In Biot-Savat's law, magnetic field and due to flow of electron is in opposite direction of and by direction of cross product of two vectors
So, the magnetic field is to the direction of flow of charge.
A current carrying circular loop of radius is placed in the plane with centre at the origin. Half of
the loop with is now bent so that it now lies in the plane.
The magnitude of magnetic moment now diminishes
The magnetic moment does not change
The magnitude of at increases
The magnitude of at is unchanged
An electron is projected with uniform velocity along the axis of a current carrying long solenoid. Which of the following is true?
The electron will be accelerated along the axis
The electron path will be circular about the axis
The electron will experience a force at to the axis and hence execute a helical path
The electron will continue to move with uniform velocity along the axis of the solenoid
Magnetic Lorentz force :
Magnetic Lorentz force electron is projected with uniform velocity along the axis of a current carrying long solenoid as magnetic field and velocity are parallel and electric field is zero due to this magnetic field perpendicular to the direction of motion (V). So it will not affect the velocity of moving charge particle. So the electron will continue to move with uniform velocity along the axis of the solenoid.
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