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Lorentz force is considered one of the most asked concept.
46 Questions around this concept.
A particle of charge -16 x 10-18 coulomb moving with velocity 10 ms-1 along the -axis enters a region where a magnetic field of induction B is along the
-axis, and an electric field of magnitude 104 V/m is along the negative
-axis. If the charged particle continues moving along the
-axis, the magnitude of B is
A charged particle with charge enters a region of constant, uniform, and mutually orthogonal fields
with a velocity
perpendicular to both
and comes out without any change in magnitude or direction
. Then
In a certain region static electric and magnetic fields exist. The magnetic field is given by
If a test charge moving with a velocity
experiences no force in that region, then the electric field in the region, in SI units, is :
In a certain region of space, electric field and magnetic field
are perpendicular to each other and an electron enters a region perpendicular to the direction of
and
both and moves undeflected, then the velocity of the electron is
Lorentz force
When the moving charged particle is subjected simultaneously to both electric field and magnetic field
, the moving charged
particle will experience electric and magnetic force
; so the net force on it will be
Which is our lorentz-force equation. Depending on the directions of
and
following situations are possible.
(i) When
and
all the three are collinear : In this situation the magnetic force on it will be zero and only electric force will act
and so .
(ii) The particle will pass through the field following a straight-line path (parallel field) with change in its speed. So in this situation speed, velocity, momentum and kinetic energy all will change without change in direction of motion as shown
(iii) and
are mutually perpendicular : in this situation if
and
are such that
ie.
as shown in figure, the particle will pass through the field with same velocity, without any deviation in path.
And in this situation, as i.e.
.
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