CBSE Class 12 Physics 2023 Delhi Set 1 Paper

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Question : 23
Total: 35
(a) Write the expression for the Lorentz force on a particle of charge q moving with a velocity
v
in a magnetic field
B
. When is the magnitude of this force maximum? Show that no work is done by this force on the particle during its motion from a point
r1
to point
r
2
.
OR
(b) A long straight wire AB carries a current I. A particle (mass m and charge q ) moves with a velocity
v
, parallel to the wire, at a distance d from it as shown in the figure. Obtain the expression for the force experienced by the particle and mention its directions.
Expression for Lorentz force:
F
=q(
v
×
B
)

The force is maximum when the angle between
v
and
B
is 90.
Here,
F
is perpendicular to
v
. So, no work is done by this force on the particle during its motion
OR
(b) Magnetic field produced by the current carrying from a point
r1
to point
r2
wire, B=
µ0I
2πd

The direction of field is
Force acting on the particle =q(
v
×
B
)

Here, θ=90
So, Force =qvB=
µ0
2π
qv
d
I

Its direction is towards right. Repulsive.
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