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HOW TO FIND COORDINATES OF A HELIX FORMED BY THE DEVIATION OF A PARTICLE IN A MAGNETIC FIELD AT A CERTAIN TIME?

HOW TO FIND COORDINATES OF A HELIX FORMED BY THE DEVIATION OF A PARTICLE IN A MAGNETIC FIELD AT A CERTAIN TIME?

Grade:

1 Answers

Aman Bansal
592 Points
9 years ago

Dear Dhruba,

The force on a current carrying wire is similar to that of a moving charge as expected since a charge carrying wire is a collection of moving charges. A current carrying wire feels a sideways force in the presence of a magnetic field. The Lorentz force on a macroscopic current is often referred to as the Laplace force. Consider a conductor of length l and area of cross section A and has charge q which is due to electric current i .If a conductor is placed in a magnetic field of induction B which makes an angle θ (theta) with the velocity of charges in the conductor which has i current flowing in it. then force exerted due to small particle q is

\mathbf{F} = q \mathbf{v}\sin(\theta),

then for n number of charges it has

N = nlA

then force exerted on the body is

f=\mathbf{F}N=q \mathbf{v}\sin(\theta)(nlA)

but

nqvA = i

that is

f=\mathbf{B}il\sin(\theta)


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