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Lorentz force law equation

by divyashree
Tags: equation, force, lorent, lorentz
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Jan2-14, 11:14 AM
P: 1
How do we say that F=BIL SINΘ using the SI units?
newton(N)= Weber/m2 * ampere*meter.

please explain as soon as possible.
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sharan swarup
Jan2-14, 12:18 PM
P: 98
Use magnetic lorentz force on a charged particle equation. And you can prove

F=BqvsinΘ.(Magnitude only).

so B= F/qvsinΘ
So, the unit of B is N/C(ms^(-1))

multiply s on both numerator and denominator,

so the unit is Ns/Cm

But F = BILsinΘ (Force on current carrying wire)

Unit of RHS is therefore

Here A is ampere But A=Cs^(-1)

Substituting, you get the unit as N which is the unit of LHS
Jan2-14, 01:02 PM
P: 303
A Weber is also energy in joules (stored in field) per ampere. So the amperes and numerator meter cancel and you are left with force (N) = energy (J) / length (m)...which is true since work is force times displacement. You could also break the Joule down into (mass * velocity squared) kg*m^2/s^2. Observe dividing a meter gives you the Newton (mass * acceleration) (kg*m/s^2).

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