# Lorentz force law equation

by divyashree
Tags: equation, force, lorent, lorentz
 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.
 P: 91 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 =(Ns/Cm)Am Here A is ampere But A=Cs^(-1) Substituting, you get the unit as N which is the unit of LHS
 P: 273 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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