Dec 6, 2023 · The Lorentz Force on the coil is what was calculated during the lab so the negative value calculated resulted in the force being in the negative y-direction. 4. Conclusions This lab required a basic understanding of Lorentz Force, Voltage, Load Cell, Current, and Magnetic Field to calculate the magnetic field around a group of wires with ...

Dec 6, 2023 · The Lorentz force must be the cross product of the current vector and the magnetic field, as expressed in Equation 1, meaning that the magnetic field must be into the screen. Thus, we can produce Figure 4 to display this information, where red is the direction of the current, green is the magnetic field (using the notation that a cross ...

May 20, 2014 · The Lorentz force on the current in a wire does no work. Since energy conservation is a statement about the work done by a force, the concept of conservative force is not relevant to the Lorentz force, except in the trivial sense that 0 = 0.

May 6, 2008 · In that Lorentz Force Law, we essentially have an equation like the rigid body rotation equation [itex]y' = \omega \times y + x_0'[/itex], that resulted from [itex]y = R x + x_0[/itex]. That's a good hint about the antiderivative required for this Lorentz problem, so we have to go backwards from the cross product, and solve for the rotation: [tex]

Sep 18, 2006 · Frankly I do not see the meaning of taking the curl of the lorentz force. Taking the curl applies to vector fields (like the E and B fields). The lorentz force describes the force on a charged particle, it's not a field. Anyhoo, since the curl E = -dB/dt and curl B=uJ+(1/c^2)d(E/dt) they are not conservative in the sense that their curl is zero.

May 24, 2011 · But, if the force on these mobile charges in the direction of deflection is zero, then there must be another force causing the Lorentz deflection. My best explanation is that the Lorentz force magnitude is the sum of the forces on the non-mobile charges (for a metallic wire, the metal cations) caused by the induced electric field.

Jul 27, 2010 · In the laboratory frame, the charge would experience a Lorentz force [tex]F=F_E=qE[/tex]; whereas in any inertial frame the same charge experiences a Lorentz force [tex]F'=qE'+qv\times B'[/tex] and thus it can be seen that [tex]F[/tex] and [tex]F'[/tex] are not identical; leading to the non-invariance of the Lorentz force as already have been ...

Oct 31, 2020 · A good diagram would show 1. the magnetic field lines of the magnets 2. the velocity vectors of the relevant particles in the magnet (perhaps, rather, vectors representing spin?) 3. the force that is felt by the particles in each magnet due to the qv x …

Jul 1, 2009 · However, the discovery of the Lorentz force was before Lorentz's time. In particular, it can be seen at equation (77) in Maxwell's 1861 paper On Physical Lines of Force. Later, Maxwell listed it as equation "D" of his 1864 paper, A Dynamical Theory of the Electromagnetic Field, as one of the eight original Maxwell's equations.

Aug 23, 2008 · IIRC, the Lorentz force law is postulated in addition to Maxwell'e equations. However, Post's "Formal Structure of Electromagnetics" presents a derivation of the Loretz force law, beginning with Minkowski's formulation for the stress te