For This Module You Will Run A Simulation Of Lorentz Force

Question

For This Module You Will Run A Simulation Of Lorentz Force Exerted On For this module you will run a simulation of Lorentz force exerted on a current carrying conductor located in the magnetic field of a horseshoe magnet. The experiment is set up so that you can change the direction of polarity of the magnet and the direction of the current as well as turn the current on and off. Click on the following link, listed in the Background Materials, to access the simulation. The simulation, developed by W. Fendt (1999), allows users to visualize the effects of magnetic fields on a wire carrying current. In the simulation, the electrical current flows from positive (+) to negative (-). When the current source is activated, the direction of current flow depends on its placement: it enters the screen when the source is on the left and exits when on the right. Users can reverse the current direction by clicking the "reverse current" button. The magnetic force lines flow from the north pole (red) to the south pole (green), and the magnet's orientation can be flipped vertically, enabling the magnetic field to be rotated 180 degrees by clicking the "turn magnet" button. This manipulation impacts the wire’s displacement—either to the left or right—in response to the magnetic field.

Dr. Jack HW Helper · Accepted Answer

The Lorentz force is fundamental in understanding the behavior of charged particles and current-carrying conductors in magnetic fields. The simulation conducted in this exercise provides a vivid illustration of this force by demonstrating how a conductor’s displacement depends on the relative directions of current and magnetic field. The results of the experiment align with the right-hand rule, which predicts the direction of the force exerted on a current element within a magnetic field (Griffiths, 2019). When the current's direction and the magnetic field are aligned in specific ways, the conductor experiences a force perpendicular to both, leading to observable lateral displacement. The experimental results highlight that when the magnetic field is directed from the top to the bottom, and the current flows into the screen from the left, the wire displaces to the left. Conversely, reversing either the magnetic field or the current results in a change in the direction of displacement, which again corresponds with the right-hand rule. This behavior illustrates the vector nature of the Lorentz force, expressed mathematically as $\vec{F} = q \vec{v} \times \vec{B}$, where the force $\vec{F}$ results from the cross product of the velocity $\vec{v}$ of charge carriers and the magnetic field $\vec{B}$ (Serway & Jewett, 2018). Furthermore, the ability to reverse the magnet’s polarity in the simulation emphasizes the dependency of the force’s direction on magnetic field orientation. When the magnet is flipped vertically, the magnetic field orientation is inverted, and accordingly, the direction of force on the conductor reverses as predicted by the right-hand rule. These observations reinforce the concept that the magnitude and direction of the Lorentz force are directly influenced by both the current’s direction and the magnetic field's orientation. The experiment underscores several electromagnetic principles. First, that a current-carrying conductor in a mag

For This Module You Will Run A Simulation Of Lorentz Force

For This Module You Will Run A Simulation Of Lorentz Force Exerted On

Paper For Above instruction

References

For This Module You Will Run A Simulation Of Lorentz Force Exerted On

Paper For Above instruction

References

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