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Using the RHR for force and flipping answer due to negative charge, we get a magnetic force which points to the left. Example \(\PageIndex{3}\) Below are two current carrying wires with unknown magnitudes and currents flowing in the opposite directions.
The most elementary force between magnets is the magnetic dipole–dipole interaction. If all magnetic dipoles for each magnet are known then the net force on both magnets can be determined by summing all the interactions between the dipoles of the first magnet and the dipoles of the second magnet.
Magnetic force, attraction or repulsion that arises between electrically charged particles because of their motion. It is the basic force responsible for such effects as the action of electric motors and the attraction of magnets for iron. Learn more about the magnetic force in this article.
The magnetic force between two moving charges is the effect exerted upon either charge by a magnetic field created by the other. Learn about Magnetic Force on a current-carrying conductor and more.
Magnetic Force Equation. Suppose a charge q is moving with a velocity v in a magnetic field of strength B, the formula for the magnetic force is. →F =q→v X →B F → = q v → X B →. Here, F is represented as a vector, and v x B is the cross product of v and B.
1. The force is perpendicular to both the velocity v of the charge q and the magnetic field B. 2. The magnitude of the force is F = qvB sinθ where θ is the angle < 180 degrees between the velocity and the magnetic field.
The equation \ ( \mathbf {F} = q \cdot \mathbf {E} \) mathematically expresses this relationship, with \ ( \mathbf {F} \) representing the force, \ ( q \) representing the particle's charge, and \ ( \mathbf {E} \) representing the electric field vector. The sign of the particle's charge determines the force's direction.
The magnetic force changes the direction of the velocity, but it does not change the speed or the kinetic energy of the particle. Assume a particle at t = 0 is moving with a velocity v which has a component v perpendicular perpendicular and a component v parallel parallel to the magnetic field.
Mathematically, we can write magnetic force as: F = q[E(r) + v × B(r) This above force is termed as the Lorentz Force. It is the combined electric and magnetic force on a point charge due to the electromagnetic fields. The interaction between these two fields have the following features:
Magnetic Force Equation. The Lorentz force law relates magnetic field to the force felt by a moving charge or current. This law can be expressed as a vector cross product: \bold F=q\bold v \times\bold B F = qv× B. for a charge q moving with velocity v in magnetic field B.