Explore BrainMass
Share

# Lorentz Force Law

Lorentz force is the force on a point charge which is caused by the electromagnetic fields. The equation is:

F = q(E + v x B)

where

F is the force experienced

q is the hange

E is the eletric field

v is the velocity

x is the distance

B is the magnetic field.

The Lorentz force was first derived by Oliver Heaviside in 1889.¹ However, there is evidence suggesting that there is an earlier origin by James Clerk Maxwell in 1865.²

A positively charged particle will curve perpendicular to both the velocity vector and the magnetic field according to the right-hand rule. The magnetic force component of the Lorentz force acts as the force that acts on a current-carrying wire in a magnetic field. It is also referred to as the Laplace force.

References:

1. Oliver Heaviside By Paul J. Nahin. p120.

2. Huray, Paul G. (2009). Maxwell's Equations. Wiley-IEEE. p. 22. ISBN 0-470-54276-4.

© BrainMass Inc. brainmass.com September 21, 2019, 7:57 pm ad1c9bdddf

## Categories within Lorentz Force Law

### Calculate the force on each of two current elements, both 1cm long and carrying 10A.

Coordinates below are in meters. I believe w = weber. Calculate the force on each of two current elements, both 1cm long and carrying 10A, if one is at the origin and directed along the x-axis while the other is at x=0.1,y=0.1,z=0.1, in the y-direction. (Answer is 0.192x10^-7 N in the -y and +x directions.) Find dB, due

### Magnetic Field Due to a Current Carrying Conductor

1. A long hollow, cylindrical conductor (inner radius 2.4 mm, outer radius 4.1mm) carries a current of 49 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 36A in the opposite direction. What is the magnitude of the magnetic field (in mT) (a) 1.3mm (b) 2.5mm

### The motion of a charged particle in an electromagnetic field can be obtained from the Lorentz equation for the force on a particle in such a field.

The motion of a charged particle in an electromagnetic field can be obtained from the Lorentz equation for the force on a particle in such a field. If the electric field vector is E and the magnetic field vector is B the force on a particle of mass m that carries charge q and has velocity v is given by: F = qE +qv X B 1.

### Particle moving perpendicular to a constant magnetic field

A particle of mass m and charge q is moving with speed v perpendicular to a constant magnetic field B(vector)=BoZ-hat a) What is the acceleration of the particle? Calculate the x, y and z-component of a as a function of time. You may choose the direction of the x and y-axes for your own convenience. Describe the particle's path

### Finding the equation of motion in a magnetic field

The conductor bridge is giving an initial velocity V0 to the right. The circuit completed by this bridge has an increasing area as the bridge moves to the right which means an increasing magnetic flux. Thus we know from Faraday's law that a current is created in the circuit completed by this bridge proportional to its velocity.