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In summary, the difference between F=qE and F=q(V*B) is that the former represents the electric force on a stationary charged object in an electric field, while the latter represents the magnetic force on a moving charged object in a magnetic field. The latter equation also involves a vector cross product, resulting in a force that is perpendicular to both the velocity and magnetic field vectors.

- #1

XuFyaN

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what is the difference between these two forces ?

F=qE and F=q(V*B)

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- #2

Fightfish

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The former is the expression for the electric force acting on an object of charge q placed in an electric field of field strength E, while the latter is the expression for the magnetic force acting on an object possessing charge q moving with velocity v in the region of a magnetic field with field strength B.

- #3

Bob S

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XuFyaN said:

what is the difference between these two forces ?

F=qE and F=q(V*B)

The first is just a vector relation for a charge in an electric field. The second is the Lorentz force on a

__moving__

charged particle in a magnetic field. The latter equation is a vector cross product, meaning that F is

__perpendicular__

to

__both__

the velocity vector

__and__

the magnetic field vector.

Bob S

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XuFyaN

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thanks alot..tomorrow is my exam and i wanted to study about these forces and their differences :)

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pmacias

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are both equations that describe the force experienced by a charged particle in an electric or magnetic field. However, they represent different types of forces and have different underlying principles.

F=qE represents the force experienced by a charged particle in an electric field. This force is directly proportional to the magnitude of the electric field (E) and the charge of the particle (q). It is also in the same direction as the electric field. This equation is derived from Coulomb's Law, which states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

On the other hand, F=q(V*B) represents the force experienced by a charged particle in a magnetic field. This force is directly proportional to the magnitude of the magnetic field (B), the charge of the particle (q), and the velocity of the particle (V). It is also perpendicular to both the magnetic field and the velocity of the particle. This equation is derived from the Lorentz force law, which states that a charged particle moving in a magnetic field experiences a force perpendicular to both its velocity and the magnetic field.

In summary, the main difference between F=qE and F=q(V*B) is that one represents the force experienced by a charged particle in an electric field, while the other represents the force experienced by a charged particle in a magnetic field. They have different underlying principles and factors that affect their magnitudes and directions.

## Related to Difference between F=qE and F=q(V*B)

## What is the difference between F=qE and F=q(V*B)?

The main difference between these two equations is that F=qE represents the force experienced by a charged particle in an electric field, while F=q(V*B) represents the force experienced by a charged particle in a magnetic field.

## What do the variables in F=qE and F=q(V*B) represent?

In both equations, F represents the force experienced by the charged particle. The variable q represents the charge of the particle, E represents the electric field, and V and B represent the velocity and magnetic field, respectively.

## Can these equations be used interchangeably?

No, these equations cannot be used interchangeably. F=qE is used for calculating the force experienced by a charged particle in an electric field, while F=q(V*B) is used for calculating the force experienced by a charged particle in a magnetic field. The two types of fields have different effects on charged particles and therefore require different equations to calculate the force.

## How are electric and magnetic fields related?

Electric and magnetic fields are closely related as they are both components of the electromagnetic force. A changing electric field can induce a magnetic field, and a changing magnetic field can induce an electric field. This phenomenon is known as electromagnetic induction.

## What are some real-life applications of these equations?

These equations are commonly used in various technologies, such as particle accelerators, MRI machines, and electric motors. They help scientists and engineers understand and manipulate the behavior of charged particles in electric and magnetic fields.

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