# What Force Does an Object Experience Inside a Solenoid?

• rmatiass
In summary, the conversation discusses the calculation of force inside a solenoid and the factors that affect it, such as flux density and material permeability. It is mentioned that there is no simple formula for calculating force on an arbitrarily shaped object, and that assuming a cylindrical bar magnet may help in deriving an equation for force. The conversation also raises the question of how to determine the strength of the magnetic field induced on the object.
rmatiass
Force Inside a Solenoind ?

Hello

I'm working on a personal project which involves a solenoid. I'm trying derive an equation for the Force(N) that an object would experience due to the flux density inside the coil.

The flux density can be calculated relatively easily by the fallowing equation.

Given the material permeability what force would this object experience due to the B field created by the solenoid?

Any help would be greatly appreciated...

There is no simple formula for an arbitrarily shaped body. You might could derive an equation for the force if you assume a cylindrical bar magnet is used.

Is there a way to figure out how strong the induce magnetic field will be on the object...?

The force an object of simple permeability mu inside a solenoid producing uniform B will be zero. A force on such an object requires a non-uniform B.

## 1. What is a solenoid?

A solenoid is a coil of wire that is used to create a magnetic field when an electrical current is passed through it.

## 2. What is the force inside a solenoid?

The force inside a solenoid is the force exerted by the magnetic field on a charged particle or object placed inside the solenoid.

## 3. How is the force inside a solenoid calculated?

The force inside a solenoid can be calculated using the equation F = BIL, where B is the strength of the magnetic field, I is the current passing through the solenoid, and L is the length of the solenoid.

## 4. What factors affect the force inside a solenoid?

The force inside a solenoid is affected by the strength of the magnetic field, the current passing through the solenoid, and the length of the solenoid. Additionally, the material and shape of the solenoid can also affect the force.

## 5. How is the force inside a solenoid used in practical applications?

The force inside a solenoid is used in a variety of practical applications, such as in electromagnetic motors and generators, speakers, and magnetic resonance imaging (MRI) machines. It is also used in everyday devices like doorbells and electric locks.

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