# Magnetic flux and force

• EV33
In summary, the direction of the magnetic force on the wire loop is determined by Lenz's Law, which states that the induced current in a closed loop will flow in a direction that opposes the change in magnetic flux through the loop. This means that if the current in the solenoid is increasing, the induced current in the loop will flow in a direction that creates a magnetic field that opposes the increasing field of the solenoid. Similarly, if the current in the solenoid is decreasing, the induced current in the loop will flow in a direction that creates a magnetic field that opposes the decreasing field of the solenoid. This relationship can be seen in the equations for flux and induced emf, where the derivative of flux with respect

## Homework Statement

Is the magnetic force on the wire loop in a direction tha would tend to increase or decrease the change in net flux through he wire loop.(This situation has a solenoid with current running through it right next to it, the current is being turned on and off.)

## Homework Equations

flux=integral of B dot dA
induced emf=-N time the derivative of flux with respect to time

## The Attempt at a Solution

I have my force vectors, and my magnetic moments, and Isee they are in the same direction, and I have found the induced emf, and current, but I don't see the relationship between the magnetic force on the loop and the change in flux. Could someone help point me out in the right direction here.

I feel like the best thing I could do would be to find an equation to plug in for B that is in terms of force but I have no such equation.

Thank you.

## 1. What is magnetic flux?

Magnetic flux is a measure of the total magnetic field passing through a specific area. It is represented by the symbol Φ and is measured in units of webers (Wb).

## 2. How is magnetic flux calculated?

Magnetic flux is calculated by taking the product of the magnetic field strength (B) and the area (A) perpendicular to the magnetic field. Mathematically, it can be expressed as Φ = B x A.

## 3. What is the relationship between magnetic flux and force?

The relationship between magnetic flux and force is described by Faraday's Law of Induction, which states that a changing magnetic flux will induce an electromotive force (EMF) and create an electric field. This electric field can then exert a force on charged particles.

## 4. How does magnetic flux affect the behavior of charged particles?

Charged particles, such as electrons, experience a force when moving through a magnetic field. This force is perpendicular to both the magnetic field and the direction of the particle's motion. The magnitude of the force is determined by the strength of the magnetic field and the velocity of the particle.

## 5. What are some real-world applications of magnetic flux and force?

Magnetic flux and force have many practical applications, including electric generators, motors, and transformers. They are also used in magnetic levitation technology, such as Maglev trains, and in medical imaging devices like MRI machines.