# Calculating Magnetic Flux in a Solenoid-Loop System with Varying Angles

• BuBbLeS01
In summary, the conversation is discussing the calculation of magnetic flux through a loop when it is perpendicular or tilted at an angle relative to a solenoid with a known magnetic field strength. The formula MF = AB cosθ is used, and one participant is struggling with finding the correct solution.

## Homework Statement

A 2.02-cm-diameter solenoid passes through the center of a 8.62-cm-diameter loop. The magnetic field inside the solenoid is 0.75 T.
A.) What is the magnetic flux through the loop when it is perpendicular to the solenoid?
B.) What is the magnetic flux through the loop when it is tilted at a θ=60° angle? (60 degrees from the y-axis)

MF = AB cosθ

## The Attempt at a Solution

A.) wouldn't it just be zero since cos90 = 0? or is it not 90 degrees?
B.) A = (0.0862/2)^2 * pi = 0.00584
0.00584 * 0.75 * cos 60 = 0.002188
and I am getting that wrong as well

can anyone help me with this?

does anyone know how to do this...it's due today and I still am not getting it right...

I'm not certain what your exact setup is. can you ignore the magnetic field on the outside of the solenoid? It won't be equal to 0.75 T there.

## 1. What is magnetic flux?

Magnetic flux is a measure of the strength of a magnetic field passing through a given 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 multiplying the magnetic field strength (B) by the area (A) perpendicular to the magnetic field. The formula for magnetic flux is Φ = B x A.

## 3. What is the difference between magnetic flux and magnetic flux density?

Magnetic flux is a measure of the total magnetic field passing through an area, while magnetic flux density is a measure of the strength of the magnetic field at a specific point. In other words, magnetic flux density is the amount of magnetic flux per unit area.

## 4. How is magnetic flux represented in a graph?

Magnetic flux is typically represented on a graph as the area under a curve of magnetic field strength (B) versus time (t). The area under the curve represents the total magnetic flux passing through the area over time.

## 5. What factors affect magnetic flux?

The amount of magnetic flux passing through an area is affected by the strength of the magnetic field, the angle of the area relative to the magnetic field, and the size of the area. Additionally, the material the magnetic field is passing through can also affect the amount of magnetic flux.