How to find the magnetic flux thru a bent loop with given angle

In summary, a 10cm x 10cm square is bent at a 90 degree angle, with a 0.050T uniform magnetic field pointing downward at a 45 degree angle. The magnetic flux through the loop can be calculated using the equation Magnetic Flux = Aeff * B * cos(theta). Using the given values, the magnetic flux is 3.535e-4 Wb. However, it may be necessary to incorporate a 5cm base and 10cm height to accurately calculate the magnetic flux.
  • #1
dc5itr888
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Homework Statement



A 10cm x 10cm square is bent at a 90 degree angle. A uniform 0.050T magnetic field points downward at 45 degree angle. What is the magnetic flux through the loop?

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Homework Equations



Magnetic Flux= Area of eff *B ( Magnetic Field).
Magnetic Flux= A eff*B*cos(theta).


The Attempt at a Solution



Given:
B ( Magnetic Field) = 0.050 Tesla
Angle of 45 degree of the bent loop
Area = 10cm x 10cm

Magnetic Flux= A eff*B*cos(theta).

(0.10 cm * 0.10 cm) * 0.050 T * cos 45 degree = 3.535 e -4 Wb


Im not sure if that is correct. Although the problem gives us a area of 10cm x 10cm it seems to easy to just treat 10cm x 10cm as as the area of effected?

Do I need to incorporate 5cm for the base and 10 cm for the height?
If I do I have

(.5cm * .10cm)^2 * 0.050 * cos 45 degree = .0025 *0.050 * cos 45 degrees = 8.838e-5

I doubled .5cm * .10cm cause there is a left and right
 
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  • #2
nm I got it
 

FAQ: How to find the magnetic flux thru a bent loop with given angle

What is magnetic flux and how is it related to a bent loop?

Magnetic flux is the measure of the amount of magnetic field passing through a given area. In the case of a bent loop, the magnetic flux is the total magnetic field passing through the loop at a given angle.

How can I determine the magnetic flux through a bent loop?

To determine the magnetic flux through a bent loop, you will need to know the strength of the magnetic field and the area of the loop. You can then use the formula Φ = B*A*cosθ, where Φ is the magnetic flux, B is the magnetic field, A is the area of the loop, and θ is the angle between the magnetic field and the normal to the loop.

Is the magnetic flux constant for a bent loop?

No, the magnetic flux through a bent loop is not constant. It depends on the angle between the magnetic field and the normal to the loop. As the angle changes, the magnetic flux will also change.

Can I change the magnetic flux through a bent loop?

Yes, you can change the magnetic flux through a bent loop by either changing the strength of the magnetic field or changing the angle between the magnetic field and the normal to the loop.

How is the direction of the magnetic flux determined for a bent loop?

The direction of the magnetic flux through a bent loop is determined by the direction of the magnetic field passing through the loop. The magnetic flux will flow from the north pole to the south pole of the magnet.

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