How Is Magnetic Flux Calculated Through a Square Loop Inside a Solenoid?

In summary, the magnetic flux through a single-turn square loop centered on the axis of a long solenoid with 1280 turns per meter, a diameter of 5.85 cm, and carrying a current of 2.15 A is 1.18x10^-5 when the loop side length is also 5.85 cm. The magnetic field is 0.003458 T and the area used in the calculation is the area of the solenoid.
  • #1
DaveTan
9
0

Homework Statement


A single-turn square loop of side L is centered on the axis of a long solenoid. In addition, the plane of the square loop is perpendicular to the axis of the solenoid. The solenoid has 1280 turns per meter and a diameter of 5.85 cm , and carries a current of 2.15 A .

Find the magnetic flux through the loop when L= 5.85 cm .

Homework Equations


Magnetic Field = 4pi *10^-7 * (Num loops/ length) * current
Magnetic Flux = Magnetic Field * Area * cos(theta)

The Attempt at a Solution


Magnetic Field = 4pi *10^-7 * (1280 loops/ 1.00m) * 2.15A = 0.003458T
Magnetic Flux = B * area = 0.003458 * 0.0585 * 0.0585 = 1.18x10-5

The answer is wrong, I would appreciate any help! Thanks!
 
Physics news on Phys.org
  • #2
DaveTan said:
Magnetic Field = 4pi *10^-7 * (1280 loops/ 1.00m) * 2.15A = 0.003458T
Why are you put the length as ## 1.00m##?
 
  • #3
Daeho Ro said:
Why are you put the length as ## 1.00m##?

Because the question says 1280 turns per meter
 
  • #4
DaveTan said:
Magnetic Flux = B * area = 0.003458 * 0.0585 * 0.0585 = 1.18x10-5
Here the area is maybe the area of solenoid, isn't it?
 
  • #5
You are right! Thanks
 

FAQ: How Is Magnetic Flux Calculated Through a Square Loop Inside a Solenoid?

What is a solenoid and how does it relate to magnetic flux?

A solenoid is a coil of wire that produces a magnetic field when an electric current is passed through it. Magnetic flux is the measure of the strength of this magnetic field.

How is magnetic flux calculated in a solenoid?

Magnetic flux in a solenoid can be calculated by multiplying the number of turns in the coil by the current passing through it and the cross-sectional area of the coil.

What factors affect the magnetic flux in a solenoid?

The magnetic flux in a solenoid is affected by the number of turns in the coil, the current passing through it, and the magnetic permeability of the core material.

What is the relationship between magnetic flux and the strength of a magnetic field in a solenoid?

The strength of the magnetic field in a solenoid is directly proportional to the magnetic flux passing through it.

How can the magnetic flux in a solenoid be increased?

The magnetic flux in a solenoid can be increased by increasing the number of turns in the coil, increasing the current passing through it, or using a core material with a higher magnetic permeability.

Similar threads

Understanding self-inductance in a solenoid.
Replies
3
Views
693
Why Is Magnetic Flux Calculated Using the Solenoid's Area Instead of the Loop's?
Replies
3
Views
2K
EMF induced in a coil encircling an ideal solenoid
Replies
2
Views
2K
Circular loop of wire is concentric with a solenoid
Replies
10
Views
4K
Magnetic Flux Through a Square Loop
Replies
5
Views
8K
Magnetic Flux through conductor coil
Replies
21
Views
2K
Magnetic flux through a rectangular loop inside a wire
Replies
1
Views
3K
Magnetic flux through a loop at two orientations
Replies
5
Views
5K
Flux through loop around solenoid
Replies
4
Views
5K
Magnetization of the core of a long solenoid
Replies
5
Views
1K

Hot Threads

Recent Insights

Back
Top