E=d/dt(NBAcostθ) Magnetic Field Induced by Rotating Wire in Uniform Field

In summary, the average magnetic field induced in a 20 turn wire rotating at a speed of 10 rotations/second, with a surface area of 400cm^2 and a uniform magnetic field of 0.3T, can be calculated using Faraday's Law by finding the change in magnetic flux over time. The answer is 9.6 Volts. However, there may be an error in the calculation if the rotational speed was not included.
  • #1
iDyNaMiKz
1
0

Homework Statement



A 20 turn wire that has a surface of 400cm^2 is rotating around an axe and is at a right angle to a uniform magnetic field of 0.3T. Find the average magnetic field induced if the speed of the rotation is 10 rotations/second.


Homework Equations



Faraday's Law


The Attempt at a Solution



A = 400cm^2 = 0.04m^2
N = 20
B = 0.3T
f = 10Hz



V =(Nxdelta phi)/delta t
B = phi/A
phi = BA = 0.3x0.04 = 0.012wb
V= (20x0.012)/0.1 = 2.4 Volts


Answer = 9.6 V

Can anyone point out where my error is? If there isn't any its possible the answer is wrong.
 
Physics news on Phys.org
  • #2
you did not include the rotational speed

E=d/dt(NBAcostωt)

remember θ=ωt
 

FAQ: E=d/dt(NBAcostθ) Magnetic Field Induced by Rotating Wire in Uniform Field

What is electromagnetism?

Electromagnetism is a branch of physics that deals with the study of the relationship between electricity and magnetism. It is based on the concept that electric currents create magnetic fields and vice versa.

What is the difference between electricity and magnetism?

Electricity is the flow of electrons through a conductor, while magnetism is the force exerted by a magnetic field. The two are closely related, as electricity can create magnetism and vice versa.

How does an electromagnet work?

An electromagnet is created by passing an electric current through a wire wrapped around a core material, such as iron. This creates a magnetic field which can be turned on or off by controlling the flow of electricity.

What is the relationship between electric charge and electromagnetism?

Electric charge is a fundamental property of matter, and it is the basis of electromagnetism. When charges are in motion, they create magnetic fields, and when magnetic fields change, they can induce electric currents.

How is electromagnetism used in everyday life?

Electromagnetism is used in many everyday devices, such as electric motors, generators, and transformers. It also plays a crucial role in communication technology, such as radios, televisions, and cell phones. Electromagnetism is also used in medical imaging, such as MRI machines.

Similar threads

Does a Bent Wire Affect Induction Calculations?
Replies
7
Views
1K
EMF induced in a wire loop rotating in a magnetic field
Replies
4
Views
1K
An "x" from nowhere, mistake by textbook? (induced voltages)
Replies
2
Views
375
Electromagnetic effects and Magnetic Fields Questions
Replies
2
Views
1K
EMF induced in rotating rod inside uniform magnetic field
Replies
6
Views
2K
Why Might a Rotating Ring in a B-field Ignore Certain Torques?
Replies
2
Views
941
Current in circular wire surrounding infinite solenoid in a circuit
Replies
7
Views
685
Wire rotating inside a magnetic field
Replies
8
Views
1K
Calculation of Change in Magnetic Flux Linkage Across a Wire
Replies
2
Views
3K
The strength of induced electric field
Replies
18
Views
2K

Hot Threads

Recent Insights

Back
Top