How Does a Conducting Loop's Size Affect EMF and Motion on an Inclined Plane?

In summary, the problem involves a small conducting loop with mass m, radius r, and resistance R that is released from rest on a smooth inclined plane. The loop is perpendicular to a magnetic field that varies along the x-axis as B=B'(1+ax), with B' and a as constants. To find the speed of the ring as a function of time, both the motional emf and the emf due to the variable magnetic field must be considered. The motional emf is induced across the inner and outer circumference, but since the thickness of the ring is negligible, it can be neglected. However, if the ring is not small, this assumption cannot be made and a different approach must be used.
  • #1
rutika
2
0
A small conducting loop of mass m,radius r,resistance R is released from rest along a smooth inclined plane such that the plane of the loop is perpendicular to a magnetic field which varies along x-axis as B=B'(1+ax).here B' and a are constants.Find the speed of the ring as a function of time.

My problem is that we have to consider both 1)motional emf and 2)emf due to variable magnetic field.
how do u go about solving it?
 
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  • #2
The motional emf is induced across the inner 7 outer circumference & since the thickness of the ring is neligible, It can be neglected.
 
  • #3
The motional emf is induced across the inner & outer circumference & since the thickness of the ring is neligible, It can be neglected.
 
  • #4
hi.just assume the the ring is not small,i forgot to mention that.what do i do then?
 

Related to How Does a Conducting Loop's Size Affect EMF and Motion on an Inclined Plane?

1. What is electromagnetism and why is it important?

Electromagnetism is the branch of physics that deals with the study of the relationship between electricity and magnetism. It is important because it explains how these two fundamental forces interact with each other and play a crucial role in many natural phenomena, including the functioning of electronic devices.

2. What is the difference between electric and magnetic fields?

An electric field is produced by a stationary electric charge, while a magnetic field is produced by a moving electric charge. Electric fields are responsible for the attraction or repulsion of electric charges, while magnetic fields can influence the motion of electrically charged particles.

3. How is electromagnetism used in everyday life?

Electromagnetism is used in a wide range of applications in our daily lives. Some examples include the generation and transmission of electricity, operation of electronic devices such as computers and cell phones, medical imaging techniques like MRI, and many more.

4. What is the relationship between electricity and magnetism?

Electricity and magnetism are intimately connected and cannot be studied separately. When an electric current flows through a wire, it creates a magnetic field around the wire. Similarly, a changing magnetic field can induce an electric current in a wire. This relationship is described by Maxwell's equations.

5. What are some common problems encountered in electromagnetism?

Some common problems encountered in electromagnetism include calculating the electric and magnetic fields produced by a distribution of charges or currents, analyzing the behavior of electric and magnetic fields in different materials, and understanding the principles behind the functioning of electromagnetic devices and systems.

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