E field induced by changing B field

In summary, the term "E field induced by changing B field" refers to the phenomenon of a changing magnetic field (B) inducing an electric field (E) in nearby conductors or space. This is known as electromagnetic induction and is essential in understanding technologies that use electromagnetic waves. The strength and direction of the induced E field can be controlled by manipulating the rate of change of the B field or by using materials with different electrical conductivities, which is the principle behind devices such as transformers and inductors.
  • #1
Zywo
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Homework Statement


The magnetic field inside a 5.0-cm-diameter solenoid is 2.0 T and decreasing at 4.90 T/s
What is the electric field strength inside the solenoid at point on the axis?

Homework Equations


E=(r/2)*(dB/dt)

The Attempt at a Solution



E=(.025/2)*(4.9)= 0.06125 V/m

Not sure what's wrong here...

Thanks,
David
 
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  • #2
Should be 0 because the distance from the axis is 0.
 
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1. What is meant by "E field induced by changing B field"?

The term refers to the phenomenon where a changing magnetic field (B) can induce an electric field (E) in a nearby conductor or space. This is known as electromagnetic induction and is a fundamental principle in electromagnetism.

2. How does a changing B field create an E field?

When a magnetic field changes, it creates a circulation of electric field lines in the surrounding space. This is due to the fact that a changing magnetic field induces a curling electric field, according to Faraday's law of induction.

3. What are the applications of this concept?

This concept is essential in understanding and developing technologies that use electromagnetic waves, such as radio and television broadcasting, wireless communication, and various medical imaging techniques. It also plays a crucial role in the functioning of electrical generators and motors.

4. How is the strength of the induced E field determined?

The strength of the induced E field depends on the rate of change of the B field, the distance from the source, and the electrical conductivity of the medium. The direction of the E field can be determined using Lenz's law, which states that the induced field opposes the change in the magnetic field that caused it.

5. Can the E field induced by a changing B field be controlled?

Yes, the strength and direction of the induced E field can be controlled by manipulating the rate of change of the B field or by using materials with different electrical conductivities. This is the principle behind devices such as transformers and inductors, which are used to regulate the flow of electricity in circuits.

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