Relationship between emf and magnetic field strength

In summary, the conversation discusses the relationship between motional emf and magnetic field strength, with one participant initially thinking that the answer to a problem would be A due to the direct relationship between the two. However, further clarification is provided that Faraday's law of induction states that emf is related to the rate of change of magnetic flux, and therefore, it would be more appropriate to say that emf is related to the rate of change of B.
  • #1
mingee kim
2
0

Homework Statement


See image below.

Homework Equations


motional emf = induced voltage = B L v

The Attempt at a Solution


I thought the answer would be A since there's a direct relationship between EMF and magnetic field strength. The answer is D.
 

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  • #2
Welcome to PF!

You do not have any motional emf in this problem since the coil is not moving (v = 0).

Try using the most general form of Faraday's law of induction.
 
  • #3
TSny said:
Welcome to PF!

You do not have any motional emf in this problem since the coil is not moving (v = 0).

Try using the most general form of Faraday's law of induction.
Doesn't Faraday's law of induction say the same thing? that emf is related to the rate change of magnetic flux? and magnetic flux = BA cos theta

so the emf is related to the magnetic field strength?
 
  • #4
mingee kim said:
Doesn't Faraday's law of induction say the same thing?
I'm not sure what you mean by the "same thing" here.

that emf is related to the rate change of magnetic flux? and magnetic flux = BA cos theta
Yes, good.

so the emf is related to the magnetic field strength?
Would it be more appropriate to say that emf is related to the rate of change of B?
 
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Likes mingee kim
  • #5
mingee kim said:
Doesn't Faraday's law of induction say the same thing? that emf is related to the rate change of magnetic flux? and magnetic flux = BA cos theta

so the emf is related to the magnetic field strength?
TSny said:
ropriate to say that emf is related to the rate of change of B?
Ahh, it makes sense now. Thank you!
 

1. What is an emf?

An electromotive force (emf) is a measure of the electrical energy produced by a source, such as a battery or generator, and is typically measured in volts (V).

2. How is emf related to magnetic field strength?

Emf and magnetic field strength are related through Faraday's law of induction, which states that a changing magnetic field can induce an emf in a conductor. The magnitude of the induced emf is directly proportional to the rate of change of the magnetic field.

3. Can emf be induced without a magnetic field?

No, emf can only be induced by a changing magnetic field. A constant magnetic field will not induce an emf in a conductor.

4. How does the direction of the magnetic field affect the induced emf?

The direction of the magnetic field affects the direction of the induced emf according to Lenz's law, which states that the induced emf will always oppose the change in magnetic flux that caused it. This means that the direction of the induced emf will be opposite to the direction of the change in the magnetic field.

5. What is the unit of measurement for magnetic field strength?

The unit of measurement for magnetic field strength is tesla (T), named after inventor and scientist Nikola Tesla. Another commonly used unit is gauss (G), with 1 T = 10,000 G.

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