Induced emf is my answer correct ( not sure about b value)

In summary, the problem involves a circular wire loop with a diameter of 6.8cm and an initial magnetic field of +0.39 T changing to a final field of -0.62 T in 160 m/s. Using Faraday's Law, the induced emf can be calculated by finding the rate of change of flux linkage. This can be determined by calculating the flux through the loop and then finding the change in flux per second.
  • #1
pokie_panda
37
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Homework Statement



The magnetic field perpendicular to a circular wire loop 6.8cm in diameter is changed from +0.39 T to -0.62 T in 160 m/s , where + means the field points away from an observer and - toward the observer.

Homework Equations



e=Blv

The Attempt at a Solution



e= 6.8 *10^-2 x 160 x .71/ (the difference) or is it 1.01 the 0.39 - 1.01 = -.62
 
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  • #2
I think you should be using Faraday's Law for this problem. Just keep in mind that they give you an average value for the change of B, but you need the derivative of the flux with respect to time.
 
  • #3
Induced emf = rate of change of flux linkage.
You have been given the flux density,B,. Do you know how to calculate the flux through an area with diameter 6.8cm
Can you then calculate the change in flux per second?
 

FAQ: Induced emf is my answer correct ( not sure about b value)

What is induced emf?

Induced emf, or electromagnetic force, is the voltage that is created in a conductor when it is exposed to a changing magnetic field. It is responsible for creating electric currents and can be used in various technologies such as generators and electric motors.

How is induced emf calculated?

Induced emf can be calculated using Faraday's Law, which states that the induced emf is equal to the rate of change of magnetic flux through a closed circuit. This can be represented by the equation E = -N(dΦ/dt), where E is the induced emf, N is the number of turns in the circuit, and Φ is the magnetic flux.

What factors affect the magnitude of induced emf?

The magnitude of induced emf is affected by the strength of the magnetic field, the velocity of the conductor, and the angle between the magnetic field and the conductor. It also depends on the length and shape of the conductor, as well as the number of turns in the circuit.

How does induced emf differ from self-inductance?

Induced emf and self-inductance are closely related concepts, but there is a slight difference between the two. Induced emf refers to the voltage created in a conductor due to a changing magnetic field, while self-inductance refers to the ability of a circuit to produce its own magnetic field in response to a changing current.

How can induced emf be used in practical applications?

Induced emf has many practical applications, including in generators, electric motors, and transformers. It is also used in wireless charging technology and in electromagnetic induction cooktops. Induced emf is a fundamental principle in many electronic devices and is essential for the functioning of modern technology.

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