What is the induced emf in a coil with changing magnetic field?

Just remember to include the units when writing your final answer, so it would be 22.395 V. Keep up the good work!
  • #1
SavageWarrior
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Homework Statement


A coil is wrapped with 247 turns of wire on the perimeter of a square frame of sides 27.3 cm. Each turn has the same area, equal to that of the frame, and the total resistance of the coil is 2.53. A uniform magnetic field is turnedon perpendicular to the plane of the coil. If the field changes linearly from 0 to 1.11Wb/m2 in a time of 0.822 s, find the magnitude of the induced emf in the coil while the field is changing.
Answer in units of V.​

Homework Equations


flux = B*a*cos(theta)
E = -N (flux/t)

The Attempt at a Solution


flux = (1.11)(745.29)(1/10000) = .074529
E = (247)(.074529)/(.822) = 22.395
Just not sure if it is right or not
 
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  • #2
Welcome to PF :smile:

Looks good!
 

1. What is induced emf in a coil?

Induced emf in a coil is a phenomenon where a changing magnetic field passing through a coil of wire induces an electric current in the coil.

2. 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 the coil. It can be expressed as E = -N(dΦ/dt), where N is the number of turns in the coil and Φ is the magnetic flux.

3. What factors affect induced emf in a coil?

The magnitude of induced emf in a coil is affected by the strength of the magnetic field, the number of turns in the coil, and the rate at which the magnetic field changes. Additionally, the orientation of the coil with respect to the magnetic field can also affect the induced emf.

4. What is the relationship between induced emf and current?

Induced emf and current are directly proportional to each other. This means that an increase in induced emf will result in an increase in current, and vice versa. This relationship is described by Ohm's law, which states that current is equal to induced emf divided by the resistance in the circuit.

5. How is induced emf used in practical applications?

Induced emf is used in a variety of practical applications, such as generators, transformers, and electric motors. It is also used in electromagnetic induction techniques, such as inductively coupled plasma mass spectrometry, to analyze the composition of samples in scientific research and analysis.

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