Magnetism: Solving Question on Induced E in Windings of Coil

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In summary, the problem involves a tightly wound circular coil with 81.9 turns and a uniform magnetic field increasing from 0 T to 0.851 T in 0.364 s. The question is what induced emf, measured in units of V, is present in the windings of the coil. The solution involves using the equation emf = -dΦ/dt and finding the rate of change of the magnetic field over time.
  • #1
tayi
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Homework Statement




Given: A tightly wound circular coil has
81.9 turns , each of radius 0.1 m. The uniform
magnetic field is in a direction perpendicular
to the plane of the coil. The field increases
linearly from 0 T to 0.851 T in a time of
0.364 s .
What E is induced in the windings of the
coil?
Answer in units of V.

Homework Equations



emf=Blv
emf(average)=magnetic flux/time


The Attempt at a Solution


I think this can be solved using magnetic flux, but i don't reallly know how to go about doing it
 
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  • #2
tayi said:

Homework Equations



emf=Blv
emf(average)=magnetic flux/time


The Attempt at a Solution


I think this can be solved using magnetic flux, but i don't reallly know how to go about doing it

Start with your equation

emf = -dΦ/dt where Φ=NBA, thus your equation becomes

emf = -d/dt(NBA)

N and A are constant so emf=-NA dB/dt. So how you would get dB/dt which is the rate of change of the magnetic field per unit time.
 

What is magnetism?

Magnetism is a natural phenomenon in which objects exert attractive or repulsive forces on other objects.

What is induction in magnetism?

Induction in magnetism refers to the creation of an electric current or voltage in a conductor when it is exposed to a changing magnetic field.

How is induced electromotive force (EMF) calculated?

Induced EMF is calculated using Faraday's Law, which states that the magnitude of induced EMF is equal to the rate of change of magnetic flux through a circuit.

What is the significance of induced EMF in windings of a coil?

Induced EMF is important in windings of a coil because it is responsible for the generation of electricity in devices such as generators and motors.

How can induced EMF in windings of a coil be increased?

Induced EMF can be increased by increasing the speed at which the magnetic field changes, increasing the number of turns in the coil, or by using a stronger magnetic field.

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