Emf induced in the windings of coil

In summary, the problem involves a tightly wound circular coil with 36.8 turns and a uniform magnetic field that increases from 0 to 0.42T in 0.251 seconds. Using the equation emf = -N(dmagflux/dt), where dmagflux = dBA/dt and A = pi*r^2, the EMF is found to be -1.93V. However, the answer may be rejected if a negative sign is included or if the number of significant figures is incorrect.
  • #1
dmckeog
3
0

Homework Statement


a tightly wound circular coil has 36.8 turns, each of radius .1m. the uniform magnetic field is in a direction perpendicular to the plane of the coil. the field increased linearly from 0 to .42t in a time of .251s.
what is the emf induced in the windings of the coil?


Homework Equations


emf=-N(dmagflux/dt)
dmagflux=dBA/dt
emf=-n*A*dB/dt
A=pi*r^2

The Attempt at a Solution



dB/dt is rate I determined to be .42t/.251s=1.6733tpersec

emf=-36.8*pi*.1m*.1m*1.6733t per sec=-1.934v

 
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  • #2
i really don't know what i have done wrong but the answer is wrong please help
 
  • #3
Your thinking and method are correct. A couple of reasons why your answer might be rejected:
  • They are just looking for the magnitude of the EMF, so no "-" sign is needed
  • Wrong number of significant figures in the answer.
 
  • #4
thanks a lot
 

Related to Emf induced in the windings of coil

What is "Emf induced in the windings of coil"?

"Emf induced in the windings of coil" refers to the electromotive force, or voltage, that is created in the windings of a coil when it is placed in a changing magnetic field. This phenomenon is known as electromagnetic induction.

How is "Emf induced in the windings of coil" calculated?

The magnitude of the induced emf in a coil can be calculated using the formula: Emf = -N(dΦ/dt), where N is the number of turns in the coil and dΦ/dt is the rate of change of magnetic flux through the coil.

What factors affect the magnitude of "Emf induced in the windings of coil"?

The magnitude of the induced emf in a coil is affected by several factors, including the strength of the magnetic field, the number of turns in the coil, the rate of change of the magnetic field, and the resistance of the coil.

How is "Emf induced in the windings of coil" used in practical applications?

The phenomenon of "Emf induced in the windings of coil" is used in many practical applications, such as generators, transformers, and motors. It also plays a crucial role in various technologies, including wireless power transfer and wireless charging.

What are some common sources of "Emf induced in the windings of coil" in daily life?

"Emf induced in the windings of coil" can be found in many everyday objects, including power lines, electric motors, and household appliances. It can also be generated by moving a permanent magnet near a coil or by passing a current through a wire in a magnetic field.

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