Calculate EMF in a Loop: Faradays Law

In summary, Faraday's Law states that the induced EMF is equal to the negative change in magnetic flux with respect to time. Using this formula, we can calculate the EMF induced in a loop of wire when the magnetic flux increases from zero to 71.1 milliweber in 16.7 milliseconds to be 4.25 millivolts.
  • #1
beetle2
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Homework Statement


C
alculate the emf (in volts) induced in a loop of wire if the magnetic flux in the loop increases from zero to 71.1 milliweber in 16.7 millisec.



Homework Equations



faradays Law

The Attempt at a Solution



The only law I know is faradays law which uses Area. Is there another formula that does not need it?
 
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  • #2
Faraday's Law is the only one that links the induced EMF to the change in Magnetic Flux, why would you want to use anything else?

[tex]\mathcal{E} = -\frac{d\Phi_B}{dt}[/tex]

You're given the change in the magnetic flux (Remember, one Weber is one Tesla * m^2) and the time over which the change occurred in this question.
 
  • #3
So would it just be

71.1mWb / 16.7 ms = 4.25 mV ?
 

1. What is Faraday's Law?

Faraday's Law is a fundamental principle of electromagnetism that describes the relationship between a changing magnetic field and an induced electric field. It states that the magnitude of the induced EMF (electromotive force) in a closed loop is equal to the rate of change of the magnetic flux through the loop.

2. How do you calculate the EMF in a loop using Faraday's Law?

The formula for calculating EMF in a loop using Faraday's Law is: EMF = -N dΦ/dt, where N is the number of turns in the loop and dΦ/dt is the rate of change of the magnetic flux through the loop.

3. What is the unit of measurement for EMF?

The unit of measurement for EMF is volts (V).

4. Can Faraday's Law be applied to any type of loop?

Yes, Faraday's Law can be applied to any type of loop, as long as it is a closed loop and the magnetic flux through the loop is changing.

5. What factors can affect the EMF in a loop?

The EMF in a loop can be affected by factors such as the strength and direction of the magnetic field, the number of turns in the loop, and the rate of change of the magnetic flux through the loop.

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