Rate of Magnetic Field Change and current

In summary, the conversation discusses the calculation of the rate of change of a magnetic field necessary to induce a current of 0.39A in a single conducting loop with an area of 7.2×10−2m2 and a resistance of 120 ohms. The equation used is emf = - dΦ/dt, where Φ is the magnetic flux through the loop.
  • #1
ihearyourecho
61
0

Homework Statement



A single conducting loop of wire has an area of 7.2×10−2m2 and a resistance of 120 ohms. Perpendicular to the plane of the loop is a magnetic field of strength 0.50 T.

At what rate must this field change if the induced current in the loop is to be 0.39A?

Homework Equations



emf=(-NdeltaIB)/(deltat)
Rate of change = emf/-N

The Attempt at a Solution



emf=(-NdeltaIB)/(deltat)
Rate of change = emf/-N

It's a single loop, so N should be 1
Rate of change - emf/-1

emf=v=IR

Rate of change = -IR
Rate of change = -(.39A)*120ohms=-46.8

This isn't right though.

Thanks for the help :)
 
Last edited:
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  • #2
anyone? :)
 
  • #3
ihearyourecho said:
emf=(-NdeltaIB)/(deltat)

The correct equation is

emf = - dΦ/dt

where Φ is the magnetic flux through the loop which you need to calculate first.
 
  • #4
Arggh, I've been reading it as magnetic field, not flux. Thanks!
 

What is the relationship between the rate of magnetic field change and current?

The rate of change of a magnetic field is directly proportional to the induced current. This means that the faster the magnetic field changes, the larger the induced current will be.

How does the direction of magnetic field change affect the induced current?

The direction of magnetic field change will determine the direction of the induced current. If the magnetic field changes in one direction, the induced current will flow in the opposite direction.

Does the strength of the magnetic field affect the rate of change and current?

Yes, the strength of the magnetic field does affect the rate of change and current. A stronger magnetic field will cause a larger rate of change and a larger induced current.

What factors can affect the rate of magnetic field change?

The rate of magnetic field change can be affected by the speed of the moving magnetic field, the strength of the magnetic field, and the size of the conductive material.

How is the rate of magnetic field change and current measured?

The rate of magnetic field change and current can be measured using a device called an oscilloscope. This device can measure the changes in magnetic field strength and display the induced current as a graph.

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