Induced Voltage created on a loop entering a magnetic field

Then you can use Faraday's law to calculate induced EMF.In summary, the problem involves a loop with dimensions 0.69m x 0.69m moving at a constant velocity of 0.81m/s into a perpendicular magnetic field of 0.21T. To calculate the induced voltage, the number of loops, area, and magnitude of the field are needed, as well as the rate of change of magnetic flux, which can be determined by finding the area swept out per second.
  • #1
allison20
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Homework Statement



A 0.69m long and 0.69m wide loop is moved at a constant velocity of 0.81m/s from a region of zero magentic field into a perpendicular constant magnetic field of 0.21T. Calculate the magnitude of the induced voltage in the loop while it is entering the B-field

Homework Equations


EMF=-N*A*B/T


The Attempt at a Solution


I can plug in the numbers for the number of loops N (1), the area A (LxW), and the magnitude of the field B (.21T), but how do I find the time from just knowing the velocity?
 
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  • #2
welcome to pf!

hi allison20! welcome to pf! :smile:
allison20 said:
EMF=-N*A*B/T

no, it's -∂/∂t (NAB) :wink:

(ie -∂/∂t (magnetic flux) )
 
  • #3
If you know the velocity and dimensions you should be able to calculate area swept out per second and therefore flux change per second
 

1. What is induced voltage on a loop entering a magnetic field?

Induced voltage is the voltage that is created in a loop of wire when it moves through a magnetic field. This is due to the changing magnetic flux through the loop, which creates an electric field and induces a voltage in the loop.

2. How is induced voltage calculated?

The induced voltage in a loop can be calculated using Faraday's law of induction, which states that the induced voltage is equal to the rate of change of magnetic flux through the loop.

3. How does the speed of the loop affect the induced voltage?

The induced voltage is directly proportional to the speed of the loop. This means that the faster the loop moves through the magnetic field, the higher the induced voltage will be.

4. Can the direction of the induced voltage be changed?

Yes, the direction of the induced voltage can be changed by either changing the direction of the magnetic field or by changing the direction of motion of the loop. This is due to the right-hand rule, which states that the direction of the induced voltage is perpendicular to both the magnetic field and the direction of motion.

5. What are some real-world applications of induced voltage?

Induced voltage has many practical applications, such as in generators, transformers, and electric motors. It is also used in electromagnetic induction cooktops and wireless charging technology.

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