Calculating EMF for Disk of Area 0.003m2 in Perimeter

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In summary, the EMF for a disk can be calculated by multiplying the magnetic field strength (B) by the area of the disk (A) and the angular velocity (ω). The area of the disk is significant in the calculation of EMF as it represents the amount of surface area exposed to the magnetic field. The angular velocity also affects the calculation, as a higher velocity results in a higher EMF. The EMF for a disk cannot be negative, but the direction of the current can change depending on the direction of the magnetic field. Lastly, the material of the disk can affect the EMF calculation due to differences in conductivity.
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nugget
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Homework Statement



S is a disk of Area 0.003m2, B is a magnetic field perpendicular to S and increasing at 0.02 T per second. What is the EMF in the perimeter of S?

Homework Equations



I assume we need a formula relating Area, B and emf - Faraday's law of induction? or possibly phi = BAcos(phi)

The Attempt at a Solution



phi - BxA = .003x.02 = .00006

E = -N(phi)/t

t = 1 second
N = 1
therefore E = -.00006

is this right? what are the units of EMF?
 
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  • #2
You have all the ingredients to put it together. The units of emf are Volts.
 
  • #3


I would like to confirm that you are using the correct formula for calculating EMF using Faraday's law of induction. The formula is E = -NΔΦ/Δt, where N is the number of turns in the coil, ΔΦ is the change in magnetic flux, and Δt is the change in time. In this case, N = 1, ΔΦ = BΔA = (0.02 T)(0.003 m2) = 0.00006 Wb, and Δt = 1 s. Therefore, the EMF would be calculated as E = -(1)(0.00006 Wb)/1 s = -0.00006 V. The units of EMF are volts (V).

Additionally, I would like to point out that the units of magnetic field (B) should be tesla (T), not tesla per second (T/s). Therefore, the correct units for B in this calculation would be T, not T/s.

Overall, your calculation is correct, but it is important to pay attention to units and use the correct formula for calculating EMF.
 

1. How is EMF (electromotive force) calculated for a disk with an area of 0.003m2 and perimeter?

The EMF for a disk can be calculated by multiplying the magnetic field strength (B) by the area of the disk (A) and the angular velocity (ω). The formula is: EMF = B * A * ω. The perimeter of the disk does not affect the calculation of EMF.

2. What is the significance of the area in calculating EMF for a disk?

The area of the disk is an important factor in the calculation of EMF because it represents the amount of surface area that is exposed to the magnetic field. A larger area means a greater number of free electrons moving through the magnetic field, resulting in a higher EMF.

3. How does the angular velocity affect the calculation of EMF for a disk?

The angular velocity, represented by the symbol ω, is a measure of how fast the disk is spinning. A higher angular velocity means the disk is spinning faster, resulting in a higher EMF. This is because the faster the disk is spinning, the more times the free electrons pass through the magnetic field, resulting in a greater induced voltage.

4. Can the EMF for a disk with an area of 0.003m2 and perimeter be negative?

No, the EMF for a disk cannot be negative. EMF is a measure of the potential difference between two points and is always a positive value. If the direction of the induced current is opposite to the direction of the magnetic field, the EMF will have a negative sign, indicating a change in direction.

5. Is the EMF calculation affected by the material of the disk?

Yes, the material of the disk can affect the calculation of EMF. Different materials have different conductivities, which can affect the amount of free electrons present and their ability to move through the magnetic field. This can result in varying values for the EMF calculation.

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