Calculating Number of Loops in Coil 2

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In summary, the rate of change of magnetic flux is the same in both coils. Coil 1 has 200 loops and an induced emf of 2.67 V, while coil 2 has an induced emf of 3.78 V. Using the equation E=-N(delta Phi/delta t), we can solve for the change in flux and find that coil 2 has 202.67 turns.
  • #1
buckeyes
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Homework Statement



In each of two coils the rate of change of the magnetic flux in a single loop is the same. The emf induced in coil 1, which has 200 loops, is 2.67 V. The emf induced in coil 2 is 3.78 V. How many loops does coil 2 have?

Homework Equations



E=-N(delta Phi/delta t)

The Attempt at a Solution



i tried setting E+N=E+N because the magnetic flux is the same but that was wrong
 
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  • #2
F=d(phi)/dt for ease of writing and I always use V if I'm not using the little epsilon for emf

So you got V1+N1*F=V2+N2*F

you can't just get rid of F like you did. Note that you're actually given enough information to SOLVE for F directly just using the equation you were given, then use it to find N
 
  • #3
i'm confused what equation do i use to find F? i have no time so how can I use that equation?
 
  • #4
The equation that you just typed in the relevant equations section. For coil 1 you're given N and E, so certainly you can find the change in flux, then just use that same number for coil 2's E to find N
 
  • #5
i got 202.67 for the change in flux of the first coil and .01865 for N of the second coil. that doesn't seem like it is right. is it?
 
  • #6
Nope, for coil 1, you have this equation

E=-N(delta Phi/delta t)

You're given E=2.67, and N=200, so you can solve for dphi/dt, which is going to be 2.67/200, and a pretty small number
 
  • #7
ok then 283.15 turns?
 
Last edited:

Related to Calculating Number of Loops in Coil 2

1. How do you calculate the number of loops in a coil?

The number of loops in a coil can be calculated by dividing the total length of the wire by the width of each loop. This will give you the total number of loops in the coil.

2. What is the significance of calculating the number of loops in a coil?

Calculating the number of loops in a coil is important because it determines the strength and efficiency of the coil. The more loops there are, the stronger the magnetic field will be.

3. Can the number of loops in a coil be changed?

Yes, the number of loops in a coil can be changed by adding or removing loops. This will affect the strength of the magnetic field and the overall performance of the coil.

4. How does the number of loops in a coil affect the inductance?

The number of loops in a coil is directly proportional to the inductance. This means that as the number of loops increases, the inductance also increases, resulting in a stronger magnetic field.

5. Is there a formula for calculating the number of loops in a coil?

Yes, there is a formula for calculating the number of loops in a coil. It is N = L/w, where N is the number of loops, L is the total length of the wire, and w is the width of each loop.

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