# Calculating Number of Loops in Coil 2

• buckeyes
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.
buckeyes

## 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

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

i'm confused what equation do i use to find F? i have no time so how can I use that equation?

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

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?

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

ok then 283.15 turns?

Last edited:

## 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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