Question

In each of the two coils the rate change of the magnetic flux in a single loop is the same. The emf induced in coil 1 is 1.23 V. The emf inducted in the second coil 2, which has 234 loops, is 4.56 V. How many loops are there in the first coil

Answer 1

The number of loops in first coil is 64

Step-by-step explanation:

Given :

Induced emf in first coil
`\epsilon _(1) =` 1.23 V

Induced emf in second coil
`\epsilon _(2) =` 4.56 V

No. loops in second coil
`N_(2) = 234`

We have to find no. loops in first coil

Apply faraday's law to each coil,

`\epsilon =- N(d\phi)/(dt)`

Now compare above equation,

`(\epsilon _(1) )/(N_(1) ) = (\epsilon _(2) )/(N_(2) )`

So loops in first coil is,

`N_(1) = (\epsilon _(1) N_(2) )/(\epsilon _(2) )`

`N_(1) = (234 * 1.23)/(4.56)`

`N_(1) = 63.11` ≅ 64

Therefore, the number of loops in first coil is 64