Question

I= nE/nr+R , solve for n

Answer 1

For this case we have the following equation:

`I = \frac {nE} {nr + R}`

We must clear the variable "n", for them we follow the steps below:

We multiply by
`nr + R` on both sides of the equation:

`I (nr + R) = nE`

We apply distributive property on the left side of the equation:

`Inr + IR = nE`

Subtracting
`nE` from both sides of the equation:

`Inr-nE + IR = 0`

Subtracting IR from both sides of the equation:

`Inr-nE = -IR`

We take common factor n from the left side of the equation:

`n (Ir-E) = - IR`

We divide between Ir-E on both sides of the equation:

`n = - \frac {IR} {Ir-E}`

Answer:

`n = - \frac {IR} {Ir-E}`