I= nE/nr+R , solve for n

Question

asked Dec 15, 2020 5.0k views

1 Answer

Nitin Mesta · Answer 1 · 2020-12-22T07:34:29+0000

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
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:

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