How do you solve for n in $I = (nE)/(nr+R)$ ?

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Answer 1 · 2016-04-27T22:33:52

$n = (RI)/(E-rI)$

Given:

$I = (nE)/(nr+R)$

Transpose and multiply both sides by $(nr+R)$ to get:

$nE = (nr+R)I = nrI+RI$

Transpose and subtract $nrI$ from both sides to get:

$RI = nE - nrI = n(E-rI)$

Transpose and divide both sides by $(E-rI)$ to get:

$n = (RI)/(E-rI)$

How do you solve for n in I = (nE)/(nr+R) I = (nE)/(nr+R)?