Solve the formula for the specified variable.
-$I = \frac { n E } { n r + R } \quad$ for $n$
A) $n = \frac { I R } { E - I r }$
B) $n = \frac { I R } { I r + E }$
C) $n = \operatorname { IR } ( \operatorname { Ir } - \mathrm { E } )$
D) $n = \frac { - R } { I r - E }$

Question

Quizplus · Accepted Answer

To solve for $n$, we start with the given equation $I = \frac { n E } { n r + R }$. We want to isolate $n$, so we multiply both sides by $n r + R$ to get rid of the denominator, resulting in $I(n r + R) = n E$. Expanding the left side gives $Inr + IR = nE$. Rearranging to group terms with $n$ on one side, we get $Inr = nE - IR$. Factoring $n$ out from the left side, we have $n(Ir) = nE - IR$. To isolate $n$, we divide both sides by $Ir$ and rearrange, leading to $n = \frac { I R } { E - I r }$, which matches choice A.

Solve the Formula for the Specified Variable I=nEnr+RI = \frac { n E } { n r + R } \quadI=nr+RnE​

Solve the Formula for the Specified Variable $I = \frac { n E } { n r + R } \quad$