Solve the formula for the specified variable.
-$I = \frac { n E } { n r + R } ;$ for $n$
A) $n = \frac { I R } { E - I r }$
B) $n = \operatorname { IR } ( \operatorname { Ir } - \mathrm { E } )$
C) $n = \frac { I R } { I r + E }$
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 $I(n r + R) = nE$. Expanding the left side gives $Inr + IR = nE$. Rearranging to group terms with $n$ on one side gives $Inr = nE - IR$. Factoring out $n$ from the left side gives $n(Ir) = nE - IR$. Finally, solving for $n$ by isolating it on one side, we get $n = \frac { I R } { E - I r }$, which matches choice A.

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

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