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

Question

Quizplus · Accepted Answer

To solve for $n$, we start with the given equation $I = \frac { n E } { n r + R }$ and rearrange it to isolate $n$. Multiply both sides by $nr + R$ to get rid of the denominator, resulting in $I(nr + R) = nE$. Expanding the left side gives $Inr + IR = nE$. Rearranging to isolate terms with $n$ on one side, we get $Inr = nE - IR$. Factoring out $n$ from the left side gives $n(Ir) = nE - IR$, and finally, solving for $n$ by isolating it yields $n = \frac { I R } { E - I r }$.

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

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