Solve the equation for the specified variable.
-$\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } \quad$ for $R _ { 1 }$
A) $R _ { 1 } = \frac { R _ { 2 } } { R _ { 2 } - R }$
B) $R _ { 1 } = \frac { R _ { 2 } - R } { R _ { 2 } }$
C) $R _ { 1 } = \frac { R R _ { 2 } } { R _ { 2 } - R }$
D) $R _ { 1 } = \frac { R } { R _ { 2 } - R }$

Question

Quizplus · Accepted Answer

To solve for $R_1$, first combine the fractions on the right side of the equation by finding a common denominator, which gives $\frac{1}{R} = \frac{R_1 + R_2}{R_1R_2}$. Then, isolate $R_1$ by cross-multiplying and rearranging, leading to $R_1 = \frac{RR_2}{R_2 - R}$.

Solve the Equation for the Specified Variable 1R=1R1+1R2\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } \quadR1​=R1​1​+R2​1​

Solve the Equation for the Specified Variable $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } \quad$