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#31280

equations

algebra

hard

90 sec

In a parallel electrical circuit with two resistors, the total resistance $R_{total}$ is given by the formula $\frac{1}{R _{total}} = \frac{1}{R _{1}} + \frac{1}{R _{2}}$ , where $R_{1}$ and $R_{2}$ are the resistances of the individual resistors. Which of the following expresses $R_{1}$ in terms of $R_{total}$ and $R_{2}$ ?

A.

$R_{1} = \frac{R _{total} R _{2}}{R _{total} - R _{2}}$

B.

$R_{1} = \frac{R _{total} R _{2}}{R _{2} - R _{total}}$

C.

$R_{1} = R_{2} - R_{total}$

D.

$R_{1} = R_{total} + R_{2}$