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#38559

algebra

equations

hard

120 sec

In physics, the equivalent resistance $R_{e q}$ of two resistors $R_{1}$ and $R_{2}$ connected in parallel is given by the formula $\frac{1}{R _{e q}} = \frac{1}{R _{1}} + \frac{1}{R _{2}}$ . Which equation correctly expresses $R_{1}$ in terms of $R_{e q}$ and $R_{2}$ ?

A.

$R_{1} = R_{e q} - R_{2}$

B.

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

C.

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

D.

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