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#35039

equations

algebra

hard

90 sec

In electronics, the total resistance $R_{T}$ of two resistors $R_{1}$ and $R_{2}$ connected in parallel is given by the formula $\frac{1}{R _{T}} = \frac{1}{R _{1}} + \frac{1}{R _{2}}$ . Which of the following equations correctly expresses the total resistance $R_{T}$ in terms of $R_{1}$ and $R_{2}$ ?

A.

$R_{T} = \frac{R _{1} R _{2}}{R _{1} + R _{2}}$

B.

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

C.

$R_{T} = \frac{R _{1} + R _{2}}{R _{1} R _{2}}$

D.

$R_{T} = R_{1} R_{2}$