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#35455

equations

algebra

hard

75 sec

The formula for combining two resistors in parallel is $\frac{1}{R _{T}} = \frac{1}{R _{1}} + \frac{1}{R _{2}}$ , where $R_{T}$ is the total resistance and $R_{1}$ and $R_{2}$ are the individual resistances. Which equation correctly expresses $R_{T}$ in terms of $R_{1}$ and $R_{2}$ ?

A.

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

B.

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

C.

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

D.

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