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#35439

equations

algebra

hard

90 sec

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

A.

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

B.

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

C.

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

D.

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