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Resistors in parallel

Two resistors...

Question

Two resistors of resistance $R_{1}$ and $R_{2}$ having $R_{1} > R_{2}$ are connected in parallel. For equivalent resistance R, the correct statement is

R > R_{1} + R_{2}

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R = R_{1}

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R = R_{2}

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R < R_{1}

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Solution

The correct option is B $R < R_{1}$
Equivalent resistance of parallel resistance is always less than any of the number of resistance system.
Equivalent resistance of parallel connection $\frac{1}{R} = \frac{1}{R_{1}} + \frac{1}{R_{2}}$
$⟹$ $R <$ $(R_{1}, R_{2})$

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Write the expressions for the equivalent resistance R of three resistors $R_{1}, R_{2}$ and $R_{3}$ joined in (a) parallel, and (b) series.

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