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If two resistors of equal resistance R are connected in [[1]], then equivalent resistance will be equal to $R / 2$ .

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Detailed Solution

If two resistors of equal resistance R are connected in parallel, then equivalent resistance will be equal to

R / 2

.
The equivalent resistance of two resistors connected parallel to each other is given by

\frac{1}{R} = \frac{1}{R_{1}} + \frac{1}{R_{2}}

Therefore, for two equal resistances, the formula will become

\Rightarrow \frac{1}{R_{eq}} = \frac{1}{R} + \frac{1}{R}

\Rightarrow

\frac{1}{R_{eq}} = \frac{2}{R}

\Rightarrow

R_{eq} = \frac{R}{2}

Therefore, if two resistors of equal resistance R are connected in parallel, then equivalent resistance will be equal to

R / 2

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