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

see full answer

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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

Watch 3-min video & get full concept clarity