Question

The equivalent resistance of 12 ohm 24 ohm and 8 ohm when connected in parallel is

Answer 1

Given ,

The two resistor of resistance 12 ohm and 24 ohm are connected in parrallel

We know that , the equivalent resistance in parrallel combination is given by

$\boxed{ \tt{ \frac{1}{R} = \frac{1}{ R_{1}} + \frac{1}{ R_{2}} + ... + \frac{1}{ R_{n}} }}$

Thus ,

1/R = 1/12 + 1/24

1/R = (2 + 1)/24

1/R = 3/24

R = 24/3

R = 8 ohm

Therefore , the equivalent resistance is 8 ohm

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Answer 2

Parallel combination:-Always equivalent resistance decrease