Question

Calculate the value of the resistance which must be connected to a 15ohm resistance to provide an effective resistance of 6ohm.

Answer 1

It is 10 ohm.....
Since 6 <15 ....So they would be connected in parallel ....
So in a parallel circuit ....
Let second resistance be x..
$\frac{1}{15} + \frac{1}{x} = \frac{1}{6} \\ \frac{1}{x} = \frac{1}{6} - \frac{1}{15} \\ \frac{1}{x} = \frac{5 - 2}{30} \\ \frac{1}{x} = \frac{3}{30} \\ \frac{1}{x} = \frac{1}{10} \\ x = 10$
So answer is 10 ohm....
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