Question

how will you connect resistors of 2, 3 and 6 ohms to get 1 ohm?

Answer 1

Solution :-

As we have to connect the resistors of 2 , 3 and 6 ohms in such a way that the equivalent Resistance is 1 ohm .

We will find it with solving cases

Case 1 :- All in series

R equivalent = 2 + 3 + 6

= 11 ohms

As 1 ≠ 11 ohms hence we can't connect them in series.

Case 2 :- All in Parallel

$\implies R_{eq} = \dfrac{1}{2} + \dfrac{1}{3} + \dfrac{1}{6}$

$\implies R_{eq} = \dfrac{ 3 + 2 + 1 }{6}$

$\implies R_{eq} = \dfrac{6}{6}$

$\implies R_{eq} = 1 \: ohm$

So as 1 = 1

Hence we have to connect all resistors in parallel .

Answer 2

all in parallel so we get 1/2+1/3+1/6=6/6

so, 1 ohm