Question

Show how you would connect three resistors of 2 Ω, 3 Ω and 6 Ω resistance so that
the combination has a resistance of 1 Ω.

Answer 1

To get the equivalent resistance as 1 ohm, we connect all the three resistors in Parallel combination of resistors

This can be explained as:-

R1 = 2ohm

R2 = 3ohm

R3 = 6ohm

Now

1/Rp = 1/R1 + 1/R2 + 1/R3

1/Rp = 1/2+1/3+1/6

1/Rp = 6/6

1/Rp = 1

So,

Rp(equivalent resistance) = 1ohm

Cheers!

Answer 2

Answer:

connect all them in parallel 1/Rp = 1/r1+

1/r2 + 1/r2 = 1/2 + 1/3 + 1/6

take lcm and get 6/6 = 1 ohm