Question

There are n identical resistors each of 1 ohm. What is the minimum no. of resistors required to have an equivalent resistance of 0.67 ohm?​

Answer 1

Answer:

This implies that the total resistance in a series is equal to the sum of the individual resistances. Therefore, for every circuit with N number of resistors connected in series: RN(series)=R1+R2+R3+… +RN.

Answer 2

Answer:

Considering that the resistors are parallely connected,

Equivalent resistance = Resistance/No. of resistors

Or, No.of resistors = Resistance/Equivalent resistance = 1/0.67 = 1.49 ≈ 2

Considering that the resistors are serially connected,

Equivalent resistance = Resistance x No. of resistors

Or, No. of resistors = Equivalent resistance / Resistance = 0.67/1 = 0.67 ≈ 1