Question

determine the value if minimum resistance that can be made using 6 resistors each of 1/4 ohms

Answer 1

6 resistors of the resistance 1.5 ohms cam be used...

Answer 2

Answer: minimum resistance is 0.041 ohms

The equivalent resistance of a series connection is the sum of all the resistances, which comes out to be larger than the individual resistances.

Also, the reciprocal of equivalent resistance of a parallel connection is the sum of the reciprocals of the individual resistances. So. the equivalent resistance comes out to be smaller than the individual resistances.

Therefore, to obtain a minimum resistance of the given number of resistors, they are to be connected in parallel.

1/ R = 4 + 4 + 4 + 4 + 4 + 4

1/R = 24

R = 1/24

R = 0.041 ohms