Question

Two resistances X and Y are connected turn by turn : (i) in parallel, and (ii) in series. In which case the resultant resistance will be less than either of the individual resistances?

Answer 1

When two resistors, X and Y are connected in parallel combination, the total resistance will be less than the individual resistance. The total resistance in a parallel arrangement is given by:
$\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}$
where as in a series combination, the total resistance is more than the individual resistances. The total resistance in a series combination is given by:
R = R₁+ R₂