Judge the equivalent resistance when the following are connected in parallel.
(a) `1 Omega and 10^6 Omega`
(b) `1 Omega and 10^8 Omega and 10^6 Omega`.

Options

A. For (a) less than 1 and for (b) greater than 1
B. For (a) greater than 1 and for (b) greater than 1
C. For (a) less than 1 and for (b) less than 1
D. For (a) less than 1 and for (b) greater than 10000

Answer

C

Explanation

(a) The equivalent resistance of two resistances `1 Omega` and `10^(6)Omega` connected in parallel will be less than `1 Omega`. This is because when a number of resistances are connected in parallel, then their equivalent resistance is less than the smallest individual resistance (which is `1 Omega` in this case).
(b) The equivalent resistance of three resistances `1 Omega, 10^(3)Omega` and `10^(6)Omega` connected in parallel will be less than `1 Omega`.