You have been provided with four 400 ohm resistors each. The number of ways in which these can be combined to have different equivalent resistances is

Question

You have been provided with four 400 ohm resistors each. The number of ways in which these can be combined to have different equivalent resistances is (A) seven different combinations and seven different equivalent resistances (B) eight different combinations and seven different equivalent resistances (C) nine different combinations and eight different equivalent resistances (D) ten different combinations and nine different equivalent resistances

Tardigrade Admin · Accepted Answer

Arrange the resistors in all possible combinations and get the number of combinations as ten with nine different values. The combinations can be all

4

in series, all

4

in parallel,

3

in series with

1

in parallel,

3

in parallel with

1

in series etc. The different combinations and their equivalent resistances are as shown in the figure.

Q. You have been provided with four 400 ohm resistors each. The number of ways in which these can be combined to have different equivalent resistances is

seven different combinations and seven different equivalent resistances

eight different combinations and seven different equivalent resistances

nine different combinations and eight different equivalent resistances

ten different combinations and nine different equivalent resistances