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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

Answer»

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

Solution :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.


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