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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

Current Electricity

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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