JEE MAIN - Physics (2023 - 10th April Morning Shift - No. 21)
10 resistors each of resistance 10 $$\Omega$$ can be connected in such as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be ___________.
Answer
100
Explanation
When resistors are connected in series, the equivalent resistance is the sum of individual resistances. Therefore, the maximum equivalent resistance will be when all 10 resistors are connected in series, giving a total resistance of 100 $$\Omega$$.
When resistors are connected in parallel, the reciprocal of the equivalent resistance is the sum of the reciprocals of individual resistances. Therefore, the minimum equivalent resistance will be when all 10 resistors are connected in parallel, giving a total resistance of 1 $$\Omega$$.
The ratio of maximum to minimum equivalent resistance is thus $$\frac{100}{1}=100$$.
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