You are given several identical resistances each of value $R = 10\,\Omega $ and each capable of carrying maximum current of $1\, ampere$. It is required to make a suitable combination of these resistances to produce a resistance of $5\,\Omega $ which can carry a current of $4\, amperes$. The minimum number of resistances of the type $R$ that will be required for this job
A$4$
B$10$
C$8$
D$20$
AIPMT 1990, Medium
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C$8$
c Suppose n resistors are used for the required job. Suppose equivalent resistance of the combination is $R$' and according to energy conservation it's current rating is $i'.$
Energy consumed by the combination $= n×$ (Energy consumed by each resistance)
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