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Electrical power

You are given several identical resistances each of value R = 10Ω 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 5Ω  which can carry a current of 4 amperes. The minimum number of resistances of the type  R that will be required for this job


Suppose n resistors are used for the required job. Suppose equivalent resistance of the combination is R' and according to energy conservation its current rating is  i'.
Energy consumed by the combination = n x (Energy consumed by each resistance)

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