Questions  

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

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By Expert Faculty of Sri Chaitanya
a
4
b
10
c
8
d
20
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detailed solution

Correct option is C

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)⇒i'2R′=n×i2R⇒n=i′i2×R′R=412×510=8

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