Current Electricity - Result Question 86

91. Two identical batteries each of e.m.f 2V and internal resistance 1Ω are available to produce heat in an external resistance by passing a current through it. The maximum power that can be developed across R using these batteries is

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======= ####91. Two identical batteries each of e.m.f 2V and internal resistance 1Ω are available to produce heat in an external resistance by passing a current through it. The maximum power that can be developed across R using these batteries is

c3eec34ec6b1fad69db54a20ad4b2dca40c2aa54 (a) 3.2W

(b) 2.0W

(c) 1.28W

(d) 89W

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Answer:

Correct Answer: 91. (b)

Solution:

  1. (b) For maximum current, the two batteries should be connected in series. The current will be maximum when external resistance is equal to the total internal resistance of cells i.e. 2Ω. Hence power devloped across the resistacne R will be

I2R=(2ER+2r)2R=(2×22+2)×2=2W



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