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Q.

30. The resistance of iron wire is 10  Ω and α=5×10−3/0C . If a current of 30A is flowing in it at 200C , keeping the potential  difference across  its length constant, if the temperature is increased to 1200C , what is the current flowing through that wire?

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a

10A

b

20A

c

15A

d

25A

answer is B.

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Detailed Solution

α = R2−R1R1t2−R2t1or, R2 = R11+αt (approximately)R2 = 101+5×10−3×100= 101+0.5= 15Ωi1R1 = i2R210×30 = i215i2 = 20A
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