A cylindrical conductor of length L and uniform area of cross section A has resistance R.Another conductor of length 2.5L and resistance 0.5R of the same material has area of cross section?
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Answer:
5A
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The area of cross section of the conductor of length 2.5 L and resistance 0.5 R is 5A.
- Resistance of a conductor
= (resistivity of the conductor) * (length of conductor) / (area of cross section)
- Let area of cross section of conductor with length 2.5L be x.
- According to the question,
R = ρL / A ……..(i)
and,
0.5 R = ρ (2.5 L) / x ……….(ii)
- Using equation (i) and (ii) , we get x = 5A
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