The resistance of a wire of length 2 m and area of cross section 0.5 μm2 is 2.2 Ω. Find the specific resistance of the material of the wire.
Answers
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✰Answer✰
♦️GiveN
- Length of wire = 2m
- Area of cross section = 0.5μm2
- Resistance = 2.2 Ohms
♦️To FinD
- Specific resistance of wire....?
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✰We must know✰
➯Specific resistance is the resistance offered for a unit length and per unit area at a particular voltage applied.
▩Derivation of Formula
➯We know,
➯From equation (1) and equation (2)
Where, ⍴ is the specific resistivity of the conductor.
➯From the above formula, we can write
♦️Note:
Symbols have their usual meanings
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♦️As we can see, All the unitsof physical quantities are not according to a particular metric system, Lets convert it into their respective SI units.
✰Unit Conversion✰
➯Resistance = 2.2 ohms
Ohms, is the SI unit only, No change is needed.
➯Length = 2m
Metre is the SI unit only, No change is needed.
➯Area = 0.5μm^2
μm^2 is not the SI unit unit , instead m^2 is the SI unit, So we need to convert it
Then, 0.5 μm^2 =
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✰Solution✰
➯By using formula,
➯Putting the values of R, A and l
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Answer:
THE ANS IS 5.5*10-13 OHM
Explanation:
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