The length (m/s)=1M, radius=0.2(M.M) specific resistance=2.44×10to the power of-8 (ohm meter)
HINT,(:R=S×L) by A
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12th
Physics
Current Electricity
Electrical Resistance & Resistivity
A wire is 1.0 m long , 0.2 ...
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Asked on December 26, 2019 by
Mahalakshmi Kottu
A wire is 1.0 m long , 0.2 mm in diameter and has a resistance of 10 Ω. Calculate the resistivity of its material.
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ANSWER
Given,
l=0.1m=1000mm
d=0.2mm∴radius(r)=
2
0.2
=0.1mm
R=10Ω
To find,
Resistivity(ρ)
ρ=R
l
A
where,
R= Resistance
l= Length of wire
A= Cross sectional area of wire
Cross sectional area of cylinder (A)=Πr
2
⇒A=π×(0.1)
2
⇒A=0.0314mm
2
∴ρ=10(
1000
0.0341
)
⇒ρ=0.000314Ω−mm
⇒ρ≃3.14×10
−7
Ω−m
So, the resistivity of the material is equal to 3.14×10
−7
Ω−m
Explanation:
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