the resistense per meter length of a wire is 10 ohm. if the resistivity of the material of wire is 50^10 raised to - 8 find the area of cross section of the wire... Pls it's urgent
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Given that, length of wire (l) = 1 m, Resistance (R) = 10Ω, resistivity (p) = 50 × 10^8-
We have to find the area of cross-section (A) of the wire.
Now,
R = p l/A
Here, The resistance of the conductor (wire) is directly proportional to the length of wire i.e. R ∝ l
Inversely proportional to the area of cross-section of wire i.e. R ∝ 1/A
R ∝ l/A
If we remove the sign of proportionality we use a constant i.e. p (rho).
So, R = p l/A
→ 10 = (50 × 10^8- × 1)/A
→ A = (50 × 10^8-)/10
→ A = 5 × 10^(8-) m^2
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