what is the resistance of a 30 m silver wire with a 2 mm diameter
Length of silver wire = 30 m
Diameter of silver wire is = 2mm =2×10-3
area of cross section of wire = πr2=3.14×(2×10−3)2\pi r^2= 3.14×(2×10^{-3})^2πr2=3.14×(2×10−3)2
A=12.56×10-6
Resistivity of silver wire = 1.59×10-8
R=ρlAR=\frac{\rho l}{A}R=Aρl
R=1.59×10−8×3012.56×10−8R=\frac{1.59×10^{-8}× 30}{12.56×10^{-8}}R=12.56×10−81.59×10−8×30
R= 3.797 Ω\OmegaΩ
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