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The resistance of a wire of 0.01cm radius is 10ohm.If the resistivity of the material of the wire is 50×10^-8 ohm m then find the length ?
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The resistance of a wire of 0.01cm radius is 10ohm.If the resistivity ...
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The resistance of a wire of 0.01cm radius is 10ohm.If the resistivity ...
Formula: Resistance (R) = Resistivity (ρ) x Length (L) / Area (A)

Given:
Radius (r) = 0.01cm = 0.0001m
Resistance (R) = 10 ohm
Resistivity (ρ) = 50 x 10^-8 ohm m

Calculations:
1. Finding the area (A) of the wire
Area (A) = πr^2
A = 3.14 x (0.0001)^2
A = 3.14 x 10^-8 m^2

2. Using the formula to find the length (L) of the wire
R = ρL/A
10 = (50 x 10^-8) x L / (3.14 x 10^-8)
L = (10 x 3.14) / 50
L = 0.628m

Answer: The length of the wire is 0.628m.
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The resistance of a wire of 0.01cm radius is 10ohm.If the resistivity of the material of the wire is 50×10^-8 ohm m then find the length ?
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