the resistance of copper wire of length 1m is 0.1 ohm the diameter of the wire is 0.045cm find its specific resistance
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To find the specific resistance of the copper wire, we can use the formula:
Resistance (R) = (Specific Resistance * Length) / Cross-sectional Area
First, let's convert the diameter of the wire to its radius:
Radius (r) = Diameter / 2
r = 0.045 cm / 2 = 0.0225 cm
Now, let's convert the radius to meters:
r = 0.0225 cm * 0.01 m/cm = 0.000225 m
Next, we need to find the cross-sectional area of the wire. The formula for the cross-sectional area of a circle is:
Cross-sectional Area (A) = π * r^2
Plugging in the radius, we get:
A = π * (0.000225 m)^2
Now, let's calculate the specific resistance by rearranging the formula:
Specific Resistance = (R * A) / Length
Plugging in the values we have:
Specific Resistance = (0.1 ohm * π * (0.000225 m)^2) / 1 m
Calculating this expression will give us the specific resistance of the copper wire in ohm-meters.