Find the cross-sectional area of copper wire that is 55.4 m long and has a resistance of 0.943 ohms. The resistivity of copper is 1.79 x 10^-8 ohms m.
resistance= resistity*length/area
solve for area.
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To find the cross-sectional area of the copper wire, we can use the formula for resistance. The formula for resistance (R) is given by:
R = (ρ * L) / A
Where:
R is the resistance
ρ (rho) is the resistivity of copper
L is the length of the wire
A is the cross-sectional area of the wire
We need to rearrange the formula to solve for A:
A = (ρ * L) / R
Given:
ρ (rho) = 1.79 x 10^-8 ohms m
L = 55.4 m
R = 0.943 ohms
Substituting these values into the equation, we get:
A = (1.79 x 10^-8 ohms m * 55.4 m) / 0.943 ohms
A = 1.04 x 10^-6 m^2
Therefore, the cross-sectional area of the copper wire is 1.04 x 10^-6 square meters.