calculate the resistivity of a wire of length 2m and cross-sectional area 0.004cm square if resistanceis 3.0 ohm?
P=RA/L
3×0.004÷200
=0.00006.
Convert 2m to cm
2×100=200cm
r=rho*length/area
rho=3*.004cm/2=.006ohm/cm
Calculate the resistivity of a wire of length 2m and cross sectional area. 0.004cm square if resistance is 3.0m
Urgently i need the answer
To calculate the resistivity of a wire, we can use the following formula:
Resistivity (ρ) = (Resistance × Cross-sectional area) / Length
Given:
Resistance (R) = 3.0 ohm
Length (L) = 2m
Cross-sectional area (A) = 0.004cm²
Step 1: Convert the cross-sectional area from cm² to m².
1 cm² = 0.0001 m².
So, 0.004 cm² = 0.004 × 0.0001 m² = 0.000004 m².
Step 2: Plug in the values into the formula.
Resistivity (ρ) = (Resistance × Cross-sectional area) / Length
ρ = (3.0 ohm × 0.000004 m²) / 2m
Step 3: Simplify the equation.
ρ = (3.0 × 0.000004) / 2
ρ = 0.000012 / 2
ρ = 0.000006 ohm•m
Therefore, the resistivity of the wire is 0.000006 ohm•m.