If a wire has a resistance of 132ohms a length of 110cm and an area of cross- sectional of 0.00415cm square find the resistivity of the material of which it is made
4 5 6
49.9×10to the power -8
To find the resistivity (denoted by the symbol ρ) of a material, you can use the formula:
ρ = (R * A) / L
Where:
ρ is the resistivity
R is the resistance
A is the cross-sectional area of the wire
L is the length of the wire
In this case, you have the following values:
Resistance (R) = 132 ohms
Length (L) = 110 cm
Cross-sectional area (A) = 0.00415 cm^2
Plugging these values into the formula, you get:
ρ = (132 * 0.00415) / 110
Calculating this:
ρ = 0.4956 / 110
Therefore, the resistivity of the material is approximately 0.0045 ohm*cm (rounded to four decimal places).