Resistivity
Consider a 10 Ω resistor has a cross-sectional area of 0.1 m^2 and length of 1 cm. What is the material’s resistivity (Ω∙m) inside the resistor?
Expand Hint
Resistivity is the material property that determines the resistance of a resistor, or how strongly it resists an electric current.
Hint 2
A material’s resistivity within a resistor:
$$$\rho = \frac{RA}{L}$$$
where
$$R$$
is the resistor’s resistance,
$$A$$
is the resistor’s cross-sectional area, and
$$L$$
is the resistor’s length.
Resistivity is the material property that determines the resistance of a resistor, or how strongly it resists an electric current. A material’s resistivity within a resistor:
$$$\rho = \frac{RA}{L}$$$
where
$$R$$
is the resistor’s resistance,
$$A$$
is the resistor’s cross-sectional area, and
$$L$$
is the resistor’s length.
$$$\rho = \frac{(10\Omega)(0.1m^2)}{0.01m}=\frac{1\Omega\cdot m}{0.01}=100\:\Omega\cdot m$$$
100 Ω∙m
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