Electrical Resistivity resistivity

Electric composite Defined Ω·m

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🗺️ Relationship Extract

Only this unit’s dependency chain down to SI units (drag, zoom, click nodes).

Tip: click nodes to highlight neighborhood. Multi-derivation pairs are color-coded per pair for the same result.

Root: resistivity · Nodes: 30

🧮 Unit Definition

Formula

ohm * meter

📘 Description

Electrical Resistivity (Ω·m)

Unit: Ω·m

Definition: Resistivity quantifies how strongly a material opposes electric current flow. It is the intrinsic (geometry-normalized) counterpart of resistance.

Core relationships:

R = ρ · (L/A)
σ = 1/ρ (conductivity is the inverse material property, conceptually)

Interpretation: Low resistivity materials (metals) conduct well; high resistivity materials (insulators) do not.

UnitSpace perspective: This is the clean “materialization” of ohm by embedding it into spatial geometry (meter).

🚀 Potential Usages

Applications

Material selection for conductors, heaters, resistive sensors
Temperature coefficient studies (metals vs semiconductors)
Geophysics (ground resistivity surveys)
Microelectronics (sheet resistance and thin films)

🔬 Formula Breakdown to SI Units

resistivity = ohm × meter
ohm = permeability × permittivity
permeability = henry × meter
henry = ohm × second
henry = weber × ampere
weber = volt × second
volt = watt × ampere
watt = joule × second
joule = newton × meter
newton = acceleration × kilogram
acceleration = meter × second_squared
second_squared = second × second
joule = rest_energy × rest_energy
rest_energy = kilogram × c_squared
c_squared = meter_squared × second_squared
meter_squared = meter × meter
joule = magnetic_dipole_moment × tesla
magnetic_dipole_moment = ampere × meter_squared
magnetic_dipole_moment = magnetization × meter_cubed
magnetization = ampere × meter
meter_cubed = meter_squared × meter
tesla = weber × meter_squared
tesla = kram × ampere
kram = newton × meter
watt = specific_power × kilogram
specific_power = meter_squared × second_cubed
second_cubed = second_squared × second
specific_power = velocity × acceleration
velocity = meter × second
specific_power = velocity_squared × second
velocity_squared = velocity × velocity
volt = joule × coulomb
coulomb = ampere × second
permittivity = farad × meter
farad = coulomb × volt
ohm = volt × ampere

🧪 SI-Level Breakdown

electrical resistivity = second × meter × ampere × second × meter × second × second × kilogram × meter × second × ampere × meter × meter

📜 Historical Background

Historical Notes

Resistivity matured alongside Ohm's law and the industrial need to compare materials independent of wire geometry.

💬 Discussion

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