Conductivity & Resistivity

Resistivity and conductivity are inverse properties which define how well a material can transfer a current.

Definition §

Formula §

$$\sigma =\frac{q_e^2\tau }{m_e}=\frac{1}{\rho }$$

$$\rho =\frac{m_e}{q_e^2\tau }=\frac{1}{\rho }$$

• $\sigma$ = Conductivity (in $1/\text{ohm}m$)
• $\rho$ = Resistivity (in $\text{ohm}m$)
• $q_e$ = Charge of an electron (elementary charge) (in $C$)
• $\tau$ = Average time between electron collision (in $s$)
• $m_e$ = Electron mass (in $kg$)

Meanings §

Derivation §

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