The formula to calculate the Resistance (R) is:
\[ \text{R} = \frac{\text{L}}{\sigma \times \text{A}} \]
Where:
Let's say the length of the material (L) is 2 meters, the conductivity (σ) is 5 S/m, and the cross-sectional area (A) is 0.01 m². Using the formula:
\[ \text{R} = \frac{2}{5 \times 0.01} = 40 \text{ Ω} \]
So, the resistance is 40 Ω.
Definition: Conductance is the reciprocal of resistance.
Formula: \( G = \frac{1}{R} \)
Example: \( G = \frac{1}{50 , \Omega} \)
Definition: Conductivity is the reciprocal of resistivity.
Formula: \( \sigma = \frac{1}{\rho} \)
Example: \( \sigma = \frac{1}{0.02 , \Omega \cdot \text{m}} \)
Definition: Conductivity can be calculated from resistivity using the reciprocal relationship.
Formula: \( \sigma = \frac{1}{\rho} \)
Example: \( \sigma = \frac{1}{0.05 , \Omega \cdot \text{m}} \)
Definition: This formula converts resistivity to conductivity.
Formula: \( \sigma = \frac{1}{\rho} \)
Example: \( \sigma = \frac{1}{0.1 , \Omega \cdot \text{m}} \)
Definition: This calculation converts conductivity to resistivity.
Formula: \( \rho = \frac{1}{\sigma} \)
Example: \( \rho = \frac{1}{5 , \text{S/m}} \)
Definition: Conductivity can be derived from resistance using the material's dimensions.
Formula: \( \sigma = \frac{L}{R \times A} \)
Example: \( \sigma = \frac{2 , \text{m}}{50 , \Omega \times 0.01 , \text{m}^2} \)
Definition: Resistance can be calculated from conductivity using the material's dimensions.
Formula: \( R = \frac{L}{\sigma \times A} \)
Example: \( R = \frac{1 , \text{m}}{10 , \text{S/m} \times 0.02 , \text{m}^2} \)
Definition: The resistance of a conductor can be calculated using its resistivity, length, and cross-sectional area.
Formula: \( R = \rho \frac{L}{A} \)
Example: \( R = 0.02 , \Omega \cdot \text{m} \frac{5 , \text{m}}{0.01 , \text{m}^2} \)
Definition: This equation converts resistivity to conductivity.
Formula: \( \sigma = \frac{1}{\rho} \)
Example: \( \sigma = \frac{1}{0.03 , \Omega \cdot \text{m}} \)
Definition: This calculator converts the conductivity of water to its resistivity.
Formula: \( \rho = \frac{1}{\sigma} \)
Example: \( \rho = \frac{1}{0.1 , \text{S/m}} \)
Definition: This formula relates conductivity and resistivity.
Formula: \( \sigma = \frac{1}{\rho} \)
Example: \( \sigma = \frac{1}{0.04 , \Omega \cdot \text{m}} \)
