The formula to calculate the Current Density (j) is:
\[ j = p \times v \]
Where:
Let's say the charge density (\( p \)) is 5 C/m³ and the velocity of the charges (\( v \)) is 2 m/s. Using the formula:
\[ j = 5 \times 2 \]
We get:
\[ j = 10 \text{ A/m²} \]
So, the Current Density (\( j \)) is 10 A/m².
Current density is defined as the total current per unit of volume or area. It is a measure of the electric current (flow of electric charge) per unit area of cross-section.
Definition: Current density is the amount of electric current flowing through a unit area of a cross-section.
Formula: \( J = \frac{I}{A} \)
Example: \( J = \frac{10}{2} \)
Definition: Electric current density is the measure of the flow of electric charge in amperes per unit area of cross-section.
Formula: \( J = \sigma \times E \)
Example: \( J = 5 \times 3 \)
Definition: The dimensional formula of current density represents its dimensions in terms of fundamental quantities.
Formula: \( [J] = [I][L]^{-2} \)
Example: \( [J] = [A][m]^{-2} \)
