The current density at a point is`vecj` = `(2xx10^(4)hatj)Jm^(-2)`. Find the rate of charge flow through a cross sectional area `vecS` = `(2hati +3hatj)cm^(2)`

Explanation

To solve the problem, we need to find the rate of charge flow (current) through a given cross-sectional area using the current density. The formula we will use is:

\[ I = \vec{J} \cdot \vec{S} \]

where:
- \( I \) is the current,
- \( \vec{J} \) is the current density vector,
- \( \vec{S} \) is the area vector.
...