The electric potential in a region is represented a `v = 2x + 3y - z`. Obtain expression for electric field strength.

Explanation

To find the expression for the electric field strength from the given electric potential \( V = 2x + 3y - z \), we can use the relationship between electric potential and electric field. The electric field \( \vec{E} \) is related to the electric potential \( V \) by the equation:

\[ \vec{E} = -\nabla V \]

where \( \nabla V \) is the gradient of the potential \( V \). The gradient in three-dimensional Cartesian coordinates is given by:

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