The electric potential V at any point in space is given ` V = 20 x ^3` volt, where `x` is in meter. Calculate the electric intensity at point P (1, 0, 2).

Explanation

To find the electric intensity (electric field) at point P (1, 0, 2) given the electric potential \( V = 20x^3 \) volts, we can follow these steps:

### Step 1: Understand the relationship between electric potential and electric field
The electric field \( \mathbf{E} \) is related to the electric potential \( V \) by the formula:
\[ \mathbf{E} = -\nabla V \]
where \( \nabla V \) is the gradient of the potential. In Cartesian coordinates, this can be expressed as:
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