An electric field `vecE = vec I Ax` exists in the space, where `A= 10 V m ^(-2).` Take the potential at (10m, 20m ) to be zero. Find the potential at the origin.

Explanation

To find the potential at the origin given the electric field \( \vec{E} = \vec{i} A x \) where \( A = 10 \, \text{V/m}^2 \), and knowing that the potential at the point (10m, 20m) is zero, we can follow these steps:

### Step 1: Understand the Electric Field
The electric field is given as:
\[ \vec{E} = A x \hat{i} = 10 x \hat{i} \, \text{V/m}^2 \]
This means the electric field varies with the x-coordinate.
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