For given `vec(E)=2x hat(i)+3yhat(j)`, find the potential at (x, y) if V at origin is 5 volts.

Explanation

To find the potential \( V \) at the point \( (x, y) \) given the electric field \( \vec{E} = 2x \hat{i} + 3y \hat{j} \) and the potential at the origin \( V(0, 0) = 5 \) volts, we can follow these steps:

### Step 1: Understand the relationship between electric field and potential
The relationship between electric field \( \vec{E} \) and electric potential \( V \) is given by:
\[ \vec{E} = -\nabla V \]
This means that the electric field is the negative gradient of the potential.
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