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Expert Solution

The x-commponent of the electric field is,

E_x = dV/dx

= d/dx[(2.0 V/m²)x² - (3.0 V/m²)y²]

= (2.0 V/m²)(2x)

= (4.0 V/m²)x

The y-commponent of the electric field is,

E_y = dV/dy

= d/dy[(2.0 V/m²)x² - (3.0 V/m²)y²]

= -(3.0 V/m²)(2y)

= -(6.0 V/m²)y

Thus, the vector form of the electric field is,

E = E_x + E_y

= [(4.0 V/m²)x] i - [(6.0 V/m²)y] j

Here, i and j are unit vectors along the x and y axis respectively.

genius_generous answered 3 months ago

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