The electric field is given by:

$\overline{){\mathbf{E}}{\mathbf{=}}{\mathbf{-}}{\mathbf{\nabla}}{\mathbf{V}}{\mathbf{=}}{\mathbf{-}}{\mathbf{(}}\frac{\mathbf{\partial}}{\mathbf{\partial}\mathbf{x}}\hat{\mathbf{i}}{\mathbf{+}}\frac{\mathbf{\partial}}{\mathbf{\partial}\mathbf{y}}\hat{\mathbf{j}}{\mathbf{)}}{\mathbf{V}}}$

Vector Magnitude:

$\overline{)\mathbf{\left|}\stackrel{\mathbf{\rightharpoonup}}{\mathit{A}}\mathbf{\right|}{\mathbf{=}}\sqrt{{{\mathit{A}}_{\mathit{x}}}^{\mathbf{2}}\mathbf{+}{{\mathit{A}}_{\mathit{y}}}^{\mathbf{2}}}}$

Direction:

$\overline{){\mathbf{tan}}{\mathit{\theta}}{\mathbf{=}}\frac{{\mathit{A}}_{\mathit{y}}}{{\mathit{A}}_{\mathit{x}}}}$

The electric potential in a region of space is *V*=350V?m*x*2+*y*2?, where *x* and *y* are in meters.

Part A

What is the strength of the electric field at (x,y) = (2.3m, 2.9m)?

Express your answer using two significant figures.

Part B

What is the direction of the electric field at (x,y) = (2.3m, 2.9m)? Give the direction as an angle ccw from the positive x-axis.

Express your answer using two significant figures.

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