# In a certain region of space the electric potential is given by V=+Ax^2y−Bxy^2, where A= 5.00 V/m^3 and B= 8.00 V/m^3.Part A Calculate the magnitude of the electric field at the point in the region that has coordinates x= 1.10 m, y= 0.400 m, and z= 0. Express your answer to three significant figures and include the appropriate units.Part B Calculate the direction angle of the electric field at the point in the region that has coordinates x= 1.10 m, y= 0.400 m, and z= 0. Express your answer in degrees.∘, measured counterclockwise from the positive x-axis in the xy plane

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In a certain region of space the electric potential is given by V=+Ax^2y−Bxy^2, where A= 5.00 V/m^3 and B= 8.00 V/m^3.

Part A
Calculate the magnitude of the electric field at the point in the region that has coordinates x= 1.10 m, y= 0.400 m, and z= 0.
Express your answer to three significant figures and include the appropriate units.

Part B
Calculate the direction angle of the electric field at the point in the region that has coordinates x= 1.10 m, y= 0.400 m, and z= 0.

∘, measured counterclockwise from the positive x-axis in the xy plane

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Step 1

Given,

Step 2

Part A: The magnitude of the electric field at the point in the region that has coordinates x = 1.1 m, y = 0.4 m, and z = 0.

Partially differentiate equation (1) with respect to x, y and z respectively:

Step 3

Magnitude of the electric field:

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