Question

Asked Sep 21, 2019

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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.

Express your answer in degrees.

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

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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