The Electric Potential of a Charge Distribution Is Given by the Equation

question 27

Multiple Choice

The electric potential of a charge distribution is given by the equation V(x) = 3 x² y² + y z³ - 2 z³x, where x, y, z are measured in meters and V is measured in volts. Calculate the magnitude of the electric field vector at the position (x,y,z) = (1.0, 1.0, 1.0) .

• A)4.3 V/m
• B)2.0 V/m
• C)-8.1 V/m
• D)8.6 V/m
• E)74 V/m

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Definitions:

Azurite

Azurite is a deep blue copper mineral produced by the oxidation of copper ore deposits. It has been used historically as a pigment in art and jewelry.

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The natural capability to produce offspring or yield a crop, often symbolized and revered in various cultures through art, rituals, and deities.

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Text that is written, carved, or engraved on a surface, often for the purposes of dedication, commemoration, or identification.

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An ancient Mesopotamian temple complex noted for its massive step pyramid structure, serving both as a place of worship and a center of city administration.