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A Planar Electromagnetic Wave Is Propagating in the +X Direction

question 35

Multiple Choice

A planar electromagnetic wave is propagating in the +x direction. At a certain point P and at a given instant, the electric field of the wave is given by A planar electromagnetic wave is propagating in the +x direction. At a certain point P and at a given instant, the electric field of the wave is given by   = (0.082 V/m)  ĵ. What is the Poynting vector at the point P at that instant? (c = 3.0 x 10<sup>8</sup> m/s, μ<sub>0 </sub>= 4π × 10<sup>-7</sup> T ∙ m/A, ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N ∙ m<sup>2</sup>)  A)  18 µW/m<sup>2</sup> î B)  -18 µW/m<sup>2</sup> î C)  9.0 µW/m<sup>2</sup> î D)  -9.0 µW/m<sup>2</sup> î E)  -18 µW/m<sup>2</sup>  = (0.082 V/m) ĵ. What is the Poynting vector at the point P at that instant? (c = 3.0 x 108 m/s, μ0 = 4π × 10-7 T ∙ m/A, ε0 = 8.85 × 10-12 C2/N ∙ m2)


Definitions:

Cobb-Douglas Production Function

The Cobb-Douglas Production Function is an economic model representing the relationship of an output to inputs, typically showing how labor and capital contribute to the production process in a way that reflects diminishing returns.

Returns to Scale

The rate at which output increases as inputs are increased proportionally in the production process.

Logarithmic Variable Cost Function

A formula representing the variable costs of production as a logarithmic function, indicating how these costs evolve as production volume changes.

Increasing Rate

Often refers to a situation where the rate of change of a variable is accelerating; a concept applicable in various economic, financial, and mathematical contexts.

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