A) Consider a monochromatic electromagnetic plane wave propagating in the z dire

Question

A) Consider a monochromatic electromagnetic plane wave propagating in the z direction. At a particular point in space, the magnitude of the electric field has an instantaneous value of 589 V/m in the positive x-direction. What is the instantaneous magnitude of the Poynting vector at the same point and time? The speed of light is 2.99792 × 108 m/s, the permittivity of free space is 8.85419 × 1012 C 2 /N/m2 and the permeability of free space is 4 × 107 T · N/A. Answer in units of W/m2

I got part A the answer was 921.339, i just need parts B and C

B) What is the direction of the instantaneous magnetic field? 1. Bb = ˆ 2. Bb = +ˆ 3. Bb = +ˆ 4. The magnetic field vector does not have an instantaneous direction. 5. Bb = ˆ 6. Bb = +ˆk 7. Bb = ˆk

C) What is the direction of the instantaneous Poynting vector? 1. Sb = ˆk 2. Sb = +ˆk 3. Sb = ˆ 4. Sb = ˆ 5. Sb = +ˆ 6. The Poynting vector does not have an instantaneous direction. 7. Sb = +ˆ

Explanation / Answer

B) As we know the magnetic field , electric field , & direction of propagation of electromagnetic wave all are perpendicular to each other

since electromagnetic wave is in Z direction , electric filed is in + X direction so magnetic filed will be in + Y direction

so + j

C), the Poynting vector represents the directional energy flux density. energy is scalar quntity so

The Poynting vector does not have an instantaneous direction.

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