In a region of free space, the electric field at an

Chapter 34, Problem 24

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QUESTION:

In a region of free space, the electric field at an instant of time is E S 5 180.0i ^ 1 32.0j ^ 2 64.0k^ 2 N/C and the magnetic field is B S 5 10.200i ^ 1 0.080 0j ^ 1 0.290k^ 2 mT. (a) Show that the two fields are perpendicular to each other. (b) Determine the Poynting vector for these fields.

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QUESTION:

In a region of free space, the electric field at an instant of time is E S 5 180.0i ^ 1 32.0j ^ 2 64.0k^ 2 N/C and the magnetic field is B S 5 10.200i ^ 1 0.080 0j ^ 1 0.290k^ 2 mT. (a) Show that the two fields are perpendicular to each other. (b) Determine the Poynting vector for these fields.

ANSWER:

Step 1 of 2 

(a) we can easily say the two fields are perpendicular to each other if the scalar product of magnetic and electric field is equal to zero.

        

So it's clear the two fields are perpendicular to each other.

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