Physics of Everyday Phenomena
Physics of Everyday Phenomena
9th Edition
ISBN: 9781259894008
Author: W. Thomas Griffith, Juliet Brosing Professor
Publisher: McGraw-Hill Education
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Chapter 16, Problem 1CQ

What characteristic of the electromagnetic waves predicted by Maxwell’s theory led him to suggest that light might be an electromagnetic wave? Explain.

Expert Solution & Answer
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To determine

What characteristic lead Maxwell to predict light are electromagnetic waves.

Answer to Problem 1CQ

The speed of the electromagnetic wave is close to the speed of light leads to the conclusion of light is an electromagnetic wave.

Explanation of Solution

Maxwell had studied about the combined effect of electric and magnetic field, found out that the changing electric field could possible to produce changing magnetic field and vice versa. The example of producing electromagnetic wave is an accelerating electric charge.

These electromagnetic wave could travel in space with a speed which is depends on the electric and magnetic property of the surrounding space. When calculated the speed of electromagnetic wave through vacuum it had been found that it is close to the speed of light. This circumstances lead to the conclusion that light is an electromagnetic wave.

Conclusion:

Therefore, the speed of the electromagnetic wave is close to the speed of light leads to the conclusion of light is an electromagnetic wave.

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What characteristic of the electromagnetic waves predicted by Maxwell's theory led him to suggest that light might be an electromagnetic wave? Explain.
For the next two questions, consider a transverse electromagnetic wave that is propagating in a vacuum, and the electric field component is as follows: Ē(x, t) = (600 [V/m]) cos [(1 × 107 [rad/m]) ·x - wt]] 1. What is the direction of propagation of the EM wave? A. +j B. -j C. Fi D. +k 2. Which of the following is the correct expression for its corresponding magnetic field component B? I - A. B(x, t) = (0.5 [uT]) cos [(1 x 107 [rad/m]). × x − wt] (+7) B. B(x, t) = (2.0 [µT]) cos [(1 × 107 [rad/m]) · x − wt] (+k) C. B(x, t) = (0.5 [µT]) cos [(1 × 107 [rad/m]) · x − wt] (−1) D. B(x, t) = (2.0 [µT]) cos [(1 × 107 [rad/m]) · x − wt] (-k) -
Answer the following two bonus questions. a. The electric field in the EM wave is given by the following equation: E = 450sin(0.40z – 6.0 x 10°t)î, where E is N/C, z in meters and t in seconds. Determine the curl of the electric field (V X E). b. Use the divergence theorem to convert the Gauss' law from the integral form to the differential form.

Chapter 16 Solutions

Physics of Everyday Phenomena

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What Are Electromagnetic Wave Properties? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=ftyxZBxBexI;License: Standard YouTube License, CC-BY