Explanation 1) Concept: We can use the concept of the vector addition law. The intensity is proportional to the square pf the resultant amplitude field. Consider the given waves as a vector and add their x components and y components separately. Find out the magnitude of the resultant and the angle by using the vector addition concept. 2) Formula: i) y R → = y h → + y v → ii) β = tan - 1 ⁡ y v y h iii) y = y 1 + y 2 iv) y = y R sin ⁡ ω t + β 3) Given: i) y 10 = 1.0 ii) y 20 = 2.0 iii) ∅ = 60 ° 4) Calculations: The phasor diagram for the given quantities is We choose t = 0 , for which the phasors representing the two waves are shown in the figure. We can add these two phasors by the vector components method. Let the two waves are y 1 = y 10 sin ⁡ ω t y 2 = y 20 sin ⁡ ω t + ∅ By putting the given values as y 1 = 1.0 sin ⁡ ω t y 20 = 2.0 sin ⁡ ω t + 60 ° y = y 1 + y 2 The sum of their horizontal components is ∑ y h = y 1 x + y 2 x ∑ y h = 1

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

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Electromagnetic Waves

Electromagnetic waves are waves that consist of magnetic field and electric field components perpendicular to each other. These field components are also perpendicular to the direction of propagation of the wave.

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Chapter 35, Problem 29P

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To find:

The resultant of the amplitude.

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Chapter 35, Problem 28P

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The resultant of the amplitude.

Solution Summary: The author explains how to find the resultant of the amplitude by using the vector addition law.

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To find: The resultant of the amplitude.

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Chapter 35 Solutions

To find:

The resultant of the amplitude.