Problem 12.4 (a) Two equal sources radiate a wavelength A and are separated a distance X/2. There is a phase difference 80 = between the signals at source. If the intensity of each source is I,, show that the intensity of the radiation pattern is given by 1 = 41, sin² (sin 6) where the sources lie on the axis ±7/2. Plot / versus 0. (b) If the sources in (a) are now X/4 apart and 80 = x/2 show that 1 = 41, 41, [cos² (1+ sine)] Plot / versus 0.
Problem 12.4 (a) Two equal sources radiate a wavelength A and are separated a distance X/2. There is a phase difference 80 = between the signals at source. If the intensity of each source is I,, show that the intensity of the radiation pattern is given by 1 = 41, sin² (sin 6) where the sources lie on the axis ±7/2. Plot / versus 0. (b) If the sources in (a) are now X/4 apart and 80 = x/2 show that 1 = 41, 41, [cos² (1+ sine)] Plot / versus 0.
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![Problem 12.4
(a) Two equal sources radiate a wavelength A and are separated a distance X/2. There is a phase
difference 80 = π between the signals at source. If the intensity of each source is Is, show that the
intensity of the radiation pattern is given by
1 = 41, sin² (sin 6)
where the sources lie on the axis ±/2.
Plot I versus 0.
(b) If the sources in (a) are now X/4 apart and 80 = 7/2 show that
π
41, [cos² (1 + sine)]
Plot I versus 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F074330c8-b1f3-44cc-b9dc-b5bfb3ec5435%2F323f2b9c-45b0-488b-b89b-9ef2d6ff5285%2Fgddu0ja_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 12.4
(a) Two equal sources radiate a wavelength A and are separated a distance X/2. There is a phase
difference 80 = π between the signals at source. If the intensity of each source is Is, show that the
intensity of the radiation pattern is given by
1 = 41, sin² (sin 6)
where the sources lie on the axis ±/2.
Plot I versus 0.
(b) If the sources in (a) are now X/4 apart and 80 = 7/2 show that
π
41, [cos² (1 + sine)]
Plot I versus 0.
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