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Robert_W_Brown;_Yu-Chung_N_Cheng;_E_Mark_Haacke;(z-lib.org).pdf - Adobe Reader File Edit View Window Help (77 of 978) Fill & Sign Tools Comment Оpen 43 100% Sign In Export PDF 3.2. The Rotating Frame for an RF Field 43 Create PDF Equation (3.21) displays a constant term plus two oscillating terms whose effects average to zero over times that are half multiples of the rf period or, more relevantly, for all times large compared to the rf period. The definition for an average over a time interval T is given by Edit PDF Adobe Acrobat Pro Easily edit text and images in PDF documents (3.22) < f(t) > dt f (t) Start Now With the details left as a problem for the reader, the primed-frame time averaged value of (3.21) is Send Files 1 primed Store Files (3.23) for constant bin Problem 3.2 f (t) Show that the average (3.22) over time interval T for f(t) = sin (nwt) cos (nwt) for any positive integer n is zero when or a) T 2mT/w for any positive integer or T = mT/w for even n) or when the following limit is taken b) Т> 2п/w The reduced amplitude bn in (3.23) is noteworthy. It implies that only half of the original linearly polarized field (3.15) amplitude is available in the rotating reference frame for tipping the spin. Also, (3.23) is still valid for a time dependent bn(t), provided it changes only over time scales much larger than the rf period 2T/w. It has been noted earlier that Llin(.

Robert_W_Brown;_Yu-Chung_N_Cheng;_E_Mark_Haacke;(z-lib.org).pdf - Adobe Reader File Edit View Window Help (77 of 978) Fill & Sign Tools Comment Оpen 43 100% Sign In Export PDF 3.2. The Rotating Frame for an RF Field 43 Create PDF Equation (3.21) displays a constant term plus two oscillating terms whose effects average to zero over times that are half multiples of the rf period or, more relevantly, for all times large compared to the rf period. The definition for an average over a time interval T is given by Edit PDF Adobe Acrobat Pro Easily edit text and images in PDF documents (3.22) < f(t) > dt f (t) Start Now With the details left as a problem for the reader, the primed-frame time averaged value of (3.21) is Send Files 1 primed Store Files (3.23) for constant bin Problem 3.2 f (t) Show that the average (3.22) over time interval T for f(t) = sin (nwt) cos (nwt) for any positive integer n is zero when or a) T 2mT/w for any positive integer or T = mT/w for even n) or when the following limit is taken b) Т> 2п/w The reduced amplitude bn in (3.23) is noteworthy. It implies that only half of the original linearly polarized field (3.15) amplitude is available in the rotating reference frame for tipping the spin. Also, (3.23) is still valid for a time dependent bn(t), provided it changes only over time scales much larger than the rf period 2T/w. It has been noted earlier that Llin(.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Problem 3.2
Show that the average (3.22) over time interval T for f(t) = sin (nωt) or f(t) =
cos (nωt) for any positive integer n is zero when
a) T = 2mπ/ω for any positive integer m (or T = mπ/ω for even n)
or when the following limit is taken
b) T ≫ 2π/ω

 

Robert_W_Brown;_Yu-Chung_N_Cheng;_E_Mark_Haacke;(z-lib.org).pdf - Adobe Reader File Edit View Window Help (77 of 978) Fill & Sign Tools Comment Оpen 43 100% Sign In Export PDF 3.2. The Rotating Frame for an RF Field 43 Create PDF Equation (3.21) displays a constant term plus two oscillating terms whose effects average to zero over times that are half multiples of the rf period or, more relevantly, for all times large compared to the rf period. The definition for an average over a time interval T is given by Edit PDF Adobe Acrobat Pro Easily edit text and images in PDF documents (3.22) < f(t) > dt f (t) Start Now With the details left as a problem for the reader, the primed-frame time averaged value of (3.21) is Send Files 1 primed Store Files (3.23) for constant bin Problem 3.2 f (t) Show that the average (3.22) over time interval T for f(t) = sin (nwt) cos (nwt) for any positive integer n is zero when or a) T 2mT/w for any positive integer or T = mT/w for even n) or when the following limit is taken b) Т> 2п/w The reduced amplitude bn in (3.23) is noteworthy. It implies that only half of the original linearly polarized field (3.15) amplitude is available in the rotating reference frame for tipping the spin. Also, (3.23) is still valid for a time dependent bn(t), provided it changes only over time scales much larger than the rf period 2T/w. It has been noted earlier that Llin(.
Transcribed Image Text:Robert_W_Brown;_Yu-Chung_N_Cheng;_E_Mark_Haacke;(z-lib.org).pdf - Adobe Reader File Edit View Window Help (77 of 978) Fill & Sign Tools Comment Оpen 43 100% Sign In Export PDF 3.2. The Rotating Frame for an RF Field 43 Create PDF Equation (3.21) displays a constant term plus two oscillating terms whose effects average to zero over times that are half multiples of the rf period or, more relevantly, for all times large compared to the rf period. The definition for an average over a time interval T is given by Edit PDF Adobe Acrobat Pro Easily edit text and images in PDF documents (3.22) < f(t) > dt f (t) Start Now With the details left as a problem for the reader, the primed-frame time averaged value of (3.21) is Send Files 1 primed Store Files (3.23) for constant bin Problem 3.2 f (t) Show that the average (3.22) over time interval T for f(t) = sin (nwt) cos (nwt) for any positive integer n is zero when or a) T 2mT/w for any positive integer or T = mT/w for even n) or when the following limit is taken b) Т> 2п/w The reduced amplitude bn in (3.23) is noteworthy. It implies that only half of the original linearly polarized field (3.15) amplitude is available in the rotating reference frame for tipping the spin. Also, (3.23) is still valid for a time dependent bn(t), provided it changes only over time scales much larger than the rf period 2T/w. It has been noted earlier that Llin(.
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