The magnetic field B(z, t)of an electromagnetic wave is given by B(z, t) = [(9.15 x 10-9T)jsin(3.25 x 10ʻrad/m)z + wt). ) What is the wave number of the wave? %3D (i) What is the frequency of the wave? (ii) Write the vector equation for electric field. O a. (1) k = 3.25 x 10°rad/m (ii)f = 1.55 x 1012 Hz (iii) E = +(2.75V/m)sin((3.25 x 10°rad\m)z + (9.74 x 1012)t)k O b. (i) k = 3.25 x 10°rad/m (ii)f = 1.55 x 1012 Hz (iii) Ě =-(2.75V/m)sin((3.25 x 10°rad\m)z + (9.74 x 1012)t)j O . (1i) k = 3.25 x 10ʻrad/m (ii)f = 1.55 x 10" Hz (iii) Ě = +(2.75V/m)sin((3.25 × 10ʻrad\m)z+ (9.74 x 1012)t)k O d. (i) k = 3.25 x 10ʻrad/m (ii)f = 1.55 x 10" Hz (iii) E =-(2.75V/m)sin((3.25 x 10ʻrad\m)z + (9.74 x 1012)t)j %3D O e. (1) k = 3.25 x 10ʻrad/m (ii)f = 1.55 x 10"Hz (iii) Ē = +(2.75V/m)sin((3.25 x 10ʻrad\m)x + (9.74 x 102)t)k

University Physics Volume 2
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Chapter16: Electromagnetic Waves
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Problem 58P: The magnetic field of a plane electromagnetic wave moving along the z axis is given by B...
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The magnetic field B(z,t)of an electromagnetic wave is given by B(z,t) = [(9.15 x 10-9T) jsin(3.25 × 104rad/m)z + wt].
O What is the wave number of the wave?
(ii) What is the frequency of the wave?
(iii) Write the vector equation for electric field.
O a. (i) k = 3.25 × 10°rad/m (ii)f = 1.55 x 1012HZ (iii) Ē = +(2.75V/m)sin((3.25 x 10°rad\m)z+ (9.74 x 1012 )t)k
O b. (i) k = 3.25 x 10°rad/m (ii)f = 1.55 x 101ºHZ (iii) Ē = -(2.75V/m)sin((3.25 × 10°rad\m)z + (9.74 x 1012 )t)3
O . (i) k = 3.25 x 10ʻrad/m (ii)f =1.55 x 10"Hz (ii) E = +(2.75V/m)sin((3.25 x 10ʻrad\m)z+ (9.74 x 1012 )t)k
O d. (i) k = 3.25 × 10ʻrad/m (ii)f = 1.55 x 10" Hz (iii) Ē = –(2.75V/m)sin((3.25 x 10ʻrad\m)r+ (9.74 x 10)t)j
O e. (i) k = 3.25 x 10ʻrad/m (ii)f = 1.55 x 101ºHZ (iii) Ē = +(2.75V/m)sin((3.25 x 10ʻrad\m)z + (9.74 x 102)t)k
Transcribed Image Text:The magnetic field B(z,t)of an electromagnetic wave is given by B(z,t) = [(9.15 x 10-9T) jsin(3.25 × 104rad/m)z + wt]. O What is the wave number of the wave? (ii) What is the frequency of the wave? (iii) Write the vector equation for electric field. O a. (i) k = 3.25 × 10°rad/m (ii)f = 1.55 x 1012HZ (iii) Ē = +(2.75V/m)sin((3.25 x 10°rad\m)z+ (9.74 x 1012 )t)k O b. (i) k = 3.25 x 10°rad/m (ii)f = 1.55 x 101ºHZ (iii) Ē = -(2.75V/m)sin((3.25 × 10°rad\m)z + (9.74 x 1012 )t)3 O . (i) k = 3.25 x 10ʻrad/m (ii)f =1.55 x 10"Hz (ii) E = +(2.75V/m)sin((3.25 x 10ʻrad\m)z+ (9.74 x 1012 )t)k O d. (i) k = 3.25 × 10ʻrad/m (ii)f = 1.55 x 10" Hz (iii) Ē = –(2.75V/m)sin((3.25 x 10ʻrad\m)r+ (9.74 x 10)t)j O e. (i) k = 3.25 x 10ʻrad/m (ii)f = 1.55 x 101ºHZ (iii) Ē = +(2.75V/m)sin((3.25 x 10ʻrad\m)z + (9.74 x 102)t)k
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