An electromagnetic wave is traveling in a vacuum. At a particular instant for this wave, E = [(32.0)î + (-64.0)j + (80.0)k] N/C, and = [(0.160)î + (0.580)ĵ + (0.400)k] HT. (a) Calculate the following quantities. (Give your answers, in µT · N/C, to at least three decimal places.) EB, = 5.12 µT· N/C EBy |-37.12 µT · N/C EB, 32 µT · N/C EB, + EB, + EB, HT · N/C Are the two fields mutually perpendicular? How do you know? Yes, because their dot product is not equal to zero. No, because their dot product is equal to zero. No, because their dot product is not equal to zero. Yes, because their dot product is equal to zero. (b) Determine the component representation of the Poynting vector (in w/m2) for these fields. S =
An electromagnetic wave is traveling in a vacuum. At a particular instant for this wave, E = [(32.0)î + (-64.0)j + (80.0)k] N/C, and = [(0.160)î + (0.580)ĵ + (0.400)k] HT. (a) Calculate the following quantities. (Give your answers, in µT · N/C, to at least three decimal places.) EB, = 5.12 µT· N/C EBy |-37.12 µT · N/C EB, 32 µT · N/C EB, + EB, + EB, HT · N/C Are the two fields mutually perpendicular? How do you know? Yes, because their dot product is not equal to zero. No, because their dot product is equal to zero. No, because their dot product is not equal to zero. Yes, because their dot product is equal to zero. (b) Determine the component representation of the Poynting vector (in w/m2) for these fields. S =
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An electromagnetic wave is traveling in a vacuum. At a particular instant for this wave,
E = [(32.0)î + (−64.0)ĵ + (80.0)] N/C,
and
B = [(0.160)î + (0.580)ĵ + (0.400)] µT.
(a)
Calculate the following quantities. (Give your answers, in µT · N/C, to at least three decimal places.) Determine the component representation of the Poynting vector (in W/m2) for these fields.
![An electromagnetic wave is traveling in a vacuum. At a particular instant for this wave, E = [(32.0)î + (-64.0)ĵ + (80.0)k] N/C, and
B = [(0.160)î + (0.580)ĵ + (0.400)k] µt.
(a) Calculate the following quantities. (Give your answers, in µT · N/C, to at least three decimal places.)
EB, = 5.12
V HT · N/C
EBy
µT · N/C
-37.12
EB,
32
V HT · N/C
EBx + E,B, + EBz
V µT · N/C
Are the two fields mutually perpendicular? How do you know?
O Yes, because their dot product is not equal to zero.
O No, because their dot product is equal to zero.
O No, because their dot product is not equal to zero.
O Yes, because their dot product is equal to zero.
(b) Determine the component representation of the Poynting vector (in W/m2) for these fields.
Apply the definition of the Poynting vector and cross product. W/m2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f63f755-ca8c-44dd-855c-68cc433e031d%2Fcd3c6bb9-dea7-4d68-a006-284ad39a9182%2F4pj0lxo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An electromagnetic wave is traveling in a vacuum. At a particular instant for this wave, E = [(32.0)î + (-64.0)ĵ + (80.0)k] N/C, and
B = [(0.160)î + (0.580)ĵ + (0.400)k] µt.
(a) Calculate the following quantities. (Give your answers, in µT · N/C, to at least three decimal places.)
EB, = 5.12
V HT · N/C
EBy
µT · N/C
-37.12
EB,
32
V HT · N/C
EBx + E,B, + EBz
V µT · N/C
Are the two fields mutually perpendicular? How do you know?
O Yes, because their dot product is not equal to zero.
O No, because their dot product is equal to zero.
O No, because their dot product is not equal to zero.
O Yes, because their dot product is equal to zero.
(b) Determine the component representation of the Poynting vector (in W/m2) for these fields.
Apply the definition of the Poynting vector and cross product. W/m2
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