Consider a monochromatic electromagnetic plane wave propagating in the x direction. At a particular point in space, the magnitude of the electric field has an instantaneous value of 15.4 V/m in the positive y-direction. The wave is traveling in the positive x-direction. y E wave propagation x The speed of light is 2.99792 × 108 m/s, the permeability of free space is 47 x 10-7 T N/A and the permittivity of free space 8.85419 × 10-12 C²/N m². Compute the instantaneous magnitude of the magnetic field at the same point and time. Answer in units of T. What is the instantaneous magnitude of the

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Consider a monochromatic electromagnetic
plane wave propagating in the x direction. At
a particular point in space, the magnitude of
the electric field has an instantaneous value
of 15.4 V/m in the positive y-direction. The
wave is traveling in the positive x-direction.
Y
E
wave propagation
X
The speed of light is 2.99792 × 108 m/s, the
permeability of free space is 47x10-7 T - N/A
and the permittivity of free space 8.85419 ×
10-¹2 C²/N m².
Compute the instantaneous magnitude of
the magnetic field at the same point and time.
Answer in units of T.
What is the instantaneous magnitude of the
Transcribed Image Text:Consider a monochromatic electromagnetic plane wave propagating in the x direction. At a particular point in space, the magnitude of the electric field has an instantaneous value of 15.4 V/m in the positive y-direction. The wave is traveling in the positive x-direction. Y E wave propagation X The speed of light is 2.99792 × 108 m/s, the permeability of free space is 47x10-7 T - N/A and the permittivity of free space 8.85419 × 10-¹2 C²/N m². Compute the instantaneous magnitude of the magnetic field at the same point and time. Answer in units of T. What is the instantaneous magnitude of the
Poynting vector at the same point and time?
Answer in units of W/m².
What are the directions of the instanta-
neous magnetic field and the instantaneous
Poynting vector respectively?
1. B
and S=k
2. B
and S = k
3. B = î+ĵ and Sk
4. Bk and Si
=
5. B=k+i and S = 3
6. B
and ŝ=i
7. Bk
and S=j
=
8.
B = 3 + k and Si
9. Bk and S=i+j
10. B
and S=3
What is the instantaneous value of the en-
ergy density of the electric field?
Answer in units of J/m³.
What is the instantaneous value of the en-
ergy density of the magnetic field?
Answer in units of J/m³.
Transcribed Image Text:Poynting vector at the same point and time? Answer in units of W/m². What are the directions of the instanta- neous magnetic field and the instantaneous Poynting vector respectively? 1. B and S=k 2. B and S = k 3. B = î+ĵ and Sk 4. Bk and Si = 5. B=k+i and S = 3 6. B and ŝ=i 7. Bk and S=j = 8. B = 3 + k and Si 9. Bk and S=i+j 10. B and S=3 What is the instantaneous value of the en- ergy density of the electric field? Answer in units of J/m³. What is the instantaneous value of the en- ergy density of the magnetic field? Answer in units of J/m³.
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