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An electromagnetic wave has a frequency of 110 MHZ and is travelling in a vacuum. The...
1. The electric field of an electromagnetic wave traveling through vacuum is the following: 5.90x1 :...
1. The electric field of an electromagnetic wave traveling through vacuum is the following: 5.90x1 : + a. Draw a qualitative sketch of this E function for t = 0. Add the B field as well to complete the EM wave. Be sure to label the axes. Don't worry about your drawing ability. b. What is the magnitude of the magnetic field B.? C. What is the wavelength of the EM wave? d. What is the frequency of the EM...
| An electromagnetic wave travelling in the positive x-direction in vacuum has a wavelength of 425...
| An electromagnetic wave travelling in the positive x-direction in vacuum has a wavelength of 425 nm and an energy density of 2,0x10 J/m? The ware's electric field oscillates in the y-direction, a.) Write a fitted vector equation for the electric field have associated with this wave b.) What is the intensity of the wave? (1) What is the frequency of the wave? di) What is the amplitude of the magnetic field associated with the wave? ei) If a stationary...
A plane monochromatic electromagnetic wave with wavelength 1 = 4.1 cm, propagates through a vacuum. Its...
A plane monochromatic electromagnetic wave with wavelength 1 = 4.1 cm, propagates through a vacuum. Its magnetic field is described by B = (Bxi+Byj) cos(kz + wt) where Bx = 2 x 10-6 T, By = 3.4 x 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 3) What is Sy, the z-component of the Poynting vector at (x = 0, y = 0, z = 0) at t = 0? W/m2...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
Electromagnetic Waves 2 1 2 3 4 A plane monochromatic electromagnetic wave with wavelength 1 =...
Electromagnetic Waves 2 1 2 3 4 A plane monochromatic electromagnetic wave with wavelength 1 = 2.6 cm, propagates through a vacuum. Its magnetic field is described by B = (B,i+Byj) cos(kx + wt) where B, = 2.7 x 10-6 T, B, - 5.9 X 106T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is f, the frequency of this wave? 0 GHz Submit 2) What is I, the intensity of...
4. (8 Points) An electromagnetic wave, with a frequency of f-100 MHz, is traveling through vacuum...
4. (8 Points) An electromagnetic wave, with a frequency of f-100 MHz, is traveling through vacuum in a direction we can call the x-axis. At t = 0, the electric field due to this wave at x = 0 has a magnitude of 300 V/m. a. Determine the wavelength of this wave. b. If this wave entered your eye would you see anything; explain why or why not. What region of the electromagnetic spectrum does this wave occupy? e. Determine...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē = E,...
Question 2: For an electromagnetic plane wave, the electric field is given by:$$ \vec{E}=E_{0} \cos (k z+\omega t) \hat{x}+0 \hat{y}+0 \hat{z} $$a) Determine the direction of propagation of the electromagnetic wave.b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave \(\vec{B}\).c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense?d) If the amplitude of the magnetic field was measured to be \(2.5 * 10^{-7} \mathrm{~T}\),...
#4 part a,b,c 4. An electromagnetic wave with a frequency of 100,0 MHz, İs traveling direction....
#4 part a,b,c
4. An electromagnetic wave with a frequency of 100,0 MHz, İs traveling direction. Att-0 s, the electric field due to this wave of 300.0 V/m. through a vacuum in x- (i) What is the wavelength of this wave? a. 1.0 m b. 2.0 m c, 3.0 m d. 4.0 m (ii) What is the amplitude of the magnetic field due to this wave? a, 1.0 μΤ b, 2.0 μ T c. 3.0 uT d. 4.0 HT (iii)...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a vacuum in the +z-direction with wavenumber k and angular frequency . It is linearly polarised in the x-direction, and has electric field given by E(t, z) Eo Cos(kz - wt)f This wave is normally incident on a perfectly electrically conducting, semi-infinite slab in the region z > 0 and the resulting field in vacuum (z < 0) is a superposition of the incident and...
4.10P) A plane wave of frequency 900 MHz is and travelling along -y direction with the...
4.10P) A plane wave of frequency 900 MHz is and travelling along -y direction with the electric field amplitude of 300 V/m (in vacuum). The value of electric field is -300 V at t=0 and y=0. Choose a magnetic field direction and define the polarization. Write the wave equation of the electric and magnetic field.
1. The electric field of an electromagnetic wave traveling through vacuum is the following: 5.90x1 : + a. Draw a qualitative sketch of this E function for t = 0. Add the B field as well to complete the EM wave. Be sure to label the axes. Don't worry about your drawing ability. b. What is the magnitude of the magnetic field B.? C. What is the wavelength of the EM wave? d. What is the frequency of the EM...
| An electromagnetic wave travelling in the positive x-direction in vacuum has a wavelength of 425 nm and an energy density of 2,0x10 J/m? The ware's electric field oscillates in the y-direction, a.) Write a fitted vector equation for the electric field have associated with this wave b.) What is the intensity of the wave? (1) What is the frequency of the wave? di) What is the amplitude of the magnetic field associated with the wave? ei) If a stationary...
A plane monochromatic electromagnetic wave with wavelength 1 = 4.1 cm, propagates through a vacuum. Its magnetic field is described by B = (Bxi+Byj) cos(kz + wt) where Bx = 2 x 10-6 T, By = 3.4 x 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 3) What is Sy, the z-component of the Poynting vector at (x = 0, y = 0, z = 0) at t = 0? W/m2...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
Electromagnetic Waves 2 1 2 3 4 A plane monochromatic electromagnetic wave with wavelength 1 = 2.6 cm, propagates through a vacuum. Its magnetic field is described by B = (B,i+Byj) cos(kx + wt) where B, = 2.7 x 10-6 T, B, - 5.9 X 106T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is f, the frequency of this wave? 0 GHz Submit 2) What is I, the intensity of...
4. (8 Points) An electromagnetic wave, with a frequency of f-100 MHz, is traveling through vacuum in a direction we can call the x-axis. At t = 0, the electric field due to this wave at x = 0 has a magnitude of 300 V/m. a. Determine the wavelength of this wave. b. If this wave entered your eye would you see anything; explain why or why not. What region of the electromagnetic spectrum does this wave occupy? e. Determine...
Question 2: For an electromagnetic plane wave, the electric field is given by:$$ \vec{E}=E_{0} \cos (k z+\omega t) \hat{x}+0 \hat{y}+0 \hat{z} $$a) Determine the direction of propagation of the electromagnetic wave.b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave \(\vec{B}\).c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense?d) If the amplitude of the magnetic field was measured to be \(2.5 * 10^{-7} \mathrm{~T}\),...
#4 part a,b,c
4. An electromagnetic wave with a frequency of 100,0 MHz, İs traveling direction. Att-0 s, the electric field due to this wave of 300.0 V/m. through a vacuum in x- (i) What is the wavelength of this wave? a. 1.0 m b. 2.0 m c, 3.0 m d. 4.0 m (ii) What is the amplitude of the magnetic field due to this wave? a, 1.0 μΤ b, 2.0 μ T c. 3.0 uT d. 4.0 HT (iii)...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a vacuum in the +z-direction with wavenumber k and angular frequency . It is linearly polarised in the x-direction, and has electric field given by E(t, z) Eo Cos(kz - wt)f This wave is normally incident on a perfectly electrically conducting, semi-infinite slab in the region z > 0 and the resulting field in vacuum (z < 0) is a superposition of the incident and...
4.10P) A plane wave of frequency 900 MHz is and travelling along -y direction with the electric field amplitude of 300 V/m (in vacuum). The value of electric field is -300 V at t=0 and y=0. Choose a magnetic field direction and define the polarization. Write the wave equation of the electric and magnetic field.
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