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If i could get help with 12-15 and 29-33 it would be greatly appreciated.

byers (bwb826) – HW 9 – labun – (55775) 1 This print-out should have 33 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 (part 1 of 5) 10.0 points Consider a monochromatic electromagnetic plane wave propagating in the z direction. At a particular point in space, the magnitude oF the electric feld has an instantaneous value oF 488 V / m in the positive x -direction. The wave is traveling in the positive z -direction. z x y E wave propagation ±ind the instantaneous magnitude oF the magnetic feld at the same point and time. The speed oF light is 2 . 99792 × 10 8 m / s, the permeability oF Free space is 4 π × 10 7 m · N / A and the permittivity oF Free space 8 . 85419 × 10 12 C 2 / N · m 2 . Answer in units oF T. 002 (part 2 of 5) 10.0 points What is the instantaneous magnitude oF the Poynting vector at the same point and time? Answer in units oF W / m 2 . 003 (part 3 of 5) 10.0 points What are the directions oF the instantaneous magnetic feld and the instantaneous Poynt- ing vector respectively? 1. h B = ˆ and h S = ˆ k 2. h B = ˆ ı and h S = ˆ k 3. h B = ˆ + ˆ k and h S = ˆ ı 4. h B = ˆ and h S = ˆ ı 5. h B = ˆ ı and h S = ˆ 6. h B = ˆ ı and h S = ˆ k 7. h B = ˆ k ı and h S = ˆ 8. h B = ˆ k and h S = ˆ 9. h B = ˆ and h S = ˆ k ı 10. h B = ˆ k and h S = ˆ ı 004 (part 4 of 5) 10.0 points What is the instantaneous value oF the energy density oF the electric feld? Answer in units oF J / m 3 . 005 (part 5 of 5) 10.0 points What is the instantaneous value oF the energy density oF the magnetic feld? Answer in units oF J / m 3 . 006 (part 1 of 3) 10.0 points A plane electromagnetic wave is generated due to the initiation oF current along the y direction in a current sheet in the xy plane at z = 0. A steady ²ow current is switched on at t = 0. This current sheet generates a traveling “Front” oF the electric and magnetic felds. z x y infnite current sheet in x, y plane Current is in - y direction, as shown by arrows. P z Consider the case at the instant when the “Front” is at the point P z on the positive z axis. Determine the direction oF v B at P z . 1. h B P is in the - y direction 2. h B P is in the + z direction 3. h B P is in the + y direction
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byers (bwb826) – HW 9 – labun – (55775) 2 4. h B P is in the - z direction 5. h B P is in the - x direction 6. h B P is in the + x direction 007 (part 2 of 3) 10.0 points Determine the direction of the Poynting vec- tor v S at P z . 1. h S P is in the - x direction 2. h S P is in the - y direction 3. h S P is in the + x direction 4. h S P is in the + z direction 5. h S P is in the - z direction 6. h S P is in the + y direction 008 (part 3 of 3) 10.0 points Determine the direction of v E at P z . 1. h E P is in the - z direction 2. h E P is in the - y direction 3. h E P is in the - x direction 4. h E P is in the + y direction 5. h E P is in the + x direction 6. h E P is in the + z direction 009 10.0 points Gamma-ray bursters are objects in the uni- verse that emit pulses of gamma rays with high energies. The frequency of the most en- ergetic bursts has been measured at around 3 . 0 × 10 21 Hz. The speed of light is 3 × 10 8 m / s. What is the wavelength of these gamma rays? Answer in units of m. 010 (part 1 of 3) 10.0 points A point light source S produces radiative power P = 74 . 9 W . It radiates light isotrop- ically. A mirror is placed at point B , which is a distance 1 . 69 m away from the source S . The mirror has a cross section of 1 . 36 cm 2 . Make the approximation that all the light hit- ting the mirror comes in perpendicular to it. The mirror is a totally reFecting surface. The permittivity of free space is 8 . 85419 × 10 12 C 2 / N · m 2 and the speed of light is 2 . 99792 × 10 8 m / s . r S X Determine the light intensity I at point X . 1. I = 2 π r 2 P 2. I = P π 4 r 2 3. I = P 2 π r 2 4. I = P π r 2 5. I = 4 π r 2 P 6. I = P 4 π r 2 7. I = π r 2 P 8. I = 4 π r 2 P 011 (part 2 of 3) 10.0 points ±ind the total force on the mirror. Answer in units of N. 012 (part 3 of 3) 10.0 points Calculate the maximum electric ²eld of the oscillatory electromagnetic wave at X . Answer in units of V / m. 013 (part 1 of 3) 10.0 points
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