Exam 30: Changing Electric Fields

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An electromagnetic wave propagates along the +y direction as shown in the figure.If the electric field at the origin is along the +z direction,what is the direction of the magnetic field? An electromagnetic wave propagates along the +y direction as shown in the figure.If the electric field at the origin is along the +z direction,what is the direction of the magnetic field?

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D

A laser with a power of 1.0 mW has a beam radius of 1.0 mm.What is the peak value of the electric field in that beam? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

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In an electromagnetic wave,the electric and magnetic fields are oriented such that they are

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C

An 800-kHz radio signal is detected at a point 2.7 km distant from a transmitter tower.The electric field amplitude of the signal at that point is 0.36 V/m.Assume that the signal power is radiated uniformly in all directions and that radio waves incident upon the ground are completely absorbed.What is the intensity of the radio signal at that point? (c = 3.00 × 108 m/s,μ0 = 4π × 10-7 T • m/A, Ε0 = 8.85 × 10-12 C2/N ∙ m2)

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If the electric field and magnetic field of an electromagnetic wave are given by E = E0 sin(kx - ωt)and B = B0 sin(kx - ωt),and if the value of E0 is 51 µV/m,what is the value of B0? (c = 3.0 × 108 m/s)

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An electromagnetic wave is propagating towards the west.At a certain moment the direction of the magnetic field vector associated with this wave points vertically up.The direction of the electric field vector of this wave is

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The magnitude of the electric field at a point P for a certain electromagnetic wave is 570 N/C.What is the magnitude of the magnetic field for that wave at P? (c = 3.0 × 108 m/s)

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Near the earth the intensity of radiation from the sun is 1.35 kW/m2.What volume of space in this region contains 1.0 J of electromagnetic energy? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A, Ε0 = 8.85 × 10-12 C2/N • m2)

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If a beam of electromagnetic radiation has an intensity of 120 W/m2,what is the maximum value of the electric field? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

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A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by   = (0.082 V/m)   ) What is the Poynting vector at the point P at that instant? (c = 3.0 × 10<sup>8</sup> m/s,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N • m<sup>2</sup>) = (0.082 V/m) A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by   = (0.082 V/m)   ) What is the Poynting vector at the point P at that instant? (c = 3.0 × 10<sup>8</sup> m/s,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N • m<sup>2</sup>) ) What is the Poynting vector at the point P at that instant? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

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The y-component of the electric field of an electromagnetic wave traveling in the +x direction through vacuum obeys the equation Ey = (375 N/C)cos[kx - (2.20 × 1014 rad/s)t].(c = 3.0 × 108 m/s) (a)What is the largest that the x-component of the wave can be? (b)What is the largest that the z-component of the wave can be?

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A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by   = (0.082 V/m)   )What is the magnetic vector of the wave at the point P at that instant? (c = 3.0 × 10<sup>8</sup> m/s) = (0.082 V/m) A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by   = (0.082 V/m)   )What is the magnetic vector of the wave at the point P at that instant? (c = 3.0 × 10<sup>8</sup> m/s) )What is the magnetic vector of the wave at the point P at that instant? (c = 3.0 × 108 m/s)

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A very small source of light that radiates uniformly in all directions produces an electric field amplitude of 2.96 V/m at a point 33.0 m from the source.What is the power output from the source? (c = 3.00 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

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A 7.5 × 1014 Hz laser emits a 7.7-μs pulse,5.0 mm in diameter,with a beam energy density of 0.51 J/m3. What is the amplitude of the electric field of the emitted waves? (c = 3.00 × 108 m/s, Μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

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If an electromagnetic wave has components Ey = E0 sin(kx - ωt)and Bz = B0 sin(kx - ωt),in what direction is it traveling?

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The magnetic field of an electromagnetic wave has a peak value of 5.0 × 10-10 T.What is the intensity of the wave? (c = 3.0 × 108 m/s,c = 3.00 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

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A sinusoidal electromagnetic wave is propagating in vacuum.At a given point P and at a particular time,the electric field is in the +x direction and the magnetic field is in the -y direction. (a)What is the direction of propagation of the wave? (b)If the intensity of the wave at point P is 0.36 W/m2,what is the electric field amplitude at that point? (c = 3.00 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

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If the z-component of the magnetic field of an electromagnetic wave traveling in the +x direction through vacuum obeys the equation Bz(x,t)= (1.25 μT)cos[(3800 m-1)x - (1.14 × 10-12 rad/s)t],what is the largest that the y component of the electric field can be? (c = 3.0 × 108 m/s)

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If the intensity of an electromagnetic wave is 80 MW/m2,what is the amplitude of the magnetic field of this wave? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

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An electromagnetic wave has a peak electric field of 3.0 kV/m.What is the intensity of the wave? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

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