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A Sinusoidal Electromagnetic Wave Is Propagating in Vacuum 0.45 W/m20.45 \mathrm {~W} / \mathrm { m } ^ { 2 }

Question 23

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A sinusoidal electromagnetic wave is propagating in vacuum. At a given point and at a particular time the electric field is in the +x direction and the magnetic field is in the -y direction, and at that point the intensity of the wave is 0.45 W/m20.45 \mathrm {~W} / \mathrm { m } ^ { 2 } (c=3.0×108 m/s\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right. μ0=4π×107 Tm/A,\mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , ε0=8.85×1012C2/Nm2)\left. \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right)
(a) What is the direction of propagation of the wave?
(b) What is the electric field amplitude at the given point?

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(a) -z dir...

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