An 800-KHz Sinusoidal Radio Signal Is Detected at a Point $2.1 \mathrm {~km}$

question 48

Multiple Choice

An 800-kHz sinusoidal radio signal is detected at a point $2.1 \mathrm {~km}$ distant from a transmitter tower. The electric field amplitude of the signal at that point is $0.80 \mathrm {~V} / \mathrm { m }$ . 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? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , \mu _ { 0 } = \right.$ $\left. 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

• A) \(6.0 \times 10 ^ { - 4 } \mathrm {~W} / \mathrm { m } ^ { 2 }\)
• B) \(4.2 \times 10 ^ { - 4 } \mathrm {~W} / \mathrm { m } ^ { 2 }\)
• C) \(1.7 \times 10 ^ { - 3 } \mathrm {~W} / \mathrm { m } ^ { 2 }\)
• D) \(1.2 \times 10 ^ { - 3 } \mathrm {~W} / \mathrm { m } ^ { 2 }\)
• E) \(8.5 \times 10 ^ { - 4 } \mathrm {~W} / \mathrm { m } ^ { 2 }\)

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