Chapter 31: Q. 18 (page 901)

A radio receiver can detect signals with electric field amplitudes as small as $300 μV / m$ . What is the intensity of the smallest detectable signal $?$

Short Answer

Expert verified

Intensity of the smallest detectable signal is $1.19532 \times 10^{- 10} W / m^{2}$ .

Step by step solution

Formula for intensity

Intensity is,

$I = \frac{1}{2} E_{o} {|E_{o}|}^{2} c$

$E_{0}$ is Electric field amplitude.

localid="1648922508504" $c$ -Speed of the light in vacuum,

localid="1648922516996" $c = 3 \times 10^{8} m / s$

Calculation for intensity of the signal

As it stands,

$|E_{o_{\min}}| = 300 μV / m$

$c = 3 \times 10^{8} m / s$

$I = \frac{1}{2} E_{o} {|E_{o}|}^{2} c$

localid="1648786141912">I=12300|300|2×3×108

$I = 1.19532 \times 10^{- 10} W / m^{2}$

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A radio receiver can detect signals with electric field amplitudes as small as $300 μV / m$ . What is the intensity of the smallest detectable signal $?$

Short Answer

Step by step solution

Formula for intensity

Calculation for intensity of the signal

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A radio receiver can detect signals with electric field amplitudes as small as 300μV/m. What is the intensity of the smallest detectable signal?

Short Answer

Step by step solution

Formula for intensity

Calculation for intensity of the signal

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Thermodynamics

Force

Atoms and Radioactivity

Wave Optics

Work Energy and Power

Astrophysics

Study anywhere. Anytime. Across all devices.

A radio receiver can detect signals with electric field amplitudes as small as $300 μV / m$ . What is the intensity of the smallest detectable signal $?$