Chapter 29: Problem 7
Turning a TV antenna so its rods point vertically may change the quality of your TV reception. Why?
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Chapter 29: Problem 7
Turning a TV antenna so its rods point vertically may change the quality of your TV reception. Why?
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A cylindrical resistor of length \(L\), radius \(a\), and resistance \(R\) carries current \(I\). Calculate the electric and magnetic fields at the surface of the resistor, assuming the electric field is uniform over the surface. Calculate the Pointing vector and show that it points into the resistor. Calculate the flux of the Pointing vector (that is, \(\int \vec{S} \cdot d \vec{A}\) ) over the resistor's surface to get the rate of electromagnetic energy flow into the resistor, and show that the result is \(I^{2} R\) Your result shows that the energy heating the resistor comes from the fields surrounding it. These fields are sustained by the source of electric energy that drives the current.
What are the wavelengths of (a) a \(100-\) MHz FM radio wave, (b) a 5.0 - GHz WiFi signal, (c) a 600 -THz light wave, and (d) a \(1.0-\) EHz X ray?
If a sunlight-powered sailing spacecraft accelerated at \(1 \mathrm{m} / \mathrm{s}^{2}\) in the vicinity of Earth's orbit, what would be its acceleration at Mars, about 1.5 times as far from the Sun as Earth? a. about \(0.25 \mathrm{m} / \mathrm{s}^{2}\) b. a little less than \(0.5 \mathrm{m} / \mathrm{s}^{2}\) c. a little more than \(0.5 \mathrm{m} / \mathrm{s}^{2}\) d. about \(0.66 \mathrm{m} / \mathrm{s}^{2}\)
If you double the field strength in an electromagnetic wave, what happens to the intensity?
The fields of an electromagnetic wave are \(\vec{E}=E_{p} \sin (k z+\omega t) \hat{\jmath}\) and \(\vec{B}=B_{\mathrm{p}} \sin (k z+\omega t) \hat{\imath} .\) Give a unit vector in the wave's propagation direction.
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