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Aluminum has &=&o, H=₁, and o=3.54x10'S/m. Suppose we want to make an antenna for UHF reception out of an inexpensive wood dowel coated with a thin layer of aluminum. Is ordinary household aluminum foil thick enough for this purpose? The aluminum foil in the supermarket is about 1mil (0.001 inch) thick, or 25.4 μm. Assume a typical UHF frequency of f= 1.0 GHz. (Hint: the thickness of this aluminum layer need only be a few skin depths (~38) at that frequency.....any more is just a waste of metal!)

Aluminum has &=&o, H=₁, and o=3.54x10'S/m. Suppose we want to make an antenna for UHF reception out of an inexpensive wood dowel coated with a thin layer of aluminum. Is ordinary household aluminum foil thick enough for this purpose? The aluminum foil in the supermarket is about 1mil (0.001 inch) thick, or 25.4 μm. Assume a typical UHF frequency of f= 1.0 GHz. (Hint: the thickness of this aluminum layer need only be a few skin depths (~38) at that frequency.....any more is just a waste of metal!)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Electromagnetic Properties of Aluminum for Antenna Applications** Aluminum is known to possess particular electromagnetic properties with permittivity \( \varepsilon = \varepsilon_0 \), permeability \( \mu = \mu_0 \), and conductivity \( \sigma = 3.54 \times 10^7 \, \text{S/m} \). Consider the creation of a UHF (Ultra High Frequency) reception antenna using a wood dowel coated with a thin aluminum layer. A common inquiry is whether the thickness of household aluminum foil is sufficient for this purpose. **Household Aluminum Foil Thickness:** - The typical thickness of supermarket aluminum foil is approximately 1 mil (0.001 inches) or 25.4 micrometers (µm). **UHF Frequency Considerations:** - Assume a standard UHF frequency of \( f = 1.0 \, \text{GHz} \). - **Skin Depth Calculation:** For effective reception, the aluminum layer needs to be a few skin depths (~ 3δ) at this frequency. **Conclusion:** While additional thickness may not significantly enhance performance, using more than the necessary skin depth can lead to an inefficient use of metal. *Note: Understanding skin depth and the electromagnetic properties of materials is crucial for optimizing antenna design and ensuring efficient signal reception.*
Transcribed Image Text:**Electromagnetic Properties of Aluminum for Antenna Applications** Aluminum is known to possess particular electromagnetic properties with permittivity \( \varepsilon = \varepsilon_0 \), permeability \( \mu = \mu_0 \), and conductivity \( \sigma = 3.54 \times 10^7 \, \text{S/m} \). Consider the creation of a UHF (Ultra High Frequency) reception antenna using a wood dowel coated with a thin aluminum layer. A common inquiry is whether the thickness of household aluminum foil is sufficient for this purpose. **Household Aluminum Foil Thickness:** - The typical thickness of supermarket aluminum foil is approximately 1 mil (0.001 inches) or 25.4 micrometers (µm). **UHF Frequency Considerations:** - Assume a standard UHF frequency of \( f = 1.0 \, \text{GHz} \). - **Skin Depth Calculation:** For effective reception, the aluminum layer needs to be a few skin depths (~ 3δ) at this frequency. **Conclusion:** While additional thickness may not significantly enhance performance, using more than the necessary skin depth can lead to an inefficient use of metal. *Note: Understanding skin depth and the electromagnetic properties of materials is crucial for optimizing antenna design and ensuring efficient signal reception.*
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