5. To protect your new cabin in the woods, you have installed a TABLE 27.2 Resistivity and conductivity of conducting materials 5.0-m-tall iron lightning rod next to the cabin. Lightning bolts can carry up to 50kA of current and last up to 50us (5.0 x 10-5s). Resistivity Conductivity a. How much total charge is delivered by a lightning bolt with Material (2m) ('m-) these specifications? Aluminum 2.8 X 10-8 3.5 x 107 b. During this lightning strike, you need to keep the potential Сopper 1.7 × 10-8 6.0 x 107 difference between the top and bottom of the iron rod to 100V Gold 2.4 x 10-8 4.1 x 107 or less. To accomplish this, what minimum radius should the Iron 9.7 x 10-8 1.0 x 107 iron rod have? Silver 1.6 X 10-8 6.2 x 107 Tungsten 5.6 X 10-8 1.8 X 107 Nichrome* 1.5 x 10-6 6.7 x 105 Carbon 3.5 x 10-5 2.9 x 104 *Nickel-chromium alloy used for heating
5. To protect your new cabin in the woods, you have installed a TABLE 27.2 Resistivity and conductivity of conducting materials 5.0-m-tall iron lightning rod next to the cabin. Lightning bolts can carry up to 50kA of current and last up to 50us (5.0 x 10-5s). Resistivity Conductivity a. How much total charge is delivered by a lightning bolt with Material (2m) ('m-) these specifications? Aluminum 2.8 X 10-8 3.5 x 107 b. During this lightning strike, you need to keep the potential Сopper 1.7 × 10-8 6.0 x 107 difference between the top and bottom of the iron rod to 100V Gold 2.4 x 10-8 4.1 x 107 or less. To accomplish this, what minimum radius should the Iron 9.7 x 10-8 1.0 x 107 iron rod have? Silver 1.6 X 10-8 6.2 x 107 Tungsten 5.6 X 10-8 1.8 X 107 Nichrome* 1.5 x 10-6 6.7 x 105 Carbon 3.5 x 10-5 2.9 x 104 *Nickel-chromium alloy used for heating
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5. To protect your new cabin in the woods, you have installed a 5.0-m-tall iron lightning rod next to the cabin. Lightning bolts can carry up to 50 kA of current and last up to 50 μs (5.0 × 10⁻⁵ s).
a. How much **total charge** is delivered by a lightning bolt with these specifications?
b. During this lightning strike, you need to keep the potential difference between the top and bottom of the iron rod to 100 V or less. To accomplish this, **what minimum radius should the iron rod have?**
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**TABLE 27.2 Resistivity and conductivity of conducting materials**
| Material | Resistivity (Ω m) | Conductivity (Ω⁻¹ m⁻¹) |
|-------------|-------------------|------------------------|
| Aluminum | 2.8 × 10⁻⁸ | 3.5 × 10⁷ |
| Copper | 1.7 × 10⁻⁸ | 6.0 × 10⁷ |
| Gold | 2.4 × 10⁻⁸ | 4.1 × 10⁷ |
| Iron | 9.7 × 10⁻⁸ | 1.0 × 10⁷ |
| Silver | 1.6 × 10⁻⁸ | 6.2 × 10⁷ |
| Tungsten | 5.6 × 10⁻⁸ | 1.8 × 10⁷ |
| Nichrome* | 1.5 × 10⁻⁶ | 6.7 × 10⁵ |
| Carbon | 3.5 × 10⁻⁵ | 2.9 × 10⁴ |
*Nickel-chromium alloy used for heating wires.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb520c17-8305-428a-b4d1-cb4273cbb5b6%2F2d9dd887-b65c-4180-87bc-8bf54554685b%2Ftq1kn0m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Current**
5. To protect your new cabin in the woods, you have installed a 5.0-m-tall iron lightning rod next to the cabin. Lightning bolts can carry up to 50 kA of current and last up to 50 μs (5.0 × 10⁻⁵ s).
a. How much **total charge** is delivered by a lightning bolt with these specifications?
b. During this lightning strike, you need to keep the potential difference between the top and bottom of the iron rod to 100 V or less. To accomplish this, **what minimum radius should the iron rod have?**
---
**TABLE 27.2 Resistivity and conductivity of conducting materials**
| Material | Resistivity (Ω m) | Conductivity (Ω⁻¹ m⁻¹) |
|-------------|-------------------|------------------------|
| Aluminum | 2.8 × 10⁻⁸ | 3.5 × 10⁷ |
| Copper | 1.7 × 10⁻⁸ | 6.0 × 10⁷ |
| Gold | 2.4 × 10⁻⁸ | 4.1 × 10⁷ |
| Iron | 9.7 × 10⁻⁸ | 1.0 × 10⁷ |
| Silver | 1.6 × 10⁻⁸ | 6.2 × 10⁷ |
| Tungsten | 5.6 × 10⁻⁸ | 1.8 × 10⁷ |
| Nichrome* | 1.5 × 10⁻⁶ | 6.7 × 10⁵ |
| Carbon | 3.5 × 10⁻⁵ | 2.9 × 10⁴ |
*Nickel-chromium alloy used for heating wires.
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