**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.

Current is defined as the flow of charge through a conductor in a unit time. It is given by, I=qt…

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