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Ch 16 hw 4

# Ch 16 hw 4 - 1 4/4 points | 1/5 submissions Last Response |...

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1. 4/4 points | 1/5 submissions Last Response | Show Details All Responses Notes A highly charged piece of metal (with uniform potential throughout) tends to spark at places where the radius of curvature is small, or at places where there are sharp points. The breakdown electric field strength for air is about 3 10 6 V/m. (a) What is the maximum possible potential of a metal sphere of 17 cm radius in air? (That is, what is the potential at the surface of the sphere, relative to infinity?) 510000 [5.10e+05] volts (b) What is the maximum possible potential of a metal sphere of only 0.4 mm radius? 1200 [1200] volts Solution or Explanation At the surface of the sphere, E = 3e6 V/m. Solve for q, then find V at the surface of the sphere. 2. 8/8 points | 5/5 submissions Last Response | Show Details All Responses Notes Figure 16.70 An isolated large-plate capacitor (not connected to anything) originally has a potential difference of 970 volts with an air gap of 2 mm. Then a plastic slab 1 mm thick, with dielectric constant 4.3 , is inserted into the middle of the air gap as shown in Figure 16.70. As shown in the diagram, location 1 is at the left plate of the capacitor, location 2 is at the

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