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3. a. Suppose that E = 6 Vim throughout some region of space. Can you conclude that V 0 V in this region? Explain b Suppose that V= 0 V throughout some region of space Can you conclude that E: 0 Vim 1n this region? Explain. 9. The two metal spheres in FIGURE (225.9 are connected by a metal wire with a switch in the middle. Initially the switch is open. Sphere l. with the larger radius. is given a positive charge. Sphere 2, with the smaller radius, is neutral. Then the switch is closed. Afterward. sphere 1 has charge Q. is at potential V.. and the electric eld strength at its surface is El. The values for sphere 2 are Q3, V3. and E}. a. 15 1/. larger than, smaller than. or equal to V2? Explain. b. 15 Q] larger than. smaller than. or equal to (2;? Explain. c. 15 E1 larger than, smaller than, or equal to E3? Explain. 41. || Energetic particles, such as protons. can be detected with a silicon detector. When a particle strikes a thin piece of silicon, it creates a large number of free electrons by ionizing silicon atoms. The electrons flow to an electrode on the surface of the detector, and this current is then amplified and detected. In one experiment, each incident proton creates, on average. 35,000 electrons; the electron current is amplified by a factor of 100; and the experimenters record an amplified current of 3.5 pA. How many protons are striking the detector per second? 44. II In a classic model of the hydrogen atom, the electron moves around the proton in a circular orbit of radius 0.053 nm. a. What is the electron's orbital frequency? b. What is the effective current of the electron?u vd = 2.0 X 10" :rm's Nichrome I = 211A LO mm Aluminum 2.0 mm [.0 mm diameter FIGURE P2162 FIGURE P2163 63. I What diameter should the nichrome wire in FIGURE P2153 be in order for the electric field strength to be the same in both wires