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49. || Metal sphere 1 has a positive charge of 6.0 nC. Metal sphere 2. which is twice the diameter of sphere ]. is initially uncharged. The spheres are then connected together by a long, thin metal wire. What are the nal charges on each sphere? 61. ll Initially. the switch in FIGURE P2651 is in position A and capacitors C 3 and C 3 are uncharged. Then the switch is flipped to position B. Afterward. what are the charge on and the potential difference across each capacitor? Switch FIGURE P26.61 FIGURE P26.62 1 4.: u 66. III High-frequency signals are often (\"I transmitted along a coaxial cable. such as the one shown in FIGURE P26.66. For example, the cable TV hookup coming into your home is a coaxial cable. The signal is carried on a wire of radius RI while the outer conductor of radius R2 is grounded {i.e.. at V = 0 V). An R' insulating material fills the space FIGURE \"6.66 between them, and an insulating plastic coating goes around the outside. a. Find an expression for the capacitance per meter of a coaxial cable. Assume that the insulating material between the cylinders is air. b. Evaluate the capacitance per meter of a cable having R1 = 0.50 mm and R3 = 3.0 mm. Coaxial cable 81. III Consider a uniformly charged sphere of radius R and total CALC charge Q. The electric field Eout outside the sphere (r > R) is simply that of a point charge Q. In Chapter 24, we used Gauss's law to find that the electric field E inside the sphere (r = R) is radially outward with field strength Ein 4 TEO R a. The electric potential Vout outside the sphere is that of a point charge Q. Find an expression for the electric potential V at position r inside the sphere. As a reference, let Vi= Vow at the surface of the sphere. b. What is the ratio Vcenter / Vsurface? c. Graph V versus r for O S r = 3R