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SOLVED: The capacitance of a cylindrical capacitor is given as 80.0 µF. After being connected to a DC power source, the capacitor is fully charged to 235.0 µC. You disconnect the capacitor from the battery. Now, you take two resistors in parallel and connect the capacitor in parallel with the resistors. The resistance of the resistors is 10.0 Ω and 32.0 Ω. (a) What is the time constant for this circuit? s (b) What is the time when the capacitor has lost half of its charge? s (c) What is th
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Develop equations for the resistance and capacitance of a cylindrical membrane whose thickness is appreciable compared to its inner radius. Use Gauss's law for cylindrical symmetry, to determine the electric field. Consider total charge Q distributed uniformly over the inner surface of a section of the membrane of length D and inner radius a. The membrane has dielectric constant κ. (a) Any charge on the outer surface of the membrane has no effect on the calculation of the electric field between
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