A coaxial cable consists of a copper wire, radius a surrounded by a concentric copper tube of inner radius e (Fig. 4.26). The space between the two conductors is partially filled (from radius b to radius c) with a linear dielectric material of dielectric constant Er. The gap from a to b has permittivity co. Find the capacitance per unit length of this cable.
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- The capacity of a full cylindrical capacitor of length L with inner radius a and outer radius b, C = (2πϵrϵo)*L / (ln (b / a))is known to be. The capacitor is angularly composed of two insulating regions and these insulating regions are; With ø1 = 2.3 rad and a region with a relative dilutive constant εr1 = 5.6 Regions with relative dilutive constant ø2 = 3.9831 rad r2 = 3.2 The equivalent capacity of this capacitor is how many times the capacitor whose insulator is the space. (ø2 + ø2 = 2π) The gap dielectric constant εo = 8.842 pF / m and capacitor dimensions; L = 20 cm a = 1.5 cm b = 3.4 cmGiven the following capacitor network, if CB = 3 mF, Cc 8, mF, and Cp 7 mF, and the entire network is connected to a 6 V battery, what is the charge on Qc? Please express your answer in mC. Assume that all given capacitance values are accurate to 3 significant figures. B C HH DImagine that two parallel plates are charged to achieve a voltage difference Vo between the plates. They have area A and spacing d. The plates are then electrically isolated so that no charge can be added or taken away. A good conductor of thickness d/2 is placed in between the two plates, as shown. Does the voltage difference of the plates change? Why or why not? If yes,what is it in terms of the old voltage difference V? (Don’t forget ∆V=-integral of Edx.)
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