A thin-walled, hollow, conducting cylinder with radius rb is concentric with a solid conducting cylinder with radius ra<rb. Each has length L. The two cylinders are attached by conducting wires to the terminals of a battery that supplies potential V. A solid cylindrical shell, with inner radius ra and outer radius R<rb, made of a material with dielectric constant K, slides between the conducting cylinders, as shown in (Figure 1). By changing the insertion distance x, we can alter the capacitance seen by the battery and therefore alter the amount of charge stored in this device. a)Determine the capacitance as a function of x. Express your answer in terms of the variables K, L, ra, rb, R, x, and constants ϵ0, π. b) If L = 12.0 cm, ra = 1.00 cm, rb = 4.00 cm, R = 3.00 cm, and K = 3.21, what is the capacitance when x = 0? c) What is the capacitance when x = L? d) What value of x results in 6.00 nC of charge on the positively charged cylinder plate when V = 1.00 kV?
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An electrostatic force is a force caused by stationary electric charges /fields. The electrostatic force is caused by the transfer of electrons in conducting materials. Coulomb’s law determines the amount of force between two stationary, charged particles. The electric force is the force which acts between two stationary charges. It is also called Coulomb force.
A thin-walled, hollow,
a)Determine the capacitance as a function of x.
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