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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C². vacuum permitivity, eo = 8.854 × 10-1² F/m. Magnetic Permeability of vacuum, Ho = 12.566370614356 x 10H{m. Magnitude of the Charge of one electron, e=-1.60217662 x 10-1º C. Mass of one electron, m. = 9.10938356 x 10-3" kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Kz Ala A Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are K1 = 15, K2 = 72, K3 = 67. The plate area of the capacitor is A = 49 cm² and plate seperation is 28 mm. a) Identify series and parallel connections and find the equivalent capacitance of the capacitor. equivalent capacitance Give your answer up to at least three significance digits. F b) We want to replace three materials with just one material such that the equivalent capacitance remains the same. Find the numerical value of dielectric constant of the new material K. Value of K' Give your answer up to at least three significance digits.

Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C². vacuum permitivity, eo = 8.854 × 10-1² F/m. Magnetic Permeability of vacuum, Ho = 12.566370614356 x 10H{m. Magnitude of the Charge of one electron, e=-1.60217662 x 10-1º C. Mass of one electron, m. = 9.10938356 x 10-3" kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Kz Ala A Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are K1 = 15, K2 = 72, K3 = 67. The plate area of the capacitor is A = 49 cm² and plate seperation is 28 mm. a) Identify series and parallel connections and find the equivalent capacitance of the capacitor. equivalent capacitance Give your answer up to at least three significance digits. F b) We want to replace three materials with just one material such that the equivalent capacitance remains the same. Find the numerical value of dielectric constant of the new material K. Value of K' Give your answer up to at least three significance digits.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m? /C?. vacuum permitivity, €g = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, Ho = 12.566370614356 x 10 H/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, me = 9.10938356 x 103" kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb Kz A Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are K1 = 15, K2 = 72, K3 = 67. The plate area of the capacitor is A = 49 cm and plate seperation is 28 mm. a) Identify series and parallel connections and find the equivalent capacitance of the capacitor. equivalent capacitance Give your answer up to at least three significance digits. F b) We want to replace three materials with just one material such that the equivalent capacitance remains the same. Find the numerical value of dielectric constant of the new material K', Value of K Give your answer up to at least three significance digits PartII S, R c) We take the capacitor with only new material (K') and setup a series circuit with another resistor R = 3.3 kN and battery V = 10.0 volts. Calculate the maximum amount of energy the capacitor can store. maximum amount of energy Give your answer up to at least three significance digits. d) We close the switch at t, = 0 and open it at t, = 1.2r. Here, T is the time constant of the circuit. What's the amount f charge present in the capacitor after time? Plot how stored charge changes as a function of time. Charge in the capacitor Give your answer up to at least three significance digits. C
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m? /C?. vacuum permitivity, €g = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, Ho = 12.566370614356 x 10 H/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, me = 9.10938356 x 103" kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb Kz A Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are K1 = 15, K2 = 72, K3 = 67. The plate area of the capacitor is A = 49 cm and plate seperation is 28 mm. a) Identify series and parallel connections and find the equivalent capacitance of the capacitor. equivalent capacitance Give your answer up to at least three significance digits. F b) We want to replace three materials with just one material such that the equivalent capacitance remains the same. Find the numerical value of dielectric constant of the new material K', Value of K Give your answer up to at least three significance digits PartII S, R c) We take the capacitor with only new material (K') and setup a series circuit with another resistor R = 3.3 kN and battery V = 10.0 volts. Calculate the maximum amount of energy the capacitor can store. maximum amount of energy Give your answer up to at least three significance digits. d) We close the switch at t, = 0 and open it at t, = 1.2r. Here, T is the time constant of the circuit. What's the amount f charge present in the capacitor after time? Plot how stored charge changes as a function of time. Charge in the capacitor Give your answer up to at least three significance digits. C
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