Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C2. Vacuum permitivity, eg = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, lo = 12.566370614356 x 10- H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10-19 C. Mass of one electron, m, = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means microcoulomb K2 A/2 A/2 Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are K = 50, k2 = 68, kg = 68. The plate area of the capacitor is A = 24 cm? and plate seperation is 20 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. 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 '. Value of Give your answer up to at least three significance digits. PartII S, R c) We take the capacitor with only new material (x') and setup a series circuit with another resistor R=3.3 kl and battery V = 7.0 volts. Calculate the maximum amount of charge the capacitor can store. maximum amount of charge 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, eg = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, lo = 12.566370614356 x 10- H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10-19 C. Mass of one electron, m, = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means microcoulomb K2 A/2 A/2 Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are K = 50, k2 = 68, kg = 68. The plate area of the capacitor is A = 24 cm? and plate seperation is 20 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. 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 '. Value of Give your answer up to at least three significance digits. PartII S, R c) We take the capacitor with only new material (x') and setup a series circuit with another resistor R=3.3 kl and battery V = 7.0 volts. Calculate the maximum amount of charge the capacitor can store. maximum amount of charge Give your answer up to at least three significance digits.
Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter12: Electronic Control Devices
Section: Chapter Questions
Problem 14RQ
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Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N m² /C2. Vacuum permitivity, eo = 8.854 x 10-12 F/m. Magnetic
Permeability of vacuum, uo = 12.566370614356 x 10-7 H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10-19 C. Mass of one
electron, me = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb
K2
K3
A K
A/2
Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are kị = 50, k2 = 68, k3 = 68. The
plate area of the capacitor is A = 24 cm? and plate seperation is 20mm.
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 k and battery V = 7.0 volts. Calculate
the maximum amount of charge the capacitor can store.
maximum amount of charge
Give your answer up to at least three significance digits.
C
d) We close the switch at t = 0 and open it at t, = 1.35T. Here, T is the time constant of the circuit. What's the potential across the capacitor after t2
time? Plot how potential changes as a function of time.
potential across the capacitor
Give your answer up to at least three significance digits.
V
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