Kz A/2 A Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are K1 = 86, k2 = 77, K3 = 45. The plate area of the capacitor is A = 28 cm2 and plate seperation is 35 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.

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Solve only c,d Use the following constants if necessary. Coulomb constant, k = 8.987×10^9 N⋅m^2/C^2 . Vacuum permitivity, ϵ0= 8.854×10^−12 F/m. Magnetic Permeability of vacuum, μ0 = 12.566370614356×10^−7 H/m. Magnitude of the Charge of one electron, e = −1.60217662×10^−19 C. Mass of one electron, m_e = 9.10938356×10^−31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .
A/2
A
Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are
K1 = 86, K2
77, k3 = 45. The plate area of the capacitor is A = 28 cm2 and plate seperation is 35 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.
Transcribed Image Text:A/2 A Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are K1 = 86, K2 77, k3 = 45. The plate area of the capacitor is A = 28 cm2 and plate seperation is 35 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.
S,
R
c) We take the capacitor with only new material (k') and setup a series circuit with another resistor R = 4.4 kN and battery
V = 11.0 volts. Calculate the maximum
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 t2 = 0.75T. Here, T is the time constant of the circuit. What's the amount of
charge present in the capacitor after t2 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.
Transcribed Image Text:S, R c) We take the capacitor with only new material (k') and setup a series circuit with another resistor R = 4.4 kN and battery V = 11.0 volts. Calculate the maximum 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 t2 = 0.75T. Here, T is the time constant of the circuit. What's the amount of charge present in the capacitor after t2 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.
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