Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N m2 /C Vacuum permitivity, o = 8.854 x 10 12 F/m. Magnetc Permeability of vacuum, uy = 12.566370614356 x 10 H/m. Magnitude of the Charge of one electron, e--1.60217662 x 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, uC means micro coulomb. Al2 K- A

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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N. m² /C? Vacuum permitivity,
Cn = 8.854 x 10 12 F/m. Magnetic Permeability of vacuum, ka = 12.566370614356 x 10 7H/m. Magnitude
of the Charge of one electron, e - -1.60217662 x 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, uC means micro coulomb.
A/2
A
Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are
K1 = 81, k2 = 83, k3 = 51. The plate area of the capacitor is A = 28 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 lo al leest three sgni ficance digi ts.
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
Give your ariswer up ta at lesst three signi ficance digi is.
PartII
Ques 2
S,
R
c) We take the capacitor with only new material (K') and setup a series circuit with another resistor R = 22 kN and
battery V = 8.0 volts. Calculate the maximum amount of energy the capacitor can store
maximum amount of energy
Give your anewer up to at leest three sionificance digits.
d) We close the switch at ti = 0 and open it at te = 1.37. Here, ris 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.
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N. m² /C? Vacuum permitivity, Cn = 8.854 x 10 12 F/m. Magnetic Permeability of vacuum, ka = 12.566370614356 x 10 7H/m. Magnitude of the Charge of one electron, e - -1.60217662 x 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, uC means micro coulomb. A/2 A Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are K1 = 81, k2 = 83, k3 = 51. The plate area of the capacitor is A = 28 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 lo al leest three sgni ficance digi ts. 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 Give your ariswer up ta at lesst three signi ficance digi is. PartII Ques 2 S, R c) We take the capacitor with only new material (K') and setup a series circuit with another resistor R = 22 kN and battery V = 8.0 volts. Calculate the maximum amount of energy the capacitor can store maximum amount of energy Give your anewer up to at leest three sionificance digits. d) We close the switch at ti = 0 and open it at te = 1.37. Here, ris 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.
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