GAЗ.3 Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10¬1² F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10-19 C. Mass of one electron, mẹ = 9.10938356 × 10¬31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . Battery Air Fuel A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant kchanges from a value of 1 when the tank is empty, to a value of 7, when the tank is full. The appropriate electronic circuitry can determine the effective dielectric constant of the combined air and fuel between the capacitor plates. The dimension of the fuel tank is width w = 19 cm, length L = 12 cm and breadth d = 18 cm. The height of the fuel between the plates is h = 7 cm. A battery with e.m.f of 11 v is connected across the plates. For gasoline, dielectric constant k, You can ignore any fringing effects. a) Calculate the effective dielectric constant of the fuel tank. (Hint: Consider two different capacitors connected in parallel) effective dielectric constant of the fuel tank Give your answer to at least two significance digits. b) How much energy is stored in the fuel tank when it is full up by gasoline? energy is stored in the fuel tank Give your answer to at least two significance digits. Joule c) What is the capacitance, when 0.5 fraction of the fuel tank is filled by the gasoline? Capacitance of the fuel tank Give your answer to at least two significance digits. Farad d) What is the capacitance, when the fuel tank is totally filled by the gasoline? Capacitance of the fuel tank Give your answer to at least two significance digits. Farad

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Kindly give me a detailed answer in a clear handwriting of the subparts a,b and d by mentioning the subpart's name. It is one whole question. All the subparts are related. Take your time solving this. I am attaching the full question but I only need a, b and d. All the questions are related. This is my second time uploading these questions as I got wrong answers previously. So kindly answer this one by following the given instructions. I will upvote if the answer is correct. Thank you.

GA3.3
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /C². Vacuum permitivity, eo = 8.854 × 10-12 F/m. Magnitude
of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me
symbol carries their usual meaning. For example, µC means micro coulomb.
9.10938356 × 10 31 kg. Unless specified otherwise, each
Battery|
Air
Fuel
A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant Kchanges from a value of 1 when the tank is
empty, to a value of 7, when the tank is full. The appropriate electronic circuitry can determine the effective dielectric constant of the combined air and
fuel between the capacitor plates. The dimension of the fuel tank is width w = 19 cm, length L
fuel between the plates is h = 7 cm. A battery with e.m.f of 11 v is connected across the plates. For gasoline, dielectric constant K, You can ignore any
fringing effects.
= 12 cm and breadth d = 18 cm. The height of the
a) Calculate the effective dielectric constant of the fuel tank. (Hint: Consider two different capacitors connected in parallel)
effective dielectric constant of the fuel tank
Give your answer to at least two significance digits.
b) How much energy is stored in the fuel tank when it is full up by gasoline?
energy is stored in the fuel tank
Give your answer to at least two significance digits.
Joule
c) What is the capacitance, when 0.5 fraction of the fuel tank is filled by the gasoline?
Capacitance of the fuel tank
Give your answer to at least two significance digits.
Farad
d) What is the capacitance, when the fuel tank is totally filled by the gasoline?
Capacitance of the fuel tank
Give your answer to at least two significance digits.
Farad

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