Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C². vacuum permitivity, en = 8.854 x 10 12 F/m. Magnitudeof 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, eachsymbol caries their usual meaning. For example, µC means micro coulomb.BatteryAirFuelA 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 isempty, to a value of 7, when the tank is full. The appropriate electronic circuitry can determine the effective dielectric constant of the combined air andfuel 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 thefuel 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 kg You can ignore anyfringing 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 tankGive 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 tankGive your answer to at least two significance digits.Joulec) What is the capacitance, when 0.75 fraction of the fuel tank is filled by the gasoline?Capacitance of the fuel tankGive your answer to at least two significance digits.Farad Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C². vacuum permitivity, en = 8.854 x 10 12 F/m. Magnitudeof 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, eachsymbol caries their usual meaning. For example, µC means micro coulomb.BatteryAirFuelA 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 isempty, to a value of 7, when the tank is full. The appropriate electronic circuitry can determine the effective dielectric constant of the combined air andfuel 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 thefuel 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 kg You can ignore anyfringing 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 tankGive 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 tankGive your answer to at least two significance digits.Joulec) What is the capacitance, when 0.75 fraction of the fuel tank is filled by the gasoline?Capacitance of the fuel tankGive your answer to at least two significance digits.Farad

(a) The effective dielectric constant of a fuel tank The capacitor is made up of two parts one is…

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