BONUS: Energy Storage Consider the capacitor as a device for storing energy. The practical limitation on the potential difference between the plates of a capacitor is the dielectric strength of the dielectric material between the plates. This is the maximum electric field strength that can exist without causing a spark. It is typically on the order of 107 V/m for a good liquid dielectric with x = 2.3 and p 1g/cm³. (a) Neglecting the weight of the electrodes and case, what is the energy density of a capacitor filled with a liquid dielectric, in J/kg? L.e., how many joules of energy can be stored per kilogram of dielectric fluid? (b) The energy density of gasoline is about 46 MJ/kg, and gasoline has a density of about 0.75 g/cm³. Assume a gas tank holds about 12 gallons of gasoline when full. What mass of dielectric would be required to provide the same energy as a tank of gasoline?
BONUS: Energy Storage Consider the capacitor as a device for storing energy. The practical limitation on the potential difference between the plates of a capacitor is the dielectric strength of the dielectric material between the plates. This is the maximum electric field strength that can exist without causing a spark. It is typically on the order of 107 V/m for a good liquid dielectric with x = 2.3 and p 1g/cm³. (a) Neglecting the weight of the electrodes and case, what is the energy density of a capacitor filled with a liquid dielectric, in J/kg? L.e., how many joules of energy can be stored per kilogram of dielectric fluid? (b) The energy density of gasoline is about 46 MJ/kg, and gasoline has a density of about 0.75 g/cm³. Assume a gas tank holds about 12 gallons of gasoline when full. What mass of dielectric would be required to provide the same energy as a tank of gasoline?
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Transcribed Image Text:BONUS: Energy Storage
Consider the capacitor as a device for storing energy. The practical limitation on the potential difference between the
plates of a capacitor is the dielectric strength of the dielectric material between the plates. This is the maximum electric
field strength that can exist without causing a spark. It is typically on the order of 10’ v/m for a good liquid dielectric
with x x 2.3 and p s1g/cm³.
(a) Neglecting the weight of the electrodes and case, what is the energy density of a capacitor filled with a liquid
dielectric, in J/kg? I.e., how many joules of energy can be stored per kilogram of dielectric fluid?
(b) The energy density of gasoline is about 46 MJ/kg, and gasoline has a density of about 0.75 g/cm³. Assume a gas
tank holds about 12 gallons of gasoline when full. What mass of dielectric would be required to provide the same
energy as a tank of gasoline?
Note: Modern science is starting to address this challenge with new materials that have higher dielectric strengths and
higher dielectric constants.
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