f) A parallel plate capacitor is fabricated with plates of area 0.1 m², and a dielectric of dielectric constant & = 13, one hundred microns (100μm) thick filling its gap. What is the capacitance? g) A capacitor of 128 μF stores a Joule of energy. What charge is on the plates? h) A capacitor of 128 µF stores a Joule of energy. What is the voltage between the plates?

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f) A parallel plate capacitor is fabricated with plates of area 0.1 m², and a dielectric of
dielectric constant k = 13, one hundred microns (100μµm) thick filling its gap. What is the
capacitance?
g) A capacitor of 128 μF stores a Joule of energy. What charge is on the plates?
h) A capacitor of 128 µF stores a Joule of energy. What is the voltage between the
plates?
i) What is the sum of three and six?
j) Gauss's Law was used in class to solve for the field around a sphere of charge enclosed
in an uncharged thick sphere of metal. Explain why the technique used there would not
work if the metal enclosure was a cube instead of a sphere.
Transcribed Image Text:f) A parallel plate capacitor is fabricated with plates of area 0.1 m², and a dielectric of dielectric constant k = 13, one hundred microns (100μµm) thick filling its gap. What is the capacitance? g) A capacitor of 128 μF stores a Joule of energy. What charge is on the plates? h) A capacitor of 128 µF stores a Joule of energy. What is the voltage between the plates? i) What is the sum of three and six? j) Gauss's Law was used in class to solve for the field around a sphere of charge enclosed in an uncharged thick sphere of metal. Explain why the technique used there would not work if the metal enclosure was a cube instead of a sphere.
a) let f(r) = sin(xy) cos(z)
Find Vf.
b) An array of 12 charges is brought together, and we wish to calculate the work done
in doing so. (This is a large "double sum.") How many terms appear altogether in this
sum?
c) For a given electric potential, V = Voe(r/ro)², calculate Ē.
d) Two 100 resistors are in series with each others and also with three 100 μF capac-
itors. What is the time constant for this whole circuit?
e) Draw the electric circuit diagram for the arrangement in the previous part when
properly connected to a 2 V battery. I don't care which orientation (that is, which end is
plus or minus) for the battery in the circuit.
Transcribed Image Text:a) let f(r) = sin(xy) cos(z) Find Vf. b) An array of 12 charges is brought together, and we wish to calculate the work done in doing so. (This is a large "double sum.") How many terms appear altogether in this sum? c) For a given electric potential, V = Voe(r/ro)², calculate Ē. d) Two 100 resistors are in series with each others and also with three 100 μF capac- itors. What is the time constant for this whole circuit? e) Draw the electric circuit diagram for the arrangement in the previous part when properly connected to a 2 V battery. I don't care which orientation (that is, which end is plus or minus) for the battery in the circuit.
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