A parallel plate capacitor is filled with a material
of dielectric constant K and conductivity g. It is charged with an
initial charge Q. (a) Show that the charge leaks off the plates as
an exponential function of time. (b) Show that the total joule heat
production equals the electrostatic energy stored initially. (c)
What is the time constant for the discharge if the material is
silicon oxide? (See tables 4-1 and 7-1)
table 4-1
table 7-1
Homework Answers
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A parallel plate capacitor is filled with a material
of dielectric constant K and conductivity g....
(1 point) A parallel plate capacitor is filled with a dielectric that has a dielectric constant...
(1 point) A parallel plate capacitor is filled with a dielectric that has a dielectric constant of 1.09. The plates have an area of 2.26 mm² and are separated by a distance of 2.86 um. (A) What is the capacitance of this filled capacitor? (B) What is the capcitance of this capacitor when it is empty? (C) If the filled capacitor is connected to a 9 volt battery, what is the charge stored on the plates of this filled capacitor?...
Consider a parallel-plate capacitor that is partially filled with a dielectric of dielectric constant K
Consider a parallel-plate capacitor that is partially filled with a dielectric of dielectric constant K. The dielectric has the same same height as theseparation of the plates of the capacitor butfills a fraction f of the area of the capacitor. The capacitance of thecapacitor whenthe dielectric is completely removed is C0.What is the capacitance C(f) of this capacitor as afunction of f? Express C(f) in terms of C0, f,and K.
Please answer the question on this image regarding a parallel-plate capacitor that is half-filled with dielectric...
Please answer the question on this image regarding a
parallel-plate capacitor that is half-filled with
dielectric
Problem 4 (6 points) A parallel-plate capacitor is half-filled with a slab of material of dielectric constant e, as shown in the figure. d/2 a) By what factor is the capacitance increased as a result of the presence of the dielectric? b) If the top and bottom conducting plates of the capacitor have surface charge density to and –o, respectively, identify the location, sign,...
Problem 7 The space between a parallel plate capacitor is filled with two slabs of dielectric...
Problem 7 The space between a parallel plate capacitor is filled with two slabs of dielectric material, as shown in figure (18.46) The dielectric constant of one slab is κι and the dielectric constant of the other slab is K2. The separation between the plates is d, and each slab fills half of the space between the plates of the capacitor. Determine the capacitance of this capacitor if the area of the two plates is A 2 Figure 18.46: Problem7
A certain parallel plate capacitor has plate area A = 400 cm^2 and separation between the...
A certain parallel plate capacitor has plate area A = 400 cm^2
and separation between the plates is d=0.1 mm. The space between
the plates is filled with a material that has dielectric constant k
=3.0, for this material resistivity = 2 x 10^8 ohm m. A 12 volt
battery is connected across the capacitor. Draw circuit diagram.
Determine
(a) charge on the capacitor;
(b) resistance between the plates
( c ) current that leaks through the capacitor. (the leakage...
A 2.0 μF parallel-plate air-filled capacitor is connected across a 10 V battery. (a) Determine the...
A 2.0 μF parallel-plate air-filled capacitor is connected across a 10 V battery. (a) Determine the charge on the capacitor and the energy stored in the capacitor. (b) An identical 2.0 μF parallel-plate air-filled capacitor is connected across a 5 V battery, and a dielectric slab with dielectric constant κ is inserted between the plates of the capacitor, completely filling the region between the plates, while the battery remains connected. The energy stored in this capacitor is four times that...
A parallel-plate capacitor has the volume between its plates filled with plastic with dielectric constant K....
A parallel-plate capacitor has the volume between its plates filled with plastic with dielectric constant K. The magnitude of the charge on each plate is Q. Each plate has area A, and the distance between the plates is d. Use Gauss's law to calculate the magnitude of the electric field in the dielectric. Express your answer in terms of the given quantities and appropriate constants. Use the electric field determined in part A to calculate the potential difference between the...
A parallel plate capacitor is constructed using a dielectric material with dielectric constant of 3 and...
A parallel plate capacitor is constructed using a dielectric material with dielectric constant of 3 and whose dielectric strength is 2x10^8 V/m. the desired capacitance is 0.250 mF, and the capacitors must withstand a maximum potential difference of 4 kV. Find the minimum area of the capacitor plates.
A parallel plate capacitor has a capacitance of 7 microfarad when filled with a dielectric. The...
A parallel plate capacitor has a capacitance of 7 microfarad when filled with a dielectric. The area of each plate is 1 m and the separation between the plates is 0.58x10-5 m. What is the dielectric constant of the dielectric? Equation: C = " A, 60 = 8.85 10-12 m?
The space between a parallel plate capacitor of area "A," is filled with a dielectric whose...
The space between a parallel plate capacitor of area "A," is filled with a dielectric whose permittivity varies linearly from e1 at one plate (y 0) to s2 at the other plate ( y=d). The plates have equal and opposite charge densities of magnitude o Write the equation for the permittivity as a function of position, i.e. s(y)= ? 3. AV Show the potential difference between the plates is 4. In Ae2-1 1 Determine the capacitance of the parallel plate...
(1 point) A parallel plate capacitor is filled with a dielectric that has a dielectric constant of 1.09. The plates have an area of 2.26 mm² and are separated by a distance of 2.86 um. (A) What is the capacitance of this filled capacitor? (B) What is the capcitance of this capacitor when it is empty? (C) If the filled capacitor is connected to a 9 volt battery, what is the charge stored on the plates of this filled capacitor?...
Consider a parallel-plate capacitor that is partially filled with a dielectric of dielectric constant K. The dielectric has the same same height as theseparation of the plates of the capacitor butfills a fraction f of the area of the capacitor. The capacitance of thecapacitor whenthe dielectric is completely removed is C0.What is the capacitance C(f) of this capacitor as afunction of f? Express C(f) in terms of C0, f,and K.
Please answer the question on this image regarding a
parallel-plate capacitor that is half-filled with
dielectric
Problem 4 (6 points) A parallel-plate capacitor is half-filled with a slab of material of dielectric constant e, as shown in the figure. d/2 a) By what factor is the capacitance increased as a result of the presence of the dielectric? b) If the top and bottom conducting plates of the capacitor have surface charge density to and –o, respectively, identify the location, sign,...
Problem 7 The space between a parallel plate capacitor is filled with two slabs of dielectric material, as shown in figure (18.46) The dielectric constant of one slab is κι and the dielectric constant of the other slab is K2. The separation between the plates is d, and each slab fills half of the space between the plates of the capacitor. Determine the capacitance of this capacitor if the area of the two plates is A 2 Figure 18.46: Problem7
A certain parallel plate capacitor has plate area A = 400 cm^2
and separation between the plates is d=0.1 mm. The space between
the plates is filled with a material that has dielectric constant k
=3.0, for this material resistivity = 2 x 10^8 ohm m. A 12 volt
battery is connected across the capacitor. Draw circuit diagram.
Determine
(a) charge on the capacitor;
(b) resistance between the plates
( c ) current that leaks through the capacitor. (the leakage...
A parallel plate capacitor has a capacitance of 7 microfarad when filled with a dielectric. The area of each plate is 1 m and the separation between the plates is 0.58x10-5 m. What is the dielectric constant of the dielectric? Equation: C = " A, 60 = 8.85 10-12 m?
The space between a parallel plate capacitor of area "A," is filled with a dielectric whose permittivity varies linearly from e1 at one plate (y 0) to s2 at the other plate ( y=d). The plates have equal and opposite charge densities of magnitude o Write the equation for the permittivity as a function of position, i.e. s(y)= ? 3. AV Show the potential difference between the plates is 4. In Ae2-1 1 Determine the capacitance of the parallel plate...
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