1. Suppose there is an infinitely large charged sheet with a charge density of σ in...
1. Suppose there is an infinitely large charged sheet with a charge density of σ in free space.mShow that the electrical field magnitude of the charge sheet is given by E = |σ/2ε| (hint: use the Gauss theorem and assume no other charges except the charge sheet is present).
2. Consider a parallel plate capacitor with area A and distance between plates, d. Suppose we fill the gap between parallel plates with a dielectric of permittivity ε (note: this not the relative permittivity but the actual permittivity) and charged the capacitor have a charge of Qin its positive plate. Calculate the electrical field, E, between plates? (write the answer in terms of A, d, ε and Q. note that you may only need some of these variables to write the answer. )
3. Assuming the same description for the capacitor as in question (2.b) Show the magnitude of the force, F , between plates is given by F = |EQ/2| where Q is the charge in the positive plate of the capacitor.
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1. Suppose there is an infinitely large charged sheet with a
charge density of σ in...
Suppose the parallel plates in Fig. 24.15 each have an area of 2000 cm2 (2.00 x 101m2) and are 1....
Suppose the parallel plates in Fig. 24.15 each have an area of 2000 cm2 (2.00 x 101m2) and are 1.00 cm (1.00 x 104m) apart, we connect the capacitor to a power supply, charge it to a potential difference V。. 3.00kv, and disconnect the power supply. We then insert a sheet of insulating plastic material between the plates, completely filling the space between them. We find that the potential difference decreases to 1.00kV while the charge on each capacitor plate...
3. Lecture 10: Consider a parallel plate capacitor with capacitance 14 μF. This capacitor is charged...
3. Lecture 10: Consider a parallel plate capacitor with capacitance 14 μF. This capacitor is charged to a potential difference of 100 V between the two plates. (a) What is the amount of charge on the plates? (b) For this capacitor the space between the charged plates is filled with neoprene. We proceed to pull out the insulating material: what is the amount of charge on the plates after we pull out the neoprene sheet? (c) How much work did...
Suppose you place a charge q near a large metal plate. If q is attracted to...
Suppose you place a charge q near a large metal plate. If q is attracted to the plate, is the plate necessarily charged? Yes, since only unlike charges can attract each other Yes, since only like charges can attract each other No, since a polarization charge could be induced in the plate No, since q can be attracted to an uncharged metal plate Question 8 (12.5 points) What would the electric field look like in a system with two parallel...
A fully charged capacitor consists of parallel plates, which have an overlapping area of 4.00 mm2...
A fully charged capacitor consists of parallel plates, which have an overlapping area of 4.00 mm2 and are separated by a dielectric material with a relative permittivity of 4.50. The charge on the capacitor is 1.85 × 10-11 C. Calculate the strength of the electric field between the plates.
A parallel-plate capacitor has charge of magnitude 8.40 µC on each plate and capacitance 3.60 µF when there is air between the plates.
A parallel-plate capacitor has charge of magnitude 8.40 µC on each plate and capacitance 3.60 µF when there is air between the plates. The plates are separated by 2.10 mm. With the charge on the plates kept constant, a dielectric withκ = 6is inserted between the plates, completely filling the volume between the plates. (Enter the magnitudes.)(a)What is the potential difference between the plates of the capacitor (in V) before and after the dielectric has been inserted?before Vafter V(b)What is...
6. Using Gauss' law, prove that for an infinitely large sheet of charge, with some positive...
6. Using Gauss' law, prove that for an infinitely large sheet of charge, with some positive surface charge density ?, the electric field some distance above the surface of the plate is: 20 Be sure to justify your choice of Gaussian surface with some sort of symmetry argument.
Problem 5 (16 +8 Points) A parallel plate capacitor biased under a constant voltage Vo is...
Problem 5 (16 +8 Points) A parallel plate capacitor biased under a constant voltage Vo is shown in the figure below. Two parallel plates are separated by a distance of d and filled with a medium whose permittivity is ε,-ε-The parallel plates have a height of h and a width of t not shown in the figure). A dielectric slab with a thickness of d/3 is inserted in between the two parallel plates. The dielectric slab has a permittivity of...
The following information from Problem 2 is provided to help with answering Problem 3 The plates...
The following information from Problem 2 is provided to help with answering Problem 3 The plates of a parallel plate capacitor each have an area of 0.40 m2 and are separated by a distance of 0.02m. They are charged until potential difference between the plates is 3000 V. The charged capacitor is then disconnected from the battery. Suppose that a dielectric sheet is inserted to completely fill the space between the plates and the potential difference between the plates drops...
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...
(a) Consider a parallel plate capacitor with static charge density σ and no medium between the disk and the capacitor. Suppose the capacitor is placed in such a way that the xy plane bisects...
(a) Consider a parallel plate capacitor with static charge density σ and no medium between the disk and the capacitor. Suppose the capacitor is placed in such a way that the xy plane bisects its interior and the z axis is perpendicular to the plate Assume that the "home" frame is stationary relative to the capacitance, but the "other" frame is moving in the positive x direction at the speed of v. Find the electric field Cartesian com ponents in...
Suppose the parallel plates in Fig. 24.15 each have an area of 2000 cm2 (2.00 x 101m2) and are 1.00 cm (1.00 x 104m) apart, we connect the capacitor to a power supply, charge it to a potential difference V。. 3.00kv, and disconnect the power supply. We then insert a sheet of insulating plastic material between the plates, completely filling the space between them. We find that the potential difference decreases to 1.00kV while the charge on each capacitor plate...
3. Lecture 10: Consider a parallel plate capacitor with capacitance 14 μF. This capacitor is charged to a potential difference of 100 V between the two plates. (a) What is the amount of charge on the plates? (b) For this capacitor the space between the charged plates is filled with neoprene. We proceed to pull out the insulating material: what is the amount of charge on the plates after we pull out the neoprene sheet? (c) How much work did...
Suppose you place a charge q near a large metal plate. If q is attracted to the plate, is the plate necessarily charged? Yes, since only unlike charges can attract each other Yes, since only like charges can attract each other No, since a polarization charge could be induced in the plate No, since q can be attracted to an uncharged metal plate Question 8 (12.5 points) What would the electric field look like in a system with two parallel...
6. Using Gauss' law, prove that for an infinitely large sheet of charge, with some positive surface charge density ?, the electric field some distance above the surface of the plate is: 20 Be sure to justify your choice of Gaussian surface with some sort of symmetry argument.
Problem 5 (16 +8 Points) A parallel plate capacitor biased under a constant voltage Vo is shown in the figure below. Two parallel plates are separated by a distance of d and filled with a medium whose permittivity is ε,-ε-The parallel plates have a height of h and a width of t not shown in the figure). A dielectric slab with a thickness of d/3 is inserted in between the two parallel plates. The dielectric slab has a permittivity of...
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...
(a) Consider a parallel plate capacitor with static charge density σ and no medium between the disk and the capacitor. Suppose the capacitor is placed in such a way that the xy plane bisects its interior and the z axis is perpendicular to the plate Assume that the "home" frame is stationary relative to the capacitance, but the "other" frame is moving in the positive x direction at the speed of v. Find the electric field Cartesian com ponents in...
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