1. A flat metal plate has a uniform surface charge density of 3E-9 C/m^2. A second flat metal plate, parallel to the first, has an equal and opposite surface charge density. The two are close enough together that they can be modeled as infinite planes. How much pressure (force per square meter of surface) is required to pull them apart? How much work (per square meter of surface) is required to separate the plates by a distance of 1 cm? It とと
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- Two large, nonconducting plates are suspended 2.83 cm apart. Plate 1 has an area charge density of +92.3 µC/m², and plate 2 has an area charge density of +10.1 µC/m². Treat each plate as an infinite sheet. How much electrostatic energy UE is stored in 2.29 cm³ of the space in region A? UE = What volume V of the space in region B stores an equal amount of energy? V = J 3 cm³ Plate 1 Region A Region B Plate 2 Region C23. a. A plate has a charge of 4 µC and a surface area of 0.3 m². 0.02 m - + 0.01 m + + Q1 = -1 μC + G₁=3F + + + + What is the electric field 0.01 m away from the plate? a. How much work is required to move a-1 μC charge from 0.01 to 0.02 m² Q = +4 μC A=0.3 m² Given the following configuration of capacitors G=2F
- Two infinite non-conductive parallel plates are separated by a distance of 10.0 cm and have charge distributions of +1.00 µC / m2 and -1.00 µC / m2. What is the force on an electron in the space between the plates? What is the force on an electron located outside the two plates but close to the surface of one of them?A small plastic ball with a mass of 6.65 10-3 kg and with a charge of +0.149 µC is suspended from an insulating thread and hangs between the plates of a capacitor (see the drawing). The ball is in equilibrium, with the thread making an angle of 30.0° with respect to the vertical. The area of each plate is 0.0138 m2. What is the magnitude of the charge on each plate? CProblem 12: A simple and common technique for accelerating electrons is shown in the figure, which depicts a uniform electric field between two plates. Electrons are released, usually from a hot filament, near the negative plate, and there is a small hole in the positive plate that allows the electrons to pass through. E = 2.4 × 104 N/C Calculate the horizontal component of the electron's acceleration if the field strength is 2.4 × 104 N/C. Express your answer in meters per second squared, and assume the electric field is pointing in the negative x-direction as shown in the figure.
- 5.000 cm b, 60.00 cm 9.500 cm +o 40.00 cm ( b ) Two thin, flat metal plates are positioned vertically, 40.00 cm apart. The left plate has a charge density of o = +820.0 mC/m² and the right plate has an equal but opposite charge density, -o = -820.0 mC/m². There are also two thin, flat metal plates positioned horizontally, 60.00 cm apart, with the top plate given a negative charge, and the bottom plate given an equal but opposite positive charge, such that the potential difference between the plates is 10.00 V. A small sphere with mass m = 57.78 g, and charge q = +34.00 mC is attached to a thin, rigid, massless, insulating rod with length L = 16.00 cm, which is pivoted at point 0, which is 5.000 cm from the left plate. The sphere/rod unit is rotated to an angle of 10.00° with the horizontal and released from rest. (b) A negative charge of Q = –132.0 mC is now fixed at a point which is at the same height as point 0, and 9.500 cm to the left of the right plate. (Not to scale.) A negative…1. A solid sphere of radius R is made of a metallic conductor. Another solid sphere of radius R is made of an insulating material. An excess charge Q is deposited on each. Which object has the greatest surface charge density? 2. A solid sphere of radius R is made of a metallic conductor. A hollow spherical shell of the same radius R is made of the same conducting material. An excess charge Q is deposited on each. Which object has the greatest surface charge density?