Exam 17: Electric Potential

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A pair of parallel conducting plates have potentials of −17 V and 55 V, respectively. An electron is ejected from the plate at potential −17 V and travels to the plate at 55 V. What is the speed of the electron as it strikes the 55 V plate, assuming it left the −17 V plate starting from rest? The mass of the electron is 9.11 × 10−31 kg.

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A parallel plate capacitor, filled with air, has circular plates with a separation gap of 1.5 mm. If it is desired to store 12 mJ in this capacitor, what must the plate area be for a voltage of 1.5 kV?

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A 3.6 μC charge is moved from a position where its electric potential energy is 7.2 mJ to a position where its potential energy is 1.8 mJ. What is the change in potential from the initial position to the final position?

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What area plates would a 1.0 F parallel plate capacitor have, with a plate separation of 0.10 mm and a dielectric of constant 10?

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Two large equipotential surfaces are flat and parallel, and they are separated by a relatively small distance compared to their size. One surface is at 25.0 V and the other is at 33.0 V. The surfaces are 1.25 cm apart. Assuming the electric field is uniform between the surfaces, what is the magnitude of the electric field midway between them?

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Which of the following statements is true?

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Tripling the separation between charges changes the potential energy of a pair of point charges by a factor of

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A charge q1 is placed on the y-axis at y = 4.0 m and the resulting potential at the position (3.0 m, 4.0 m) is 3.0 V. The charge q1 is removed and a charge q2 is placed on the x-axis at x = 3.0 m and the resulting potential at the position (3.0 m, 4.0 m) is 4.0 V. If both charges are in place simultaneously, what is the potential at (3.0 m, 4.0 m)?

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An air-filled, parallel plate capacitor with circular plates of radius 0.07 m is used to store energy. If it is desired to store 12 × 10−6 J in this capacitor, what must the separation distance be for a voltage of 1.5 kV?

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What is the potential at a distance of 0.0529 nm from a proton?

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The potential energy of a 3.5 pC charge separated by 6.2 cm from a 1.6 μC charge is

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How much charge is on a conducting sphere of diameter 20 μm if its surface potential is 50 mV?

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The unit F, the farad, is equal to which of the following?

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A 2.5-mC charge is on the y-axis at y = 3.0 m, and a 6.3-mC charge is on the x-axis at x = 3.0 m. What is the direction of the electric potential at the origin?

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An air-filled parallel plate capacitor is charged until its surface charge density reaches σ0, and then the voltage source is removed. If an insulator with dielectric constant 5.0 is inserted between the plates, what happens to the electric field strength, assuming the surface charge density does not change?

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The electric field in the dielectric-filled region between the plates of a capacitor is E. What is the charge density on the plates?

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An air-filled parallel plate capacitor has plates of area 100 cm2 and separation 0.25 mm. What is its capacitance?

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If electrons are accelerated from rest in an electron gun by sending them through a potential difference of 1000 V, what is the resulting speed of the electrons?

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An electron is projected horizontally with a speed of 5.0 × 106 m exactly in the middle of two parallel plates at potentials of −40 V and 104 V, respectively. The plate separation is 3.0 cm. The plates are long enough that the electron, rather than passing completely between the plates, eventually strikes the plate sitting at 104 V potential. What is the speed of the electron when it strikes the plate? The mass of the electron is 9.11 × 10−31 kg.

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A conducting sphere of radius 20 cm is charged so that the electric field reaches 3.0 × 105 V/m at its surface. What is the potential at the surface of the sphere?

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