Exam 16: Electrical Energy and Capacitance

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Electrons in an x-ray machine are accelerated from rest through a potential difference of 20,000 V.What is the kinetic energy of each of these electrons in eV?

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Using a 0.5-mF capacitor,a 2.5-mF capacitor,and a 3.5-mF capacitor,which of the following capacitances cannot be made by a combination that uses all three? (Hint: At most only 2 combinations must be considered to determine the correct answer).

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A uniform electric field,with a magnitude of 550 N/C,is directed parallel to the positive x-axis.If the potential at x = 5 m is 1,900 V,what is the potential at x = 3 m?

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Increasing the voltage across the two plates of a capacitor will produce what effect on the capacitor?

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An electron in a cathode ray tube is accelerated through a potential difference of 7.0 kV.What kinetic energy does the electron gain in the process? (e = 1.6 × 10−19 C)

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Which of the following characteristics are held in common by both gravitational and electrostatic forces when dealing with either point masses or charges?

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Two point charges of values +3.4 and +7.0 μC are separated by 0.3 m.What is the electrical potential at the point midway between the two point charges? (ke = 8.99 × 109 N⋅m2/C2)

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An electron in a TV picture tube is accelerated through a potential difference of 29 kV before it hits the screen.What is the kinetic energy of the electron in electron volts? (1 eV = 1.6 × 10−19 J)

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If three 1.9-µF capacitors are connected in parallel,what is the combined capacitance?

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The unit of capacitance,the farad,is dimensionally equivalent to which of the following?

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Two capacitors with CA greater than CB and are connected in series with a battery.Which of the following is true?

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Two capacitors with capacitances of 2 μF and 0.4 μF,respectively,are connected in series.The system is connected to a 100-V battery.What electrical potential energy is stored in the 2-μF capacitor?

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How much charge can be placed on a capacitor of plate area 15 cm2 with air between the plates before it reaches "atmospheric breakdown" where E = 3.0 × 106 V/m? (ε0 = 8.85 × 10−12 C2/N⋅m2)

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The quantity of electrical potential,the volt,is dimensionally equivalent to:

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What is the equivalent capacitance of the combination shown? What is the equivalent capacitance of the combination shown?

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Very large capacitors have been considered as a means for storing electrical energy.If we constructed a very large parallel-plate capacitor of plate area 1.4 m2 using paper (κ = 3.7)of thickness 1.7 mm as a dielectric,how much electrical energy would it store at a plate voltage of 5,020 V? (ε0 = 8.85 × 10−12 C2/N⋅m2)

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Four point charges are on the rim of a circle of radius 10 cm.The charges are (in μC)+0.50,+1.5,−1.0,−0.50.If the electrical potential at the circle's center due to the +0.5 charge alone is 4.5 × 104 V,what is the total potential at the center due to the four charges combined?

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A point charge of +2.1 μC is located at the origin of a coordinate system and a second point charge of −6.9 μC is at x = 1.2 m.What is the electric potential at the x = 0.6 m point? (ke = 8.99 × 109 N⋅m2/C2)

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A parallel-plate capacitor has dimensions 3.8 cm × 4 cm.The plates are separated by a 1.12-mm thickness of paper (dielectric constant κ = 3.7).What is the charge that can be stored on this capacitor,when connected to a 1.2-V battery? (ε0 = 8.85 × 10−12 C2/N⋅m2)

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What is the equivalent capacitance between points a and b? All capacitors are 2.5 μF. What is the equivalent capacitance between points a and b? All capacitors are 2.5 μF.

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