Exam 16: The Electric Field

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Two parallel plates that are initially uncharged are separated by 1.7 mm,have only air between them,and each have surface areas of 16 cm2.How much charge must be transferred from one plate to the other if 1.9 J of energy are to be stored in the plates? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

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A capacitor consists of two large parallel plates of area A separated by a very small distance d.This capacitor is connected to a battery and charged until its plates carry charges +Q and -Q,and then disconnected from the battery.If the separation between the plates is now doubled,the potential difference between the plates will

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An electron is placed in a uniform electric field of E = 4.5 × 104 N/C that points to the right.(e = 1.6 × 10-19 C,melectron = 9.11 × 10-31 kg) (a)What are the magnitude and direction of the force exerted on the electron by the electric field? (b)If the electron is released from rest,what is its speed after 3.0 ps?

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A proton is accelerated from rest through a potential difference V0 and gains a speed v0.If it were accelerated instead through a potential difference of 2V0,what speed would it gain?

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A parallel-plate capacitor is connected to a battery and becomes fully charged.The capacitor is then disconnected,and the separation between the plates is increased in such a way that no charge leaks off.As the plates are being separated,the energy stored in this capacitor

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A proton moves 0.10 m along the direction of an E⃗\vec { E } field of magnitude 3.0 V/m.What is the change in kinetic energy of the proton? (e = 1.60 × 10-19 C)

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A tiny 0.0250-µg oil drop containing 15 excess electrons is suspended between two horizontally closely-spaced metal plates that carry equal but opposite charges on their facing surfaces.The plates are both circular with a radius of 6.50 cm.(k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2,e = 1.6 × 10-19 C) (a)How much excess charge must be on each plate to hold the oil drop steady? (b)Which plate must be positive, the upper one or the lower one?

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A parallel-plate capacitor consists of two parallel,square plates having dimensions 1.0 cm by 1.0 cm.The plates are separated by 1.0 mm, 1.0 \mathrm {~mm} \text {, } and the space between them is filled with Teflon,which has a dielectric constant of 2.1.What is the capacitance of this capacitor? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

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The electric potential at a distance of 4 m from a certain point charge is 200 V relative to infinity.What is the potential (relative to infinity)at a distance of 2 m from the same charge?

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What should the magnitude of a vertical E⃗\vec { E } field be so that the force that the electric field exerts on a plastic sphere of mass 2.1 g2.1 \mathrm {~g} that has been charged to -3.0 nC balances the force that Earth exerts on it? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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The potential difference between two square parallel plates is 4.00 V.If the plate separation is 6.00 cm and they each measure 1.5 m by 1.5 m,what is the magnitude of the E⃗\vec { E } field between the plates?

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If an electron is accelerated from rest through a potential difference of 1500 V,what speed does it reach? (e = 1.60 × 10-19 C ,melectron = 9.11 × 10-31 kg)

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Two ideal parallel-plate capacitors are identical in every respect except that one has twice the plate area of the other.If the smaller capacitor has capacitance C,the larger one has capacitance

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A battery charges a parallel-plate capacitor fully and then is removed.The plates are then slowly pulled apart.What happens to the potential difference between the plates as they are being separated?

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If it takes 50 J of energy to move 10 C of charge from point A to point B,what is the magnitude of the potential difference between points A and B?

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A solid aluminum cube rests on a wooden table in a region where a uniform external electric field is directed straight upward.What can we say concerning the charge on the top surface of the cube?

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Two very large parallel metal plates,separated by 0.20 m,are connected across a 12-V source of potential.An electron is released from rest at a location 0.10 m from the negative plate.When the electron arrives at a distance 0.050 m from the positive plate,how much kinetic energy has the electron gained? (e = 1.60 × 10-19 C)

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A 25.0-V potential source (a battery)is connected across the plates of a 6.66-µF air-filled parallel-plate capacitor having plates that are 1.22 mm apart.What energy density does it produce between the plates? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

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A pair of charged conducting plates produces a uniform E⃗\vec { E } field of 12,000 N/C,directed to the right,between the plates.The separation of the plates is 40 mm.An electron is projected from plate A,directly toward plate B,with an initial speed of v0 = 2.0 × 107 m/s.What is the speed of the electron as it strikes plate B? (e = 1.6 × 10-19 C,melectron = 9.11 × 10-31 kg)  A pair of charged conducting plates produces a uniform  \vec { E }  field of 12,000 N/C,directed to the right,between the plates.The separation of the plates is 40 mm.An electron is projected from plate A,directly toward plate B,with an initial speed of v<sub>0</sub> = 2.0 × 10<sup>7</sup> m/s.What is the speed of the electron as it strikes plate B? (e = 1.6 × 10<sup>-19</sup> C,m<sub>electron</sub> = 9.11 × 10<sup>-31</sup> kg)

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A small styrofoam ball of mass 0.120 g is placed at rest in an E⃗\vec { E } field of 6000 N/C pointing downward.What excess charge must be placed on the ball for it to remain suspended in the field?

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