Exam 16: The Electric Field

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A dielectric material such as paper is inserted between the plates of a capacitor as the capacitor holds a fixed charge on its plates.What happens to the electric field between the plates as the dielectric is inserted?

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The E⃗\vec { E } field at a point 2.8 cm from a small object points toward the object and is equal to 180,000 N/C.What is the object's charge q? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

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A -6.5-µC point charge is 8.0 cm from a -17-µC charge.What is the electric energy density at the point midway between them? (ε0 = 8.85 × 10-12 C2/N ∙ m2,k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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The three point charges shown in the figure form an equilateral triangle with sides 4.9 cm long.What is the electric potential (relative to infinity)at the point indicated with the dot,which is equidistant from all three charges? Assume that the numbers in the figure are all accurate to two significant figures.(k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2) The three point charges shown in the figure form an equilateral triangle with sides 4.9 cm long.What is the electric potential (relative to infinity)at the point indicated with the dot,which is equidistant from all three charges? Assume that the numbers in the figure are all accurate to two significant figures.(k = 1/4πε<sub>0</sub> = 9.0 × 10<sup>9</sup> N ∙ m<sup>2</sup>/C<sup>2</sup>)

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Point charges +4.00 μC and +2.00 μC are placed at the opposite corners of a rectangle as shown in the figure.What is the potential at point A,relative to infinity,due to these charges? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2) Point charges +4.00 μC and +2.00 μC are placed at the opposite corners of a rectangle as shown in the figure.What is the potential at point A,relative to infinity,due to these charges? (k = 1/4πε<sub>0</sub> = 8.99 × 10<sup>9</sup> N ∙ m<sup>2</sup>/C<sup>2</sup>)

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A 6.9 μC negative point charge has a positively charged particle in an elliptical orbit about it.If the mass of the positively charged particle is 1.0μg1.0 \mu \mathrm { g } and its distance from the point charge varies from 4.0 mm4.0 \mathrm {~mm} to 16.0 mm16.0 \mathrm {~mm} ,what is the maximum potential difference through which the positive object moves? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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A parallel-plate air-filled capacitor is made from two plates that are 0.070 m on each side and spaced 9.2 mm apart.What must the potential difference between the plates be to produce an energy density of 0.062 J/m30.062 \mathrm {~J} / \mathrm { m } ^ { 3 } in the region between them? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

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A proton is placed in an electric field E = 800 N/C.What are the magnitude and direction of the acceleration of the proton due to this field? (e = 1.60 × 10-19 C,mproton = 1.67 × 10-27 kg)

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An ideal parallel-plate capacitor consists of two parallel plates of area A separated by a distance d.This capacitor is connected to a battery that maintains a constant potential difference across the plates.If the separation between the plates is now doubled,the amount of electrical energy stored on the capacitor will

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Doubling the capacitance of a capacitor that is holding a constant charge causes the energy stored in that capacitor to

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If the result of your calculations for a quantity has SI units of C2 ∙ s2/(kg ∙ m2),that quantity could be

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