Exam 20: Electric Potential and Electric

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How much work is needed to carry an electron from the positive terminal to the negative terminal of a 9.0-V battery.(e = 1.60 × 10-19 C ,melectron = 9.11 × 10-31 kg)

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An air-filled capacitor carries enough charge to store An air-filled capacitor carries enough charge to store   Of potential energy.It is then accidentally filled with water in such a way as not to discharge its plates.How much energy does it continue to store after it is filled? The dielectric constant for water is 78 and for air it is 1.0006. Of potential energy.It is then accidentally filled with water in such a way as not to discharge its plates.How much energy does it continue to store after it is filled? The dielectric constant for water is 78 and for air it is 1.0006.

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Which of the following changes will increase the capacitance of a parallel-plate capacitor? (There could be more than one correct choice. )

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An air-filled capacitor has a potential difference between the plates of 80 V.If the charge on each of the plates of the capacitor has magnitude 8.0 μC,what is the electrical energy stored by this capacitor?

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Which of the following will increase the capacitance of a parallel-plate capacitor? (There could be more than one correct choice. )

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A 4.0-g bead carries a charge of 20 μC.The bead is accelerated from rest through a potential difference V,and afterward the bead is moving at 2.0 m/s.What is the magnitude of the potential difference V?

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As a proton moves in the direction the electric field lines

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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 difference VA - VB? (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 difference V<sub>A</sub> - V<sub>B</sub>? (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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Two isolated copper plates,each of area 0.40 m2,carry opposite charges of magnitude 7.08 × 10-10 C.They are placed opposite each other in parallel alignment,with a spacing of 4.0 cm between them.What is the potential difference between the plates? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

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If a Cu2+ ion that is initially at rest accelerates through a potential difference of 12 V without friction,how much kinetic energy will it gain? (e = 1.60 × 10-19 C)

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An electron is released from rest at a distance of 9.00 cm from a fixed proton.How fast will the electron be moving when it is 3.00 cm from the proton?,(k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2, An electron is released from rest at a distance of 9.00 cm from a fixed proton.How fast will the electron be moving when it is 3.00 cm from the proton?,(k = 1/4πε0 = 8.99 × 109 N ∙ m<sup>2</sup>/C<sup>2</sup>,<sup> </sup> <sup> </sup>   ,  , An electron is released from rest at a distance of 9.00 cm from a fixed proton.How fast will the electron be moving when it is 3.00 cm from the proton?,(k = 1/4πε0 = 8.99 × 109 N ∙ m<sup>2</sup>/C<sup>2</sup>,<sup> </sup> <sup> </sup>   ,

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The figure shows an arrangement of two particles each having charge Q = -6.8 nC and each separated by 5.0 mm from a proton.If the two particles are held fixed at their locations and the proton is set into motion as shown,what is the minimum speed the proton needs to totally escape from these particles? (mproton = 1.67 × 10-27 kg,e = 1.60 × 10-19 C,k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2) The figure shows an arrangement of two particles each having charge Q = -6.8 nC and each separated by 5.0 mm from a proton.If the two particles are held fixed at their locations and the proton is set into motion as shown,what is the minimum speed the proton needs to totally escape from these particles? (m<sub>proton</sub> = 1.67 × 10<sup>-27</sup> kg,e = 1.60 × 10<sup>-19</sup> C,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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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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The square plates of a 3000-pF parallel-plate capacitor measure 40 mm by 40 mm and are separated by a dielectric that is 0.29 mm thick and completely fills the region between the plates.What is the dielectric constant of the dielectric? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

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When the potential difference between the plates of an ideal air-filled parallel plate capacitor is 35 V,the electric field between the plates has a strength of 750 V/m.If the plate area is 4.0 × 10-2 m2,what is the capacitance of this capacitor? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

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Two point charges of +2.00 μC and +4.00 μC are at the origin and at the point x = 0.000 m,y = -0.300 m,as shown in the figure.What is the electric potential due to these charges,relative to infinity,at the point P at x = 0.400 m on the x-axis? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2) Two point charges of +2.00 μC and +4.00 μC are at the origin and at the point x = 0.000 m,y = -0.300 m,as shown in the figure.What is the electric potential due to these charges,relative to infinity,at the point P at x = 0.400 m on the x-axis? (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 6.0-μF air-filled capacitor is connected across a 100-V potential source (a battery).After the battery fully charges the capacitor,it is left connected and the capacitor is immersed in transformer oil,which has a dielectric constant of 4.5.How much additional charge flows from the battery onto the capacitor during this process?

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The potential difference between the plates of an ideal air-filled parallel-plate capacitor with a plate separation of 6.0 cm is 60 V.What is the strength of the electric field between the plates of this capacitor?

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Two 5.0-µC point charges are 12 cm apart.What is the electric potential (relative to infinity)of this combination at the point where the electric field due to these charges is zero? Two 5.0-µC point charges are 12 cm apart.What is the electric potential (relative to infinity)of this combination at the point where the electric field due to these charges is zero?

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At a distance d from a point charge Q,the energy density in its electric field is u.If we double the charge,what is the energy density at the same point?

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