Exam 19: Electric Potential Energy and the Electric Potential

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19-5 Two charges of opposite sign and equal magnitude Q = 0.82 C are held 2.0 m apart as shown in the figure. 19-5 Two charges of opposite sign and equal magnitude Q = 0.82 C are held 2.0 m apart as shown in the figure.   -How much work is required to move a 1.0 C charge from infinity to the point P? -How much work is required to move a 1.0 C charge from infinity to the point P?

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A

The plates of a parallel plate capacitor each have an area of 0.40 m2 and are separated by a distance of 0.02 m.They are charged until the potential difference between the plates is 3000 V.The charged capacitor is then isolated. -Suppose that a dielectric sheet is inserted to completely fill the space between the plates and the potential difference between the plates drops to 1000 V.What is the capacitance of the system after the dielectric is inserted?

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C

Two point charges are located at two of the vertices of a right triangle, as shown in the figure.If a third charge -q is brought from infinity and placed at the third vertex, what will its electric potential energy be? Use the following values: a = 0.35 m; b = 0.65 m, and q = 3.0 × 10-6 C. Two point charges are located at two of the vertices of a right triangle, as shown in the figure.If a third charge -q is brought from infinity and placed at the third vertex, what will its electric potential energy be? Use the following values: a = 0.35 m; b = 0.65 m, and q = 3.0 × 10<sup>-</sup><sup>6</sup> C.

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B

The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey.Various points on the equipotential surfaces near the conductors are labeled A, B, C, ..., I. The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey.Various points on the equipotential surfaces near the conductors are labeled A, B, C, ..., I.   -What is the potential difference between points B and E? -What is the potential difference between points B and E?

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19-5 Two charges of opposite sign and equal magnitude Q = 0.82 C are held 2.0 m apart as shown in the figure. 19-5 Two charges of opposite sign and equal magnitude Q = 0.82 C are held 2.0 m apart as shown in the figure.   -Determine the magnitude of the electric field at the point P. -Determine the magnitude of the electric field at the point P.

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A charge is located at the center of sphere A (radius RA = 0.0010 m), which is in the center of sphere B (radius RB = 0.0012 m).Spheres A and B are both equipotential surfaces.What is the ratio VA/VB of the potentials of these surfaces?

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Complete the following statement: When a dielectric with constant κ\kappa is inserted between the plates of a charged isolated capacitor

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19-7 The sketch shows cross sections of equipotential surfaces between two charged conductors shown in solid black.Points on the equipotential surfaces near the conductors are labeled A, B, C, ..., H. 19-7 The sketch shows cross sections of equipotential surfaces between two charged conductors shown in solid black.Points on the equipotential surfaces near the conductors are labeled A, B, C, ..., H.   -What is the direction of the electric field at point E? -What is the direction of the electric field at point E?

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P and Q are points within a uniform electric field that are separated by a distance of 0.2 m as shown.The potential difference between P and Q is 75 V.   P and Q are points within a uniform electric field that are separated by a distance of 0.2 m as shown.The potential difference between P and Q is 75 V.   -Determine the magnitude of this electric field. -Determine the magnitude of this electric field.

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The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey.Various points on the equipotential surfaces near the conductors are labeled A, B, C, ..., I.  The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey.Various points on the equipotential surfaces near the conductors are labeled A, B, C, ..., I.   -How much work is required to move a -1.0  \mu C charge from A to E? -How much work is required to move a -1.0 μ\mu C charge from A to E?

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The figure below shows four parallel plate capacitors: A, B, C, and D.Each capacitor carries the same charge q and has the same plate area A.As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d.Capacitors A and B are maintained in vacuum while capacitors C and D contain dielectrics with constant κ\kappa = 5.    The figure below shows four parallel plate capacitors: A, B, C, and D.Each capacitor carries the same charge q and has the same plate area A.As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d.Capacitors A and B are maintained in vacuum while capacitors C and D contain dielectrics with constant  \kappa  = 5.   -Which capacitor is storing the greatest amount of electric potential energy? -Which capacitor is storing the greatest amount of electric potential energy?

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19-10 Two positive charges are located at points A and B as shown in the figure.The distance from each charge to the point P is a = 2.0 m. 19-10 Two positive charges are located at points A and B as shown in the figure.The distance from each charge to the point P is a = 2.0 m.   -Determine the electric potential at the point P. -Determine the electric potential at the point P.

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19-4 Two point charges are separated by 1.00 × 10-2 m.One charge is -2.8 × 10-8 C; and the other is +2.8 × 10-8 C.The points A and B are located 2.5 × 10-3 m from the lower and upper point charges as shown. 19-4 Two point charges are separated by 1.00 × 10<sup>-</sup><sup>2</sup> m.One charge is -2.8 × 10<sup>-</sup><sup>8</sup> C; and the other is +2.8 × 10<sup>-</sup><sup>8</sup> C.The points A and B are located 2.5 × 10<sup>-</sup><sup>3</sup> m from the lower and upper point charges as shown.   -If a proton, which has a charge of +1.60 × 10<sup>-</sup><sup>19</sup> C, is moved from rest at A to rest at B, what is change in electrical potential energy of the proton? -If a proton, which has a charge of +1.60 × 10-19 C, is moved from rest at A to rest at B, what is change in electrical potential energy of the proton?

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19-5 Two charges of opposite sign and equal magnitude Q = 0.82 C are held 2.0 m apart as shown in the figure. 19-5 Two charges of opposite sign and equal magnitude Q = 0.82 C are held 2.0 m apart as shown in the figure.   -Determine the electric potential at the point P. -Determine the electric potential at the point P.

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Two positive point charges are separated by a distance R.If the distance between the charges is reduced to R/2, what happens to the total electric potential energy of the system?

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A capacitor is initially charged to 3 V.It is then connected to a 6 V battery.What is the ratio of the final to the initial energy stored in the capacitor?

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The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey.Various points on the equipotential surfaces near the conductors are labeled A, B, C, ..., I.  The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey.Various points on the equipotential surfaces near the conductors are labeled A, B, C, ..., I.   -A point charge gains 50  \mu J of electric potential energy when it is moved from point D to point G.Determine the magnitude of the charge. -A point charge gains 50 μ\mu J of electric potential energy when it is moved from point D to point G.Determine the magnitude of the charge.

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A parallel plate capacitor has plates of area 2.0 × 10-3 m2 and plate separation 1.0 × 10-4 m.Determine the capacitance of this system if air fills the volume between the plates.

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19-7 The sketch shows cross sections of equipotential surfaces between two charged conductors shown in solid black.Points on the equipotential surfaces near the conductors are labeled A, B, C, ..., H. 19-7 The sketch shows cross sections of equipotential surfaces between two charged conductors shown in solid black.Points on the equipotential surfaces near the conductors are labeled A, B, C, ..., H.   -The magnitude of the charge on the plates of an isolated parallel plate capacitor is doubled.Which one of the following statements is true concerning the capacitance of this parallel-plate system? -The magnitude of the charge on the plates of an isolated parallel plate capacitor is doubled.Which one of the following statements is true concerning the capacitance of this parallel-plate system?

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The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey.Various points on the equipotential surfaces near the conductors are labeled A, B, C, ..., I. The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey.Various points on the equipotential surfaces near the conductors are labeled A, B, C, ..., I.   -At which of the labeled points will an electron have the greatest potential energy? -At which of the labeled points will an electron have the greatest potential energy?

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