Exam 1: The Electric Field I: Discrete Charge Distributions

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  A uniformly positively charged spherical conductor is placed midway between two identical uncharged conducting spheres. How would the charges in the middle sphere be distributed? A uniformly positively charged spherical conductor is placed midway between two identical uncharged conducting spheres. How would the charges in the middle sphere be distributed?

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The force between two very small charged bodies is found to be F. If the distance between them is doubled without altering their charges, the force between them becomes

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  An electric dipole of moment   is placed in a uniform external electric field as shown in the diagram. The dipole moment vector   is in the positive y direction. The external electric field vector   is in the positive x direction. If the dipole is to have minimum potential energy,   should be in the An electric dipole of moment   An electric dipole of moment   is placed in a uniform external electric field as shown in the diagram. The dipole moment vector   is in the positive y direction. The external electric field vector   is in the positive x direction. If the dipole is to have minimum potential energy,   should be in the is placed in a uniform external electric field as shown in the diagram. The dipole moment vector   An electric dipole of moment   is placed in a uniform external electric field as shown in the diagram. The dipole moment vector   is in the positive y direction. The external electric field vector   is in the positive x direction. If the dipole is to have minimum potential energy,   should be in the is in the positive y direction. The external electric field vector   An electric dipole of moment   is placed in a uniform external electric field as shown in the diagram. The dipole moment vector   is in the positive y direction. The external electric field vector   is in the positive x direction. If the dipole is to have minimum potential energy,   should be in the is in the positive x direction. If the dipole is to have minimum potential energy,   An electric dipole of moment   is placed in a uniform external electric field as shown in the diagram. The dipole moment vector   is in the positive y direction. The external electric field vector   is in the positive x direction. If the dipole is to have minimum potential energy,   should be in the should be in the

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Electrons

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  In the figure, the direction of the electric field at a point equidistant from two equally charged bodies A and B is indicated by a vector. The direction of the vector indicates that In the figure, the direction of the electric field at a point equidistant from two equally charged bodies A and B is indicated by a vector. The direction of the vector indicates that

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Use the picture for the next problem. Use the picture for the next problem.   A negatively charged particle moving with speed v enters a region of uniform electric field E. -If the charge q = 1 nC, mass m = 1 * 10<sup>-14</sup> kg, speed v = 10<sup>5</sup> m/s, the electric field strength E = 2 *10<sup>5</sup> V/m, and width, w, of the electric field is 0.2 m, what is the speed of the particle when it emerges from the other side? A negatively charged particle moving with speed v enters a region of uniform electric field E. -If the charge q = 1 nC, mass m = 1 * 10-14 kg, speed v = 105 m/s, the electric field strength E = 2 *105 V/m, and width, w, of the electric field is 0.2 m, what is the speed of the particle when it emerges from the other side?

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The Coulomb's force between a proton and an electron is 2.27*1039 times greater than the gravitational force. If the two forces were equal, what should the size of the elementary charge be

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An oil droplet of mass 1.00 *10-14 kg loses an electron while it is in an electric field of 1.00 *106 N/C. The resulting change in the acceleration of the oil droplet is approximately

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  Charges Q<sub>1</sub> = -q and Q<sub>2</sub> = +4q are placed as shown. Of the five positions indicated by the numbered dots, the one at which the electric field   is zero is Charges Q1 = -q and Q2 = +4q are placed as shown. Of the five positions indicated by the numbered dots, the one at which the electric field   Charges Q<sub>1</sub> = -q and Q<sub>2</sub> = +4q are placed as shown. Of the five positions indicated by the numbered dots, the one at which the electric field   is zero is is zero is

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A particular nucleus of the element plutonium contains 94 protons and 150 neutrons. What is the magnitude of the electric field at a distance of 0.563*10-12 m from the nucleus?

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Protons

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  If a charge of +2Q were placed at the origin (the crossing point of the vertical and horizontal lines) of the above figure, into which quadrant would it feel a net force? If a charge of +2Q were placed at the origin (the crossing point of the vertical and horizontal lines) of the above figure, into which quadrant would it feel a net force?

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Electric charges of the same sign

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  An electric dipole consists of a positive charge separated from a negative charge of the same magnitude by a small distance. Which, if any, of the diagrams best represents the electric field lines around an electric dipole? An electric dipole consists of a positive charge separated from a negative charge of the same magnitude by a small distance. Which, if any, of the diagrams best represents the electric field lines around an electric dipole?

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Three charges are located at 100-m intervals along a horizontal line: a charge of -3.0 C on the left, 2.0 C in the middle, and 1.0 C on the right. What is the electric field Three charges are located at 100-m intervals along a horizontal line: a charge of -3.0 C on the left, 2.0 C in the middle, and 1.0 C on the right. What is the electric field   on the horizontal line halfway between the -3.0 C and 2.0 C charges? on the horizontal line halfway between the -3.0 C and 2.0 C charges?

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  An electric dipole of moment   is placed in a uniform external electric field. The dipole moment vector   is in the positive y direction. The external electric field vector   is in the positive x direction. When the dipole is aligned as shown in the diagram, the net torque is in the An electric dipole of moment   An electric dipole of moment   is placed in a uniform external electric field. The dipole moment vector   is in the positive y direction. The external electric field vector   is in the positive x direction. When the dipole is aligned as shown in the diagram, the net torque is in the is placed in a uniform external electric field. The dipole moment vector   An electric dipole of moment   is placed in a uniform external electric field. The dipole moment vector   is in the positive y direction. The external electric field vector   is in the positive x direction. When the dipole is aligned as shown in the diagram, the net torque is in the is in the positive y direction. The external electric field vector   An electric dipole of moment   is placed in a uniform external electric field. The dipole moment vector   is in the positive y direction. The external electric field vector   is in the positive x direction. When the dipole is aligned as shown in the diagram, the net torque is in the is in the positive x direction. When the dipole is aligned as shown in the diagram, the net torque is in the

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   A bob of mass m (m = 0.500 g), and charge magnitude Q (Q = 50.0  \mu C) is held by a massless string in a uniform electric field E. If the bob makes an angle of 10.0 degrees with the vertical, then calculate the magnitude of the electric field E and the sign of the bob charge Q. A bob of mass m (m = 0.500 g), and charge magnitude Q (Q = 50.0 μ\mu C) is held by a massless string in a uniform electric field E. If the bob makes an angle of 10.0 degrees with the vertical, then calculate the magnitude of the electric field E and the sign of the bob charge Q.

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  Three positive and equal charges Q<sub>1</sub>, Q<sub>2</sub>, and Q<sub>3</sub> are at the corners of an equilateral triangle as shown. Point P is at the midpoint of the line between Q<sub>1</sub> and Q<sub>3</sub>. The electric field at P is Three positive and equal charges Q1, Q2, and Q3 are at the corners of an equilateral triangle as shown. Point P is at the midpoint of the line between Q1 and Q3. The electric field at P is

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A proton is moving horizontally north in an electric field that points vertically upward. The electric force on the proton is

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In a uniform electric field a proton has

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