Exam 25: Electric Potential

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Identical point charges (+50 μC) are placed at the corners of a square with sides of 2.0-m length. How much external energy is required to bring a fifth identical charge from infinity to the geometric center of the square?

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Charge of uniform density 50 nC/m3 is distributed throughout the inside of a long nonconducting cylindrical rod (radius = 5.0 cm). Determine the magnitude of the potential difference of point A (2.0 cm from the axis of the rod) and point B (4.0 cm from the axis).

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Four identical point charges (+4.0 μC) are placed at the corners of a square which has 20-cm sides. How much work is required to assemble this charge arrangement starting with each of the charges a very large distance from any of the other charges?

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Can the lines in the figure below be equipotential lines? Can the lines in the figure below be equipotential lines?

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Four electrons move from point A to point B in a uniform electric field as shown below. Rank the electrons in diagrams I through IV by the changes in potential from most positive to most negative when traveling from A to B. Four electrons move from point A to point B in a uniform electric field as shown below. Rank the electrons in diagrams I through IV by the changes in potential from most positive to most negative when traveling from A to B.

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A charge of 4.0 nC is distributed uniformly along the x axis from x = +4 m to x = +6 m. Which of the following integrals is correct for the electric potential (relative to zero at infinity) at the origin?

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An electron is released form rest in a region of space where a uniform electric field is present. Joanna claims that its kinetic and potential energies both increase as it moves from its initial position to its final position. Sonya claims that they both decrease. Which one, if either, is correct?

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A long straight metal rod has a radius of 2.0 mm and a surface charge of density 0.40 nC/m2. Determine the magnitude of the electric field 3.0 mm from the axis.

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The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a0 = 0.529 × 10−10 m. The electric potential created by the proton at the position of the electron is

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A charge of +3.0 μC is distributed uniformly along the circumference of a circle with a radius of 20 cm. How much external energy is required to bring a charge of 25μC from infinity to the center of the circle?

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The electric potential at the surface of a charged conductor

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Which statement is always correct when applied to a charge distribution located in a finite region of space?

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When a positive charge is released and moves along an electric field line, it moves to a position of

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A 60-μC charge is held fixed at the origin and a −20-μC charge is held fixed on the x axis at a point x = 1.0 m. If a 10-μC charge is released from rest at a point x = 40 cm, what is its kinetic energy the instant it passes the point x = 70 cm?

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A particle (charge = Q) is kept in a fixed position at point P, and a second particle (charge = q) is released from rest when it is a distance R from P. If Q = +2.0 mC, q = −1.5 mC, and R = 30 cm, what is the kinetic energy of the moving particle after it has moved a distance of 10 cm?

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An alpha particle (m = 6.7 × 10−27 kg, q = +3.2 × 10−19 C) has a speed of 20 km/s at point A and moves to point B where it momentarily stops. Only electric forces act on the particle during this motion. Determine the electric potential difference VA − VB.

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A charge per unit length given by λ(x) = bx, where b = 12 nC/m2, is distributed along the x axis from x = +9.0 cm to x = +16 cm. If the electric potential at infinity is taken to be zero, what is the electric potential at the point P on the y axis at y = 12 cm?

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Identical 8.0-μC point charges are positioned on the x axis at x = ±1.0 m and released from rest simultaneously. What is the kinetic energy of either of the charges after it has moved 2.0 m?

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A positive point charge q is placed at the center of an uncharged metal sphere insulated from the ground. The outside of the sphere is then grounded as shown. Then the ground wire is removed. A is the inner surface and B is the outer surface. Which statement is correct? A positive point charge q is placed at the center of an uncharged metal sphere insulated from the ground. The outside of the sphere is then grounded as shown. Then the ground wire is removed. A is the inner surface and B is the outer surface. Which statement is correct?

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An infinite plane of charge with An infinite plane of charge with   is tilted at a 45° angle to the vertical direction as shown below. The potential difference, V<sub>A</sub> − V<sub>B</sub>, in volts, between points A and B, a 4.50 m distance apart, is  is tilted at a 45° angle to the vertical direction as shown below. The potential difference, VA − VB, in volts, between points A and B, a 4.50 m distance apart, is An infinite plane of charge with   is tilted at a 45° angle to the vertical direction as shown below. The potential difference, V<sub>A</sub> − V<sub>B</sub>, in volts, between points A and B, a 4.50 m distance apart, is

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