Exam 25: Electric Potential

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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 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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Identical point charges (+30 μC)are placed at the corners of a rectangle (4.0 m × 6.0 m).How much external energy is required to bring a charge of 55 μC from infinity to the midpoint of one of the 6.0-m long sides of the rectangle?

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A particle (mass = 6.7 × 10−27 kg,charge = 3.2 × 10−19 C)moves along the positive x axis with a speed of 4.8 × 105 m/s.It enters a region of uniform electric field parallel to its motion and comes to rest after moving 2.0 m into the field.What is the magnitude of the electric field?

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Point charges q and Q are positioned as shown.If q = +2.0 nC,Q = −2.0 nC,a = 3.0 m,and b = 4.0 m,what is the electric potential difference,VA − VB? Point charges q and Q are positioned as shown.If q = +2.0 nC,Q = −2.0 nC,a = 3.0 m,and b = 4.0 m,what is the electric potential difference,V<sub>A</sub> − V<sub>B</sub>?

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A solid conducting sphere (radius = 5.0 cm)has a charge of 0.25 nC distributed uniformly on its surface.If point A is located at the center of the sphere and point B is 15 cm from the center,what is the magnitude of the electric potential difference between these two points?

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A series of 3 uncharged concentric shells surround a small central charge q.The charge distributed on the outside of the third shell is

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Points A [at (3,6)m] and B [at (8,−3)m] are in a region where the electric field is uniform and given by Points A [at (3,6)m] and B [at (8,−3)m] are in a region where the electric field is uniform and given by   N/C)What is the electric potential difference V<sub>A</sub> − V<sub>B</sub>? N/C)What is the electric potential difference VA − VB?

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A series of n uncharged concentric spherical conducting shells surround a small central charge q.The potential at a point outside the nth shell,at distance r from the center,and relative to V = 0 at ∞,is

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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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Two identical particles,each with a mass of 4.5 μg and a charge of 30 nC,are moving directly toward each other with equal speeds of 4.0 m/s at an instant when the distance separating the two is equal to 25 cm.How far apart will they be when closest to one another?

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A proton (m = 1.7 × 10−27 kg,q = +1.6 × 10−19 C)starts from rest at point A and has a speed of 40 km/s at point B.Only electric forces act on it during this motion.Determine the electric potential difference VB − VA.

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When introduced into a region where an electric field is present,a proton with initial velocity When introduced into a region where an electric field is present,a proton with initial velocity   Will eventually move Will eventually move

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

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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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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 of 40 pC is distributed on an isolated spherical conductor that has a 4.0-cm radius.Point A is 1.0 cm from the center of the conductor and point B is 5.0 cm from the center of the conductor.Determine the electric potential difference VA − VB.

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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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