Subjects

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Electric Potential Energy | 8 mins | 0 completed | Learn Summary |

Electric Potential | 30 mins | 0 completed | Learn Summary |

Work From Electric Force | 32 mins | 0 completed | Learn |

Relationships Between Force, Field, Energy, Potential | 28 mins | 0 completed | Learn |

The ElectronVolt | 6 mins | 0 completed | Learn |

Equipotential Surfaces | 12 mins | 0 completed | Learn |

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Concept #1: Electric Potential Energy

A point charge q1 = 4.00 nC is placed at the origin. A second point charge q 2 = -3.00 nC is placed on the x-axis at x = 20.0 cm. A third point charge q3 = 2.00 nC is placed on the x-axis between q1 and q2. Assume that the potential energy of the three charges is zero when they are infinitely far apart. Determine the electric potential energy of the system of the three charges if q3 is placed at x = 10.0 cm.

A system of charges are shown in the figure. What is the electric potential energy of the following system of charges?
1. U = kQ2 / ℓ
2. U = 0
3. U = kQ2 / 3ℓ
4. U = kQ2 / ℓ2
5. U = - kQ2 / 2ℓ
6. U = - kQ2 / ℓ
7. U = - kQ2 / 3ℓ
8. U = kQ2
9. None of these.
10. U = kQ2 / 2ℓ

Three point charges shown below are located at the vertices of an equilateral triangle. If the electric potential energy of two point charges is defined to be zero if the distance between them approaches infinity, the total electric potential energy of the system of those three charges is
A) Positive
B) Zero
C) Negative
D) All of the above

If a negative charge (-Q) is placed at point P in the above diagram, which situation minimizes the electric potential energy?A) Situation AB) Situation BC) Situation CD) Situation D

Three equal point charges, each with charge 1.35 μC, are placed at the vertices of an equilateral triangle whose sides are of length 0.250 m. What is the electric potential energy U of the system? (Take as zero the potential energy of the three charges when they are infinitely far apart.) Use ϵ0 = 8.85 x 10-12 C2/Nm2 for the permittivity of free space.

Four point charges form a square with sides of length d, as shown in the figure. In the questions that follow, use the constant k in place of .What will be the potential energy Utot of the system of charges when charge +2q is at a very large distance from the other charges? Express your answer in terms of q, d, and appropriate constants.

Two protons are released from rest when they are 0.750 nm apart.a) What is the maximum speed they will reach?

A proton has an initial speed of 3.9 × 105 m/s.What potential difference is required to reduce the initial speed of the proton by a factor of 3?_____ kV

A proton has an initial speed of 3.9 × 105 m/s.What potential difference is required to reduce the initial kinetic energy of the proton by a factor of 3?_____ kV

A 2.5 mm -diameter sphere is charged to -4.6 nC . An electron fired directly at the sphere from far away comes to within 0.35 mm of the surface of the target before being reflected.What was the electron's initial speed?At what distance from the surface of the sphere is the electron's speed half of its initial value?What is the acceleration of the electron at its turning point?

The graph in the figure shows the electric potential energy as a function of separation for two point charges.If one charge is +0.44 nC, what is the other charge?q=_____ nC

An alpha particle (α), which is the same as a helium-4 nucleus, is momentarily at rest in a region of space occupied by an electric field. The particle then begins to move. Find the speed of the alpha particle after it has moved through a potential difference of -3.45×10-3 V.The charge and the mass of an alpha particle are qα = 3.20x10 -19 C and mα 6.68x10-27 kg, respectively.What is the value of the change in potential energy, ΔU=Uf−Ui, of the alpha particle? Express your answer in joules using three significant figures.

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