Posted: December 6th, 2023

If the electric field is zero everywhere inside a region of space

Physics 03-64-141Test #5, Assigned: Feb 14, Due: next week Monday (sec 01) or Tuesday (sec 02), 11:30 amshort IDFAMILY NAMEFIRST NAMEStudent IDPlease answer multiple choice questions in PENCIL NO2 on the officialMULTIPLE-CHOICE RESPONSE SHEET. Make sure that your name and student number iscorrect.Please answer longer questions on separate pages (separate from multiple-choice) andattach them to this page. Make sure that your name and student number is correct.On the due day please put your MULTIPLE-CHOICE RESPONSE SHEETS on separate pile,and your longer problem solutions on other separate pile.Please do not mix MULTIPLE-CHOICE RESPONSE SHEETS and your longer problemsolutions.Please keep copy (xero or photo) of whatever you submitting for future reference.I will not return this homework paper to you.ExamName___________________________________MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.1) If the electric field is zero everywhere inside a region of space, the potential must also be zero inthat region.A) TrueB) False1)2) When the electric field is zero at a point, the potential must also be zero there.A) TrueB) False2)3) If the electrical potential in a region is constant, the electric field must be zero everywhere in thatregion.A) TrueB) False3)4) If the electric potential at a point in space is zero, then the electric field at that point must also bezero.A) TrueB) False4)5) A negative charge, if free, will tend to moveA) from high potential to low potential.B) away from infinity.C) in the direction of the electric field.D) from low potential to high potential.E) toward infinity.5)6) Suppose a region of space has a uniform electric field, directed towards the right, as shown in thefigure. Which statement about the electric potential is true?6)A) The potential at point A is the highest, the potential at point B is the second highest, and thepotential at point C is the lowest.B) The potential at points A and B are equal, and the potential at point C is higher than thepotential at point A.C) The potential at all three locations ( A, B, C) is the same because the field is uniform.D) The potential at points A and B are equal, and the potential at point C is lower than thepotential at point A.17) Which statements are untrue for an electron moving in the direction of an electric field?A) Its electric potential energy increases as it goes from high to low potential.B) Its kinetic energy increases as it moves in the direction of the electric field.C) Its kinetic energy decreases as it moves in the direction of the electric field.D) Its electric potential energy decreases as it goes from high to low potential.E) Its potential energy increases as its kinetic energy decreases.7)8) Suppose you have two point charges of opposite sign. As you move them farther and farther apart,the potential energy of this system relative to infinityA) stays the same.B) decreases.C) increases.8)9) Suppose you have two negative point charges. As you move them farther and farther apart, thepotential energy of this system relative to infinityA) stays the same.B) decreases.C) increases.9)10) Two equal positive charges are held in place at a fixed distance. If you put a third positive chargemidway between these two charges, its electrical potential energy of the system (relative toinfinity) is zero because the electrical forces on the third charge due to the two fixed charges justbalance each other.B) FalseA) True10)11) A metallic sphere of radius 5 cm is charged such that the potential of its surface is 100 V (relative toinfinity). Which of the following plots correctly shows the potential as a function of distance fromthe center of the sphere?11)2A) plot WB) plot XC) plot YD) plot Z12) A conducting sphere of radius R carries an excess positive charge and is very far from any othercharges. Which one of the following graphs best illustrates the potential (relative to infinity)produced by this sphere as a function of the distance r from the center of the sphere?A)B)C)312)D)E)13) A nonconducting sphere contains positive charge distributed uniformly throughout its volume.Which statements about the potential due to this sphere are true? All potentials are measuredrelative to infinity. (There may be more than one correct choice.)A) The potential at the center of the sphere is zero.B) The potential at the surface is higher than the potential at the center.C) The potential is highest at the center of the sphere.D) The potential at the center is the same as the potential at infinity.E) The potential at the center of the sphere is the same as the potential at the surface.13)14) A conducting sphere contains positive charge distributed uniformly over its surface. Whichstatements about the potential due to this sphere are true? All potentials are measured relative toinfinity. (There may be more than one correct choice.)A) The potential is lowest, but not zero, at the center of the sphere.B) The potential at the center is the same as the potential at infinity.C) The potential at the center of the sphere is the same as the potential at the surface.D) The potential at the surface is higher than the potential at the center.E) The potential at the center of the sphere is zero.14)15) A negative charge is moved from point A to point B along an equipotential surface. Which of thefollowing statements must be true for this case?A) Work is required to move the negative charge from point A to point B.B) No work is required to move the negative charge from point A to point B.C) The work done on the charge depends on the distance between A and B.D) The negative charge performs work in moving from point A to point B.E) Work is done in moving the negative charge from point A to point B.15)416) The graph in the figure shows the variation of the electric potential V (measured in volts) as afunction of the radial direction r (measured in meters). For which range or value of r is themagnitude of the electric field the largest?16)A) at r = 4 mB) from r = 4 m to r = 6 mC) from r = 3 m to r = 4 mD) at r = 3 mE) from r = 0 m to r = 3 m17) The graph in the figure shows the variation of the electric potential V (x ) (in arbitrary units) as afunction of the position x (also in arbitrary units). Which of the choices below correctly describesthe orientation of the x‐component of the electric field along the x‐axis?A) Ex is positive from x = ‐2 to x = 0, and negative from x = 0 to x = 2.B) Ex is positive from x = ‐2 to x = 2.C) Ex is negative from x = ‐2 to x = 2.D) Ex is negative from x = ‐2 to x = 0, and positive from x = 0 to x = 2.517)18) The potential as a function of position x is shown in the graph in the figure. Which statementabout the electric field is true?A) The electric field is zero at x = 10 cm, its magnitude is at a maximum at x = 5 cm, and the fieldis directed to the left there.B) The electric field is zero at x = 5 cm, its magnitude is at a maximum at x = 0, and the field isdirected to the right there.C) The electric field is zero at x = 0, its magnitude is at a maximum at x = 5 cm, and the field isdirected to the right there.D) The electric field is zero at x = 0, its magnitude is at a maximum at x = 15 cm, and the field isdirected to the left there.618)

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