•14 Consider a particle with charge q= 1.0 µC, point A at distancedi = 2.0 m from q, and point B at distance dz = 1.0 m. (a) If A and Bare diametrically opposite each other, as in Fig. 24-36a, what is theelectric potential difference VA - VB? (b) What is that electricpotential difference if A and B are located as in Fig. 24-36b?d,-p-(a)(b)

given : d1 = 2.0 m d2 = 1.0 m q = 1.0 μC = 10-6 C Electric potential due to…

Answered: •14 Consider a particle with charge q=…

University Physics Volume 2

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ISBN:9781938168161

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Chapter7: Electric Potential

Section: Chapter Questions

Problem 12CQ: Can a particle move in a direction of increasing electric potential, yet have its electric potential...

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Similar questions

Sketch the equipotential lines for the two equal positive charges shown in Figure 19.27. Indicate the direction of increasing potential. Figure 19.27 The electric field near two equal positive charges is directed away from each of the charges.
Sketch the equipotential lines in the vicinity of two opposite charges, where the negative charge is three times as great in magnitude as the positive. See Figure 19.28 for a similar situation. Indicate the direction of increasing potential.
Consider a charge Q1(1+5.0C) fixed at a site with another charge Q2 (Charge +3.0C , mass 6.0g ) moving in die neighboring space, (a) Evaluate die potential energy of Q2 when it is 4.0 cm from Q1 (b) If Q2 starts from rest from a point 4.0 cm from Q1what will be its speed when it is 8.0 cm from Q1 ? (Note: Q1 is held fixed in its place.)
Sketch the equipotential lines a long distance from the charges shown in Figure 19.28. Indicate the direction of increasing potential. Figure 19.28 The electric field near two charges.
Sketch the equipotential lines in the vicinity of the negatively charged conductor in Figure 19.29. How will these equipotentials look a long distance from the object? Figure 19.29 A negatively charged conductor.
Check Your Understanding Is the electrical potential energy of two point charges positive or negative if the charges are of the same sign? Opposite signs? How does this relate to the work necessary to bring the charges into proximity from infinity?
Check Your Understanding What is the potential energy of Q relative to the zero reference at infinity at r2 in the above example?
Sketch the equipotential lines surrounding the two conducting plates shown in Figure 19.30, given the top plate is positive and the bottom plate has an equal amount of negative charge. Be certain to indicate the distribution of charge on the plates. Is the field strongest where the plates are closest? Why should it be? Figure 19.30
Two very large metal plates are placed 2.0 cm apart, with a potential difference of 12 V between them. Consider one plate to be at 12 V, and the other at 0 V. (a) Sketch the equipotential surfaces for 0, 4, 8, and 12 V. (b) Next sketch in some electric field lines, and confirm that they are perpendicular to the equipotential lines.
If a proton is released from rest in an electric field, will it move in the direction of increasing or decreasing potential? Also answer this question for an electron and a neutron. Explain why.
Two particles each with charge +2.00 C are located on the x axis. One is at x = 1.00 m, and the other is at x = 1.00 m. (a) Determine the electric potential on the y axis at y = 0.500 m. (b) Calculate the change in electric potential energy of the system as a third charged particle of 3.00 C is brought from infinitely far away to a position on the y axis at y = 0.500 m.
Consider two conducting spheres with radii R1 and R2 separated by a distance much greater than cither radius. A total charge Q is shared between the spheres. We wish to show that when the electric potential energy of the system has a minimum value, the potential difference between the spheres is zero. The total charge Q is equal to q1 + q2, where q1 represents the charge on the first sphere and q2 the charge on the second. Because the spheres are very far apart, you can assume the charge of each is uniformly distributed over its surface. (a) Show that the energy associated with a single conducting sphere of radius R and charge q surrounded by a vacuum is UE = keq2/2R. (b) Find the total energy of the system of two spheres in terms of the total charge Q, and the radii and R1 and R2. (c) To minimize the energy, differentiate the result to part (b) with respect to q1 and set the derivative equal to zero. Solve for q1 in terms of Q and the radii. (d) From the result to part (c), find the charge q2. (e) Find the potential of each sphere. (f) What is the potential difference between the spheres?

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