Given the following system of point charges: a positive point charge +q is placed in the middle,while three negative point charges -q are placed at equal distance from each other and at equaldistance R from +q.-9R+9-9Given that q = 13 x 10-9 C and R = 0.6 μm find the work required to construct this systemof charges.

Answered: Image /qna-images/answer/bede5707-5934-49dd-a442-2f648f71bf10.jpg

Answered: Given the following system of point…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

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Chapter7: Electric Potential

Section: Chapter Questions

Problem 92AP: A glass ring of radius 5.0 cm is painted with a charged paint such that the charge density around...

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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.
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?
A point charge of q=50108 C is placed at the center of an uncharged spherical conducting shell of inner radius 6.0 cm and outer radius 9.0 cm. Find the electric potential at (a) r = 4,0cm, (b) r = 8.0 cm, (c) r — 12.0 cm.
Three charges are situated at corners of a rectangle as in Figure P16.13. How much work must an external agent do to move the 8.00-C charge to infinity? Figure P16.13 Problems 13 and 14.
Check Your Understanding What are the equipotential surfaces for an infinite line charge?
Check Your Understanding The capacitance of a parallel-plate capacitor is 2.0 pF. If the area of each plate is 2.4 cm2, what is the plate separation?
A large metal plate is charged uniformly to a density of a=2.0109C/m2 . How far apart are the equipotential surfaces that represent a potential difference of 25 V?
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.
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
A parallel-plate capacitor with capacitance 5.0F is charged with a 12.0-V battery, after which the battery is disconnected. Determine the minimum work required to increase the separation between the plates by a factor of 3.
Two particles, with charges of 20.0 nC and 20.0 nC, are placed at the points with coordinates (0, 4.00 cm) and (0, 4.00 cm) as shown in Figure P20.19. A particle with charge 10.0 nC is located at the origin. (a) Find the electric potential energy of the configuration of the three fixed charges. (b) A fourth particle, with a mass of 2.00 1013 kg and a charge of 40.0 nC, is released from rest at the point (3.00 cm, 0). Find its speed after it has moved freely to a very large distance away.
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.

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