Four identical charged particles (q= +14.0 μC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 61.0 cm and W = 13.0 cm. Calculate the change in electric potential energy of the system as the particle at the lower left corner in the figure is brought to this position from infinitely far away. Assume the other three particles in the figure below remain fixed in position. W -+-x

You place a particle of charge q at the origin and another of -2q at x = -d m. a. Write an expression for the potential at some arbitrary distance xp from the origin on the x axis. b. Similar to a), write an expression for the electric field anywhere along x axis. ) A thin wire carries uniform charge q and is shaped into a circle of radius R. a. What is the magnitude of the electric field at the center of the circle? (Hint: this one should be quick!) b. What is the value of the potential (referenced to 0 at infinity) at the center? ) Consider an infinitely long cylinder with radius R and uniform surface charge density o. a. Find the magnitude of the electric field at a distance s from the axis of the cylinder for s R. c. Using your answer to part b, find the potential difference between two points: s= a and s = b. A thin rod of length 1 carries a uniformly distributed charge q. The rod lies on the x axis with its near end at x = +d and the far end of the rod at x = d+l. a. What is the…

Particles A, B, C, and D in (Figure 1) each carry a charge of magnitude 1.0 nC. Express your answer with the appropriate units. U = 0 J Submit Previous Answers Part C Correct Calculate the electric potential energy for the charge distribution in this 3.0-m square if B and C are positive and A and D are negative. Express your answer with the appropriate units. ΜΑ ? U = Value Units Submit Request Answer <1 of 1 Part D Calculate the electric potential energy for the charge distribution in this 3.0-m square if A and C are positive and B and D are negative. Express your answer with the appropriate units. Figure A+ +B HA ? U = Value Units

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Part A Near the surface of the Earth there is an electric field of about 150 V/m which points downward. Two identical balls with mass 0.467 kg are dropped from a height of 2.37 m, but one of the balls is positively charged with g = 412 µC , and the second is negatively charged with q2=-412 µC. Use conservation of energy to determine the difference in the speeds of the two balls when they hit the ground. (Neglect air resistance.) Express your answer using three significant figures. V AEO ? V4 -v_ = m/s Submit Request Answer

Problem 18.17 - Enhanced - with Solution You may want to review (Page). For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Parallel plates and conservation of energy. Part A An electron is to be accelerated from a velocity of 3.50x 10 m/s to a velocity of 7.50x105 m/s. Through what potential difference must the electron pass to accomplish this? for Panze for Partido for Part redo foart A refor Part A keyboard shortcuts for Part A help for Part. A Viniital - Viinal= Submit Part B Request Answer Through what potential difference must the electron pass if it is to be slowed from 7.50x105 m/s to a halt? Vinitial - Vinal= Submit for Partfondo for Part redo folet B reor Part B keyboard shortcuts for Part B help for Part B Request Answer V

Part A The voltage across a 4 μF capacitor increases by 48 V. If the final charge on the capacitor is 507 μC, determine the initial charge. Q₁ = Part B Two parallel plates each have a charge magnitude of 601 nC. Between the plates is a dielectric with K = 86. Additionally, the E-field between the plates is 7.81x105 V/m. Determine the area of each plate. A= Part C A capacitor with no dielectric has an E-field of 88 kV/mm between the plates. The area of each plate is 46.3 cm² and the voltage across the capacitor is 1.5 V. Determine the capacitance. C=