Four identical charged particles (g = +20.0 μC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 57.0 cm and W = 14.0 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. J W
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We are given 4 charges which are identical. We are also given value of this charge. We have to find the change in potential energy when left bottom corner charge is brought with the other 3 charges at corners. This change is equal to work done in bringing this charge from infinity to this point against field of each charge.
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- Use the worked example above to help you solve this problem. A proton is released from rest at x = -2.60 cm in a constant electric field with magnitude 1.51 x 10³ N/C, pointing in the positive x-direction. (a) Calculate the change in potential energy when the proton reaches x = 5.35 cm. (b) An electron is now fired in the same direction from the same position. What is its change in electric potential energy if it reaches x = 12.60 cm? J (c) If the direction of the electric field is reversed and an electron is released from rest at X = 4.00 cm, by how much has its electric potential energy changed when it reaches x = 7.50 cm? EXERCISE Find the change in electric potential energy associated with the electron in part (b) as it goes on from x = 0.126 to x = -0.018 m. (Note that the electron must turn around and go back at some point. The location of the turning point is unimportant, because changes in potential energy depend only on the end points of the path.) ΔΡΕ = JProblem 18.18 A small particle has charge -6.60 μC and mass 2.50x104 kg. It moves from point A, where the electric potential is V₁ = 220 V, to point B, where the electric potential V₂ = 620 V. The electric force is the only force acting on the particle. The particle has a speed of 5.00 m/s at point A. Part A What is its speed at point B? Express your answer in meters per second to three significant figures. ID] ΑΣΦ Submit Part B Is it moving faster or slower at B than at A? Faster Slower Request Answer Submit Request Answer ? m/sTwo large metal parallel plates carry opposite charges of equal magnitude. They are separated by 45.0 mm, and the potential difference between them is 360 V. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Parallel plates and conservation of energy. What is the magnitude of the electric field (assumed to be uniform) in the region between the plates? Express your answer with the appropriate units. E- Value Submit Part B Request Answer F= Units What is the magnitude of the force this field exerts on a particle with charge +2.70 nC? Express your answer with the appropriate units. Value ? Units ?
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