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Three charged, concentric, partial-circle thin rings are placed with the origin of the coordinate system at their centers. The outer positively charged three-quarter-circle thin ring (shown in red) has a radius R3 and a uniform linear charge density of As. The middle positively charged semi-cirele thin ring (shown in blue) has a radius R2 and a uniform linear charge density of A. The inner positively charged quarter-circle thin ring (shown in green) has a radius Ri and a uniform linear charge density of i. a. Calculate the total electric potential (i.e., voltage) at the "center" of the two rings. (Express your answer in terms of and b. If a positive point charge, q, is brought in from yery far away and placed at the center of the ring, calculate the change in electric potential energy for the system. R1 R2 RI

Three charged, concentric, partial-circle thin rings are placed with the origin of the coordinate system at their centers. The outer positively charged three-quarter-circle thin ring (shown in red) has a radius R3 and a uniform linear charge density of As. The middle positively charged semi-cirele thin ring (shown in blue) has a radius R2 and a uniform linear charge density of A. The inner positively charged quarter-circle thin ring (shown in green) has a radius Ri and a uniform linear charge density of i. a. Calculate the total electric potential (i.e., voltage) at the "center" of the two rings. (Express your answer in terms of and b. If a positive point charge, q, is brought in from yery far away and placed at the center of the ring, calculate the change in electric potential energy for the system. R1 R2 RI

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Three charged, concentric, partial-circle thin rings are placed with the origin of the coordinate system at their centers. The outer positively charged three-quarter-circle thin ring (shown in red) has a radius R3 and a uniform linear charge density of A. The middle positively charged semi-circle thin ring (shown in blue) has a radius R2 and a uniform linear charge density of 2. The inner positivelỵ charged quarter-circle thin ring (shown in green) has a radius R1 and a uniform linear charge density of i. a. Calculate the total electric potential (i.e., voltage) at the “center" of the two rings. {Express your answer in terms of 2, d and A b. If a positive point charge, q, is brought in from very far away and placed at the center of the ring, calculate the change in electric potential energy for the system. R2 RI
Transcribed Image Text:Three charged, concentric, partial-circle thin rings are placed with the origin of the coordinate system at their centers. The outer positively charged three-quarter-circle thin ring (shown in red) has a radius R3 and a uniform linear charge density of A. The middle positively charged semi-circle thin ring (shown in blue) has a radius R2 and a uniform linear charge density of 2. The inner positivelỵ charged quarter-circle thin ring (shown in green) has a radius R1 and a uniform linear charge density of i. a. Calculate the total electric potential (i.e., voltage) at the “center" of the two rings. {Express your answer in terms of 2, d and A b. If a positive point charge, q, is brought in from very far away and placed at the center of the ring, calculate the change in electric potential energy for the system. R2 RI
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