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SP212/3321&5521 Chapter 24 - Worksheet #2 Question 1: A charged rod with a linear charge density of λ = +3.5 × 10−6 C/m is bent into a semi-circle of radius 0.35 m that subtends and angle of 80◦ . What is the electric potential at point P , which is at the center of the circle? 5 0.3 m 80◦ P Question 2: A conducting sphere of radius R1 =0.20 m carries an initial charge of Q=0.25 C. This sphere is then connected by a thin conducting wire to a smaller conducting sphere, initially uncharged, with a radius of R2 =0.10 m that is far away. (Charges will then flow between the spheres until they are at the same electric potential.) How much charge is on each sphere now? What is the surface charge density (σ) on each sphere now? Question 3: The figure below plots the Ex vs. x for a region where the electric field is along the x-direction. A particle with q=+0.25 C has a kinetic energy of Ki =5.0 J when it is located at x=0. What is its kinetic energy when it is located at x=6.0 m? 4 Ex [N/C] 2 0 −2 −4 0 2 4 6 x [m] 8 10