Exercise 2 – 5 points y dQ 2 RS 0 9 P(0,0, zo) Figure 2: Explicative for Exercise 2. Let the configuration in Fig. 2, co

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Exercise 2 5 Points Y Dq 2 Rs 0 9 P 0 0 Zo Figure 2 Explicative For Exercise 2 Let The Configuration In Fig 2 Co 1 (254.42 KiB) Viewed 28 times

Exercise 2 – 5 points y dQ 2 RS 0 9 P(0,0, zo) Figure 2: Explicative for Exercise 2. Let the configuration in Fig. 2, consisting of: • a ring of radius R and negligible cross-section, centred at the origin and located in the z=0 plane; it carries electric charge with a nonuniform linear density given by the expression Qo = R sin(26 in which Qo = 2 mC and 4 is measured as in Fig. 2; • a point charge q=1uC, located along the z-axis, at zo = 0.3m. The configuration is considered in free space. a) Give an expression for the elementary charge d along an arc of infinitesimal angular extension dy (see figure) and derive the expression of the magnitude dF(zo) of the elementary force ex- erted by this elementary charge on the point charge q, by making use of Coulomb's constant k. (1.5 points) b) Infer from the figure's symmetry the orientation of the total force F(zo). (1 point) c) Determine the expression of the total force F(zo) as a function of R. (1.5 points) d) Determine the value of the radius R such |F = 1 N. (1 point) =