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Unformatted text preview: Electromagnetics Workshop – Week 3 Solutions Coulomb’s Law: Electrostatic Force, Electric Field Problem 1: Three point charges each with 3 q = [nC], are located at the corners of a triangle in the x-y plane, with one corner at the origin, another at (2 cm, 0, 0), and the third at (0, 2 cm, 0). Find the force acting on the charge located at the origin. 1 x y 3 2 1 Electromagnetics Workshop – Week 3 Solutions Coulomb’s Law: Electrostatic Force, Electric Field Problem 2: Two small, identical, electrically charged conducting spheres of mass 2.5 [g] and charge Q are suspended by weightless, non-conducting strings of length 12 [cm], as shown below. At equilibrium, the strings make an angle 30 θ = ° from vertical. What is the charge Q on each of the spheres? From the diagram, we can see that: sin θ = F T and cos m θ = = W g T . Hence we can write sin tan cos m m g θ θ θ = = F g . We also know that 1 2 12 12 2 ˆ 4 q q r π ε = F R , so 2 2 4 Q r π ε = F in this problem with 2 sin r l θ...
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- Fall '08
- Electromagnet, Sin, Electric charge, dz