Prob03 - b) Find the magnitude and direction of the...

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PHYS-1200 PHYSICS II SPRING 2006 Homework Problem for Class 3 The solution to this problem is to be turned in for grading at the class indicated above. To receive credit, you must show how you arrived at each of your answers, in a manner that can be understood by the grader. The figure shows, in cross section, two identical solid spheres that are just touching. Each has a charge of + Q uniformly distributed throughout its volume, and each has a radius R . The centers of both spheres lie on the x axis of the coordinate system shown, and the origin of the coordinate system is at the center on the sphere on the left. a) Find the magnitude and direction of the electric field E at the origin of the coordinate system. Express your answer in terms of R, Q, and constants (e.g. π , ε 0 , etc.).
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Unformatted text preview: b) Find the magnitude and direction of the electric field E at the point where the two spheres touch. Again, express your answer in terms of R, Q, and constants (e.g. , , etc.). c) Find an expression for the electric field E as a function of x , for any point on the x axis between x = 0 and x = R . Express your answer in terms of x , R, Q, and constants (e.g. , , etc.). d) The electric field at a point on the x axis between x = 0 and x = R , can point in the positive x direction or the negative x direction, depending on the value of x . At what value of x , between x = 0 and x = R , does the electric field along the x axis have its maximum value directed in the positive x direction? Express your answer as a multiple of R ....
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