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(3) A point charge of 10 nC sits at the origin. [5 pts] (a) Sketch the point charge and it electric field lines. (b) Now sketch a spherical surface of radius 2 m that sits on the x-axis at x-4m. Assume there is no charge on the spherical surface. (Sketch in 2D i.e. include just the projection of the sphere on the x-y plane.) (c) How many of your drawn lines enter the spherical surface? (d) How many lines leave the spherical surface? (e) What is the net flux of the electric field due to the point charge through the spherical surface? (f) Now assume the sphere has a radius of 6 m. How many lines enter the spherical surface? How many lines leave the spherical surface? (g) What is the electric flux through the 6m sphere? (Provide a numerical value.)

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