PhysicsLAB: 2011 B2

AP Free Response Question
2011 B2

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An isolated, solid copper sphere of radius R₁ = 0.12 m has a positive charge of 6.4 x 10^-9 C.

	(a) i. Calculate the electric potential at a point 0.10 m from the center of the sphere.

	(a) ii. Calculate the electric potential at a point 0.24 m from the center of the sphere.

	(b) On the axes below, sketch a graph of electric potential V versus radius r from the center of the sphere. Label the value at r = 0 on the vertical axis.

	(c) i. Determine the magnitude of the electric field at a point 0.10 m from the center of the sphere.

	(c) ii. Determine the magnitude of the electric field at a point 0.24 m from the center of the sphere.

(d) A second copper sphere of radius R₂ that is uncharged is placed near the first sphere, as represented in the figure below.

	On the axes above, sketch a graph of electric potential V versus distance along the x-axis shown, where the center of the first sphere is at x = 0.