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B. [25 points total] Tutorial question. This page contains two independent parts, A and B. A. A curved line charge is shown at right. The

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B. [25 points total] Tutorial question. This page contains two independent parts, A and B. A. A curved line charge is shown at right. The charge density is non-uniform and unspecified, but can be represented by the function A(5) where = is some parameter based on the position. For this question, you may ignore units. Consider the following incorrect student statement about determining the net charge of the object: Charge can be found by multiplying density with the dimensions. Thus the net charge of this object is A(5) *4*2, because it is 4 wide by 2 high [9 pts] Identify the flaws in this student's approach. We will be grading for three distinct ideas. B. A non-uniformly charged sphere of radius R, is centered on the origin. The volume charge density within the sphere is given by: p(r) = p se * , where p. and k are positive constants. 1. [7 pts] On which spherical coordinate(s) r, 6, and/or $ can the electric field not have a component in? Justify your answer by using symmetry Non-uniformly arguments. charged sphere ii. [9 pts] Consider the Gaussian surface at right. The wedge consists of a curved surface of constant radius R, concentric with the sphere, and three flat surfaces that lie in the xy-, yz- and xz-planes. Can this Gaussian surface be used to determine the magnitude of the electric field at point P (also a distance R, from the center of the sphere) with Gaussian surface Gauss' Law? Explain your reasoning. perspective view

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