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How do I solve this? 1. A sphere of radius G contains uniform negative charge density p per unit volume. The total charge of this

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A sphere of radius G contains uniform negative charge density p per unit volume. The total charge of this spherical cloud is 2e, which is the charge of the two electrons in the molecule. Embedded in this negative cloud are two point charges, each of charge +e, representing the two hydrogen nuclei (protons). Suppose that the protons are symmetrically located at a distance in from the center, as shown in the figure. Also, suppose that the positive charges do not disturb the uniformity of the negative charge distribution. (a) [2] Find p in terms of e and the other quantities given in the problem. (b) [3] Find the force (magnitude and direction) that the negative cloud exerts on each proton. As always, express your answer in terms of quantities given in the problem. (c) [3] Find the force (magnitude and direction) that one proton exerts on the other. (d) [2] Find the ratio b/a for which the protons feel no net force. no "in: chi?\" clo The figure below shows a capacitor that consists of two concenllic spherical metal shells with radii a and b. The outer shell (with radius b) has charge +Q, and the inner shell (with radius a) has charge -Q. The distance between point A and the center of the spherical shells is rm and the distance between point B and the center is r13. (a) [2] Find the electric field at point A (which lies outside both spheres) and at point B (which lies in the gap between the spheres). You need to describe both the magnitude and the direction of the field. For the direction, indicate it in your diagram. (b) [2] What is the potential difference between the two shells? Which shell has the higher potential? (c) [2] From the potential difference, calculate the capacitance. (d) [2] What is the total energy stored in this capacitor? (e) [2]Next, we connect the two shells with a wire that has resistance R. How long does it take for the charge on the outer shell to decrease to Q12? X}

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