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Problem 4 [12 points] For the system of capacitors shown, a potential difference of 150 V is always maintained across points a and b by a battery (not shown). (a) [3 points] Calculate the equivalent capacitance of this arrangement. (b) [2 points] How much charge is stored by the arrangement? (c) [2 points] How much charge is stored by the 20μF capacitor? (d) [2 points] How much charge is stored by the middle 30μF capacitor? 10μF 20μF 30uF 30 F 30uF 40μF (e) [3 points] How much work do you have to do to insert a dielectric of dielectric constant x = 4 between the plates of the 20μF capacitor? 4
Problem 3 [12 points] The picture shows charged parallel plates separated by a distance d = 1.0 mm charged to a potential difference of 500 V. (a) [2 points] Determine the electric field (vector) between the plates. OV (c) [4 points] Determine the initial kinetic energy of the proton. x=0 A proton (m = 1.672 x 10-27 kg.qp = +e) enters at the left plate, traveling right with enough kinetic energy to barely reach point B (0.2 mm from the right plate), where it stops and turns around. (b) [2 points] Determine the voltage at point B. (d) [4 points] Point A is the midpoint between the plates. Determine the change K₁ - K₂ in kinetic energy of the proton as it moves from B to A. 500 V 0.2 mm 3