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Problem 2 (25pts). (a) The maximum allowed potential difference for a parallel plate capacitor is given as 150 000 V. Air breaks down at an electric field strength of 3.00x10 V/m. Given that the plates of the capacitor are separated by 0.500 cm of air, would your capacitor break down when charged to its maximum voltage? (b) An electron is accelerated from rest by a uniform electric field through a distance of 0.400 m and emerges with a final kinetic energy of 100 keV i) What is the electric field strength? ii) Over what distance would it have to be accelerated to increase its energy by 100 GeV assuming the same electric field strength.

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