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# HW8 - Platt David Homework 8 Due 4:00 am Inst Ken Shih This...

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Platt, David – Homework 8 – Due: Sep 26 2005, 4:00 am – Inst: Ken Shih 1 This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. For 003 you need give your answer in unit of pF (1pF=e-12*F). 001 (part 1 of 2) 10 points Consider a air-filled parallel-plate capacitor with plates of length 8 . 8 cm, width 6 . 78 cm, spaced a distance 1 . 86 cm apart. Now imagine that a dielectric slab with di- electric constant 2 . 7 is inserted a length 4 . 8 cm into the capacitor. The slab has the same width as the plates. The capacitor is com- pletely filled with dielectric material down to a length of 4 . 8 cm. A battery is connected to the plates so that they are at a constant potential 0 . 83 V while the dielectric is inserted. 8 . 8 cm 4 . 8 cm 1 . 86 cm dielectric none - air bottom 1 . 0 dielectric constant top 2 . 7 What is the ratio of the new potential en- ergy to the potential energy before the inser- tion of the dielectric? Edge effects can be neglected.

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