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Problem Set 5 Solutions

# Problem Set 5 Solutions - MASSACHUSETTS INSTITUTE OF...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Fall 2007 Problem Set 5 Solutions Problem 1: Seven Short Questions. Circle your choice for the correct answer. Question A (4 points out of 20 points): Three charges lie on the x-axis a distance a apart. The charges are numbered from 1 to 3 moving from left to right. A representation of the electric potential V of these three charges is shown above. Which one of the following statements is true? The electric field is zero… d 1. …at some point between charges 1 and 2 an also at some point between charges 2 and 3 2. …at some point between charges 1 and 2 but never between charges 2 and 3 3. …never between charges 1 and 2 but at some es 1 and 2 or between charges 2 and 3 point between charges 2 and 3 4. …nowhere between charg 5. I don’t know (this answer is worth 1 point) Question B (4 points out of 20 points): Consider the capacitor at right, with d << A , filled with three different dielectrics, as pictured. What is the capacitance of this capacitor? 2 3 1 0 2 3 0 2 3 0 1 3 1 2 2 3 1 3 0 1 2 3 1 2 3 1 2 3 0 1 2 3 1) 3) 4) 3 3 5) 6) d A A C C d d A d C C d A κ κ 2 C A κ ε κ κ ε κ κ ε κ κ κ κ κ κ κ κ ε κ κ κ κ κ κ κ κ κ ε κ κ κ = + = + = + + + = = + + + + + 7) I don’t know (this answer is worth 1 point) PS05 Solution - 1

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