ps02

ps02 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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PS02-1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Fall 2008 Turn in at your table labeled with your name and group (e.g. L01 6B) Problem Set 2 Due: Thursday, September 18 in 8.02 homework box Warm Up Problem 1: Charges on a Square Three identical charges + Q are placed on the corners of a square of side a , as shown in the figure. (a) What is the electric field at the fourth corner (the one missing a charge) due to the first three charges? (b) What is the electric potential at that corner? (c) How much work does it take to bring another charge + Q from infinity to that corner? (d) How much energy did it take to assemble the pictured configuration of three charges? Problem 2: Electric Potential Suppose an electrostatic potential has a maximum at point P and a minimum at point M. (a) Are either (or both) of these points equilibrium points for a negative charge? If so are they stable? (b) Are either (or both) of these points equilibrium points for a positive charge? If so are they stable?
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PS02-2 Exam Problem Problem 3: Charged Slab & Sheets An infinite slab of charge carrying a charge per unit volume ρ has a charged sheet carrying charge per unit area σ 1 to its left and a charged sheet carrying charge per unit area σ 2 to its right (see top part of sketch). The lower plot in the sketch shows the electric potential V ( x ) in volts due to this slab of charge and the two charged sheets as a function of horizontal distance x from the center of the slab. The slab is 4 meters wide in the x -direction, and its boundaries are located at x = -2 meters and x = +2 meters, as indicated. The slab is infinite in the y direction and in the z direction (out of the page). The charge sheets are located at x = -6 meters and x = +6 meters, as indicated. (a) The potential V ( x ) is a linear function of x in the region -6 meters < x < -2 meters. What is the electric field in this region?
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ps02 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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