# PS1 - Electricity and Magnetism Physics 2217 and AEP 2170...

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Unformatted text preview: Electricity and Magnetism Physics 2217 and AEP 2170 Spring 2011 Homework 1 Assigned: Monday January 24th Due: Friday January 28rd 1. Problem 1.1 Purcell 2. Problem 1.2 Purcell 3. Problem 1.3 Purcell The next few problems are meant to give you an idea of the math that will be required this semester. We will discuss gradients, divergences, and curls over the next couple of weeks, but we will focus on the beautiful physics that these mathematical objects describe rather than answer “how do I calculate x.” (I just want to give you an idea of what’s ahead.) 4. Let     a. Calculate the gradient  b. Integrate the gradient of T along the following three paths  i. (0,0,0) → (1,0,0) → (1,1,0) → (1,1,1)   T · dl ii. (0,0,0) → (0,0,1) → (0,1,1) → (1,1,1)   P 2;y=x  iii. the parabolic path z=x   5. Let      a. Calculate the divergence  b. Integrate the divergence of v over the volume of a cube with sides =2. (the  four corners are: 000, 200, 020, 002).               c. Integrate v over each surface of the cubic.   d. What is the result of integrating over the entire surface?        e. Calculate the curl of v.  f. Integrate the curl of v over 5 of the 6 sides of the cube (don’t integrate over  the side in the yz plane intersecting the origin)      g. Integrate v over the boundary (0,0,0) → (0,1,0) → (0,1,1) → (0,0,1) → (0,0,0)   ...
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## This note was uploaded on 06/10/2011 for the course PHYS 2217 taught by Professor Leclair, a during the Spring '06 term at Cornell University (Engineering School).

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