Recent content by E_M_C

  1. E

    Learning Statistical physics, which book?

    The best introductory Stat. Mech. book I've ever found is Introduction to Thermodynamics and Statistical Mechanics by Stowe. https://www.amazon.com/gp/product/0521865573/?tag=pfamazon01-20
  2. E

    Navigating the Challenges of a Mechanical Engineering Degree

    Hi Macladdy, It sounds like you're concerned about having the experience of being shocked by difficult concepts that you'll encounter in the classroom and the experience of having a heavy academic workload. This is a valid concern. The classes that I had trouble with were always the classes...
  3. E

    Best Books on Thermodynamics & Statistical Mechanics

    Hi Johannes, I've previewed the "Concepts in Thermal Physics" textbook on google books, and it seems to be a good introductory book to learn from. My only concern is the small number of exercises at the end of each chapter. I'm not completely certain what books would constitute a "Bible" on...
  4. E

    Boolean Algebra simplification question

    Hi delta59, It's pretty straightforward to simplify short Boolean expressions having 2 or 3 variables using Boolean algebra (aka the switching algebra theorems). But when you get into 4 variables or higher, or when you're evaluating lengthy expressions, it's easier to use a Karnaugh Map. Here...
  5. E

    Relating Electric Field and Magnetic Field

    Edit: Ah yes, I see what you're doing. That should give you the correct numerical answer. Just make sure you specify the directions of the fields. For future reference, you should look at the Lorentz Force. This is the net force on a charged particle when both electric and magnetic fields are...
  6. E

    Differential Gauss's Law & Coaxial Cable

    There's no need for that kind of behavior. You're very welcome :)
  7. E

    Is it possible to eliminate y from the equation y'=e^x/(cos(y)+1)?

    Hi adam199, That is the correct result. And no, you cannot eliminate y from the expression. However, you can take any point (x,y) = (3,4) for example, and plug it into the equation to get the instantaneous slope at that very point. Then you can use that slope to write an equation for the...
  8. E

    Relating Electric Field and Magnetic Field

    Hi PeachBanana, Consider the answers to these questions: If both an electric and magnetic field are present, how can you write the net force on the proton? In order for the proton to move in a straight line, the net force on the proton must be what? What kind of velocity does the proton have...
  9. E

    Differential Gauss's Law & Coaxial Cable

    Hi Nekoteko, The problem is asking you to find ρ such that the total charge in the inner cylinder is equal to the total charge on the outer cylinder. Another way of saying this is: For what ρ does the electric field in the region outside of both cylinders equal zero? Try using Gauss'...
  10. E

    How Many Bills of Each Denomination Make $100 from 32 Bills?

    Be careful with that. Most people (in my experience) define the natural numbers as N = {1, 2, 3, ...} which doesn't include zero. So if you're restricting B and C to natural numbers, as defined above, you may be cheating yourself out of a solution. As I mentioned earlier, there is more than one...
  11. E

    How Many Bills of Each Denomination Make $100 from 32 Bills?

    Hi bleedblue1234, You can only solve for n variables when you have n linearly independent equations. In this case, you have 3 variables and 2 linearly independent equations, so you're one equation short. But if you choose a value of zero for A, B or C then you reduce the problem to 2...
  12. E

    Electric field and Guass' Law question

    It's our pleasure, and you're welcome :) You did just fine. And as always, practice makes perfect!
  13. E

    Electric field and Guass' Law question

    You got it, you're all done. Chopin would be proud!
  14. E

    Electric field and Guass' Law question

    Perfect! Now you can write the field in region III. Does that region include the entire cylinder?
  15. E

    Electric field and Guass' Law question

    So close! Remember that the Gaussian cylinder for region II has a radius somewhere between a and b. The term (b3 - a3) implies that we're calculating the field for the entire cylinder. Does region II include the entire cylinder? What might you change about your equation to make the dimensions...