Apologies for this being a kind of stupid question...
Homework Statement
Describe each plane
(a) 8x-5y=-40z
Homework Equations
Probably have to find the x, y, and z intercepts.
The Attempt at a Solution
I would assume that in order to find the x intercept you set y and z...
I think the only part of the wire that matters is the part that isn't parallel to the magnetic field (ie from -6 to 0 along the x axis, which is perpendicular to the field).
Homework Statement
(Note: Don't worry about significant digits. I just want to be able to do the question and will worry about significant digits on the exam.)
In the figure below, a non-conducting spherical shell of inner radius a=2.00cm and outer radius b=2.40cm has (within its...
Sorry, I messed up the thing I meant for it to be from -2 to 5 but I put the numbers in the wrong places when I was typing it up :P
Ok :) This is the "etc, etc." Where did I miss a "-" on the -4 ?
lim \sum t^2 + 6t - 4 \Delta t
lim \sum ( ( \frac{7i}{n})^2 + 6 \frac{7i}{n} - 4 )...
[SOLVED] Riemann sum
Important stuff:
\sum i^2 = \frac{n(n+1)(2n+1)}{6}
\sum i = \frac{n(n+1)}{2}
And the solution: (Where I write "lim" I mean limit as n-->infinity. Where I write the summation sign I mean from i=1 to n.)
lim \sum t^2 + 6t - 4 \Delta t
\Delta t = \frac{5 -...
2.00yz^2 \frac{\partial x}{\partial x}
=2.00yz^2
=-64
2.00xz^2 \frac{\partial y}{\partial y}
=2.00xz^2
=96
2.00xy \frac{\partial z^2}{\partial z}
=2.00xyz
=-48
\sqrt{64^2 + 96^2 + 48^2}
=125
The answer in the back of the book is 150 N/C.
Homework Statement
What is the magnitude of the electric field at the point (3.00\hat{i} - 2.00\hat{j} + 4.00\hat{k})m if the electric potential is given by V = 2.00xyz^2, where V is in volts and x, y, and z are in meters?
Homework Equations
To calculate the field from the potential...
[SOLVED] Integral with trig substitution
Homework Statement
Find \int(x^3)/\sqrt{x^2-9}
Homework Equations
Trig substitution. sin^2 + cos^2 =1, and other things that you can figure out from that.
Half angle formula, cos^2\theta=(1+cos(2\theta) )*.5
The Attempt at a Solution...
Good pictures! I don't have a good camera (it's good enough usually) and it was kind of cloudy here, but oh well.
It's just amazing that people in so many places were all watching it at the same time.