Homework Statement
Using Cartesian coordinates show that \Phi = 1 / r satisfies \nabla^2\Phi=0 for r not equals to 0.
Homework Equations
The Attempt at a Solution
I tried to let r = x+y+z, then \nabla \Phi = ( \frac{1}{r^2} , \frac{1}{r^2}, \frac{1}{r^2}), but \nabla . \nabla \Phi is...
Homework Statement
express (\frac{\partial u}{\partial s})_{v} in terms of partial derivatives of u(s,t) and t(s,v)
Homework Equations
The Attempt at a Solution
I'm pretty stuck with this problem. I know that
dv = (\frac{\partial v}{\partial s})_{t} ds + (\frac{\partial...
Homework Statement
A clock is placed on a floor covered with lead density \rho and thickness d. Use dimensional analysis to show that increase in gravitational field strength at the clock dueo to the layer of lead is proportional to Gd\rhoHomework Equations
The Attempt at a Solution
to show...
Homework Statement
In all physics textbooks, the V-I graph for diode appears like the followings
http://211.233.39.205/phpBB2/forum_img/diode/diode-14.gif
However, when I conducted the experiment with a 1N4001 diode and 12V-AC, similar graph was found, the the graph seemed to have reflected...