d/dx ln(sqrt x^2+y^2+z^2) = x/(x^2+y^2+z^2) d/dy = y/(x^2+y^2+z^2) and d/dz = z/(x^2+y^2+z^2)
so then would it become (x+y+z)/(x^2+y^2+z^2)? which is r*/r^2?
i tried to follow how I attempted the next question, gradient f if f=1/r
(d/dx)xbar+(d/dy)ybar+(d/dz)zbar * (1/r)
(-x/r^3)xbar+(-y/r^3)ybar+(-z/r^3)zbar
= -(x,y,z)/r^3
=-rbar/r^3thats how I tried but I guess was wrong?
The current runs from the negative side of the battery to the postive correct? So first should I try and replace what I can with equivalent components to clean up the circuit?
or should try try and go ahead and use mesh analysis
Assume that this circuit has been connected as shown for a very long time. Re-draw the schematic and label the currents and voltages in and across all components including the batteries. All components are “ideal.”
Two capacitors of value 10, 20 microfarads are
connected in series. Then charged with a 100 volt battery. If the capacitors is
disconnected from the battery, and then connected to a 2500
ohm resistor, what is the voltage across the capacitors after 1 second?
During lab I obtained the data in the attached photo.
It then asked for me to plot the data and get an estimated FWHMP as well as a "Q"
First question is what does FWHMP and Q stand for?
Second, where on my graph would I estimate these?