In your io equation, it's not Vo/8k. You have a voltage missing. Vo/8K assumes that the voltage over your 8K resistor is Vo, but there's a voltage that isn't ground connected to your 8K resistor.
http://imgur.com/vF77U
Make a loop is the same as saying sum all the voltages in the loop. This is a simply voltage divider, and it will give you the voltage that's present at the + terminal. This is equal to the voltage at the - terminal. The gain of you op amp is a division of two resistors...
If you make a loop around the + terminal, it will give you the voltage. Then you can figure out the gain (R2/R1). Then you can figure out the output voltage, and then get io.
Homework Statement
The magnetic field inside a cylindrical solenoid of area 4 cm^2 is 0.15 T along the axis of the solenoid. What is the magnetic flux through a disk of radius 3 cm placed perpendicular to the solenoid axis?
Homework Equations
\phi = \zeta B * dA
The Attempt at a...
Homework Statement
L1 L2
x= 1+t x= 1+2s
y= 1+6t y= 5+15s
z= 2t z= -2+6s
My professor said to find a normal vector and project the lines, but I'm new to this calculus and all these words are just a fuzzy cloud over my head.
Homework Equations
Projection of c...
Doesn't the even and oddity of a function also have to do with the Taylor Polynomial? For instance, cos(x) is even because the first term (f(0)) is 1, the second term f ' (0) = 0, f ''(0) = -1, so it's Taylor is 1-x^2/2!+x^4/4! ??
Alright, freshman at the University of Minnesota so I have a while to toss this around, but I would eventually like to own my own business someday.
So, that leads me to my question. I am going to get a degree in Biomedical Engineering (the twin cities area is heavily populated with medical...
Okay, just to check in, the solution to the square root should be (x2+1)/(x2-1) (providing my algebra is correct, which it most likely isn't). Then I multiply that solution by (x2/2 - 1/2) (by multiplying the x into dy). Then I get two integrals, and then I long divide and get a really long...
Alright I'm still stuck.
so dx/dy= 1/((x/2-1/(2x)) which is the same as 2/x - 2x, so (2/x-2x)(2/x-2x)= 4/x2-8+4x2, take a 4 out and you get 1/x2-2x2+1, get a common denominator and you get (x4-2x2+1)/(x2), factors to (x2-1)(x2-1)/(x2) + 1. I know this is going to be really obvious, but I can...
Thanks for the help, I don't completely follow you though.
You can't explicitly write a formula for x(y). But you don't have to. You have to integrate 2*pi*x(y)*sqrt(1+x'(y)^2)*dy. dy=(x/2-1/(2x))*dx. Use that to find dx/dy and convert the integration over dy to an integration over dx. You...
Homework Statement
The curve is rotated about the y axis, find the area of the resulting surface.
y=(1/4)X2-.5ln|x| 1<_X<_2
Homework Equations
S=2(pi)(f(x))\sqrt{}1+f'(x)^2
The Attempt at a Solution
Alright I'm not entirely sure where to even begin. Since I'm rotating about the Y-axis I know...