Homework Statement
Transfer function:
G(s) =\frac{k}{s^{2}+2\varsigma\omega_{n}s+\omega_{n}^{2}}
a) if u(t) = cos(2t), find the steady state response
b) determine the values for k, damping ratio (\varsigma), and the natural frequency.
Homework Equations
The Attempt at a Solution...
Homework Statement
A plano-convex glass lens of radius of curvature 2.6 m rests on an optically flat glass plate. The arrangement is illuminated from above with monochromatic light of 565-nm wavelength. The indexes of refraction of the lens and plate are 1.6. Determine the radii of the first...
Homework Statement
I have a coil that is connected to 60hz, 100V ac generator. At this frequency, the coil has an impedance of 11.1 ohms and a reactance of 8.8 ohms. I need to find what series capacitance is required so the the current and voltage are in phase.
Homework Equations
X(L) =...
It is computerized homework, so when I put in the answer that I calculated it keeps telling me that it is wrong. I have done the same thing with multiple different distances, and they all come up wrong, so I believe that it is something that I am doing, I am just not sure what
[SOLVED] Magnetic Field due to a current loop
Homework Statement
A single loop of wire of radius 3 cm carries a current of 2.6 A. What is the magnitude of B on the axis of the loop at 2 cm?
Homework Equations
B=\mu/(4\pi) * 2\pi(R^2)*I/(z^2+R^2)^(3/2)
The Attempt at a...
Homework Statement
I am trying to study for an upcoming exam, and came across a problem that I can't seem to solve.
I am given three capacitors, where C(2) and C(3) are in series, and C(1) is parallel to C(2,3).
C(1) is connected alone to a battery and charges until the magnitude of the...
Homework Statement
I am given the circuit, which is shown in the attachment, and I need to calculate the power supplied from each of the 12V batteries.
Homework Equations
I have already solved for the current in each resistor and the potential difference between a and b.
The only...
I have a multiple loop circuit, which I was able to apply Kirchhoff's rules to in order to find the current of each resister. However, got stuck trying to determine the power supplied by the batteries (one in each loop). I tried using the equation p= I \epsilon, where \epsilon is the volts of...
I have been trying to calculate the potential difference between to points. In doing so, I have tried taking \int -E * dl, in which I end up with -E*4, but that does not include the point charge, and I'm just not sure what I need to do to Calculate the potential with the addition of the point...
Sorry, I feel really dumb, I was forgetting that the Total Charge on the smaller sphere would be negative. It's always nice to find out when you've wasted an hour trying to figure out what was wrong and it was just missing a negative sign
I have the problem
A positive point charge of magnitude 2.4 micro Coulombs is at the center of an uncharged spherical conducting shell of inner radius 65 cm and outer radius 85 cm.
I have been trying to calculate the total charge for the inner sphere. I solved for the Electric Field by...
I can't seem to figure this integral out
\intx^(1/2)*e^(-x) dx
from -\infty to \infty
I have tried integrating by parts, but that didn't seem to do any good. Does anyone know a good way to start this problem?