Homework Statement
Make a change of variable that transforms the quadratic form with no cross-product term:
9x1^2 - 8x1x2 = 3x2^2
Homework Equations
A = PDP^-1
Q = y^TDy
The Attempt at a Solution
I know the answer. This is a question regarding concept.
The eigenvalues for...
Homework Statement
Find Vo
http://img148.imageshack.us/img148/885/opamp.gif
Homework Equations
Not known
The Attempt at a Solution
I understand how to find Vo. What I don't understand is where that 6/7 came from (boxed in blue).
Homework Statement
Sketch the output waveform:
http://img7.imageshack.us/img7/3774/recgraph.jpg
(The coloured lines I added myself)Homework Equations
Nothing which applies, I think.
The Attempt at a Solution
The answer has already been provided. I just have a concept question.
The full...
Homework Statement
Design a full-wave rectifier that converts 110 [V], 100[Hz] ac electricity from a regular wall socket to a low DC voltage.
a) (Fill in the blanks) To lower the voltage from 110 [V] to 11[V], we use a _________, with a turn ration of ___:___. The units of the horizontal...
Homework Statement
Given the electromagnetic wave traveling in the y direction at velocity c:
B = +cEo sin(k y − ω t) ˆi.
a) What happens to the ratio of the electric to magnetic field if the angular velocity ω of the
wave is decreased? Does it decrease, increase, or remain the same...
No, I found the integrating factor to be \frac{e^t}{t^2}
lol yeah. that was a silly question. So would y(0)=0 have no solution then?
Sorry, I'm really unaccustomed to using the layout tools here so please bare with me. This is "in general" what I came up with before putting in the initial...
Homework Statement
Solve the IVP. Is your solution unique? Explain.
ty' + (t-2)y = (t^4)*(e^t)
y(0)=0
Homework Equations
Theorem:
If p(t) and g(t) are continuous functions on an open interval a< t < b and the interval contains t0, then there is a unique solution to the IVP on...
Homework Statement
A 10 μF capacitor and a 25 H inductor are connected in series with a 60 Hz source whose rms output is 112 V.
Find the voltage drop across the inductor. Answer in units of V.
Note: Sigfigs do not matter
Homework Equations
I = V/Z where Z is the impedence
XL =...
yeah, Thanks. I got the same answer or thereabouts.
After some algebra (and some help) I found that the new area A2 = (n^2)*A1.
Plugging that into T = IAB gives the correct answer.
Homework Statement
A circular coil of 720 turns and area 0.6 m^2 is in a uniform magnetic field of 0.63 T. The maximum torque exerted on the coil by the field is 0.0026 N · m.
a) Calculate the current in the coil.
b) Assume the 720 turns of wire are used to form a single-turn coil with the...
Okay, using I= V/R the current for equivalent resistor 6 is 3.333 and for resistor 8 it's 2.5.
Voltage at resistor 5 is 3.333*5=16.6665
Voltage at resistor 8 is 2.5*8 = 20
Voltage through the capacitor is 20 - 16.6665 = 3.3335, which is wrong.
What about my approach is incorrect?
Homework Statement
In the figure below the battery has an emf of 20 V and an internal resistance of 1.
Assume there is a steady current flowing in the circuit.
http://img48.imageshack.us/img48/9211/44724253.gif
Find the charge on the 4 μF capacitor.
Answer in units of μC.
Homework Equations...