Equivalent Definition and 1000 Threads

  1. T

    When is If P then Q equivalent to Not the case that P or Q?

    Been at this all day and cannot come up with an instance where in english sentences, If P then Q is equivalent to It is not the case that P or Q. Can anyone provides some hints.. I am really stuck. Thanks!
  2. S

    Engineering Circuits - using equivalent capacitance

    Homework Statement C1 = 1μC ; C2 = 2μC ; C3 = 3μC ; C4 = 4μC V = 12.0V If both switches are closed, what is the charge on C1? Homework Equations q = CV In parallel - V is constant across capacitors Cxy = Cx + Cy In series - q is constant across capacitors Cxy-1 = Cx-1 + Cy-1The Attempt...
  3. R

    Equivalent resistance with possible short circuit

    Homework Statement Find the current flowing through the voltage source in mA. Assume Vs = 3.9 V and R = 8.3 kohm. Round off your answer to two decimal points. Homework Equations 1/R(equivalent) = 1/R1 + 1/R2 + ... I=V/R Kirchoff's voltage law The Attempt at a Solution I considered the 3...
  4. M

    Finding an Equivalent Couple for the Forces in the Figure

    Homework Statement The forces shown in the Figure below form a couple. Replace the couple shown with an equivalent couple acting at points A and B. Please see figure Homework Equations Couple force moment equation is M = Fd (take only one of the two force vectors and distance between...
  5. G

    A metric space of equivalent sequence classes

    A metric space of equivalent Cauchy sequence classes (Z, rho) is defined using a metric of the sequence elements in the space (X,d), where d is from XX to R (real numbers). The metric of the sequence classes is rho = lim d(S, T), where S and T are the elements of the respective sequences. To...
  6. N

    Are Both Sensible Interpretations of Poisson Behavior?

    Are both sensible (equivalent? contradictory?) interpretations of "Poisson" behavior? I've come across two quite distinct notions (or so it seems to me, anyway) of Poisson behavior and I'm not sure if they're equally sensible or perhaps even equivalent. I'll apply both "views" to the same case...
  7. L

    Equivalent resistors in resistor networks

    Homework Statement http://i134.photobucket.com/albums/q100/megajette2/Resistornetwork.png Homework Equations parallel resistors share the same nodes or terminals and simplify to (a*b)/(a+b). in series resistors values are added. The Attempt at a Solution...
  8. J

    Understanding Optical Equivalent Path: Differences and Similarities

    Actually,. What is optical equivalent path.,.? Is this and optical path length are same,.,.,??
  9. D

    Thevenin equivalent for strain gauge bridge

    A strain-gauge bridge is made up of four resistive elements, each element having an unstrained resistance equal to R, as shown in the diagram below. When a strain is applied to the bridge elements R2 and R4 increase in resistance by an amount ΔR, whereas R1 and R3 decrease by ΔR, where...
  10. T

    Air equivalent of rail gun possible?

    If a rail gun works by having an object that moves along a path, where either side has opposite charge, could that same principle be applied in air? I am not talking about an ion thruster, that already exists. I am saying, if wasting energy was not an issue, could it be possible to charge the...
  11. H

    Calculating Equivalent Forces in Statics

    Homework Statement Replace the force for by the equivalent of two forces parallel at the dot and the other perpendicular to the beam. The force P is 2000 N Determine the forces!Homework Equations Fx= P*cos(x) = Fy= P*sin(x) = The Attempt at a Solution Fx= 2000 N* cos(75)= 0.517 kN Fy=...
  12. F

    Engineering Thevenin equivalent circuit help

    http://img855.imageshack.us/img855/5369/eehmwk.jpg [b] I haven't done this before with 2 voltage sources so I'm not sure how I would go about doing it. If someone could show me step by step how to understand this, I would appreciate it. Equivalent resistance = 2.5ohms, right? But...
  13. N

    Engineering Equivalent Small-Signal Resistance of a MOSFET Circuit

    Homework Statement Derive an expression for the equivalent small-signal conductance Geq (or resistance Req). Homework Equations Geq = \frac{i_t}{v_t} vt = vg vs = 0 vd = -vt The Attempt at a Solution Attachment - EE HW 2 I drew the small-signal circuit, from what I...
  14. P

    Showing that weak induction and strong induction are equivalent

    Homework Statement Show that the principle of mathematical induction and strong induction are equivalent; that is, each can be shown to be valid from the other. Homework Equations Weak induction: (P(1) \wedge \forall k (P(k) \rightarrow P(k+1))) \rightarrow \forall n(P(n)) Strong...
  15. T

    Self-Studying Math: Is an Equivalent to a BS Possible?

    I am currently self studying Calculus I and was curious if it was possible to just self study most or all mathematics on my own without going to college. I would like to learn the equivalent of a BS in pure mathematics, so topics such as topology and such. So is this possible? Practical? And if...
  16. I

    First year calculus proving two formulas are equivalent with natural logs

    Homework Statement Show that the two formulas are equivalent integral [sec x dx] = ln|sec x + tan x| + C integral [sec x dx] = -ln|sec x - tan x| + C Homework Equations Pythagorean ID's? Log rule of addition The Attempt at a Solution Well, I realized the formulas can only be equivalent if...
  17. C

    Could you check if these two are equivalent?

    Hi guys, This is from so called ratio test, which says The series Ʃa(n) diverges if abs{a(n+1)/a(n)} ≥ 1 for n≥N where N is some fixed integer. I was wondering if I could replace the condition with lim inf abs{a(n+1)/a(n)} ≥ 1. So basically what I'm asking is whether these two below...
  18. P

    Equivalent resistance of a cube of resistors

    Homework Statement Twelve resistors, each one with a resistance of R ohms, form a cube (see attached figure). Find R17, the equivalent resistance of a diagonal of the cube. (The first attached picture was scanned from the book "Physics" by Halliday, Resnick and Krane, 4th edition.)...
  19. P

    Information Equivalent of the Svalbard Global Seed Vault

    I was wondering if there is currently a project by some government or NGO, in the same spirit as the Svalbard Global Seed Vault, to digitize all information (history, math/science, literature, etc.) and store it either somewhere safe on the planet or better yet on some other celestial body in...
  20. P

    Why is the integral 1/x equivalent to log base e?

    Yes I know it's a really stupid question, please don't make fun of me. But when they first defined this new function, the integral of 1/x, and had no graph or knowledge of how it looked, how could they know it was a logarithm? More specifically, the logarithm with base e.
  21. P

    A problem about equivalent metric

    Given X=R∞ and its element be squences let d1(x,y)=sup|xi-yi| let d∞(x,y)=Ʃ|xi-yi| then there exists some some x(k) which convergences to x by d1 but not by d∞ ,for example let x be the constant squence 0, i.e xn=0 ,and let x(k)n=(1/k2)/(1+1/k2)n then d1(x(k),x)=1/k2 and...
  22. J

    Collection of Well-Formed Formulas with no Equivalent, Independent Subset

    Homework Statement Find a collection of well-formed formulas Ʃ such that Ʃ has no independent equivalent subset. Homework Equations N/A The Attempt at a Solution So far I have been able to show that Ʃ must be infinite. However, after this, I get stuck. Could anyone give me a hint...
  23. P

    A problem about equivalent metric

    Given X=R∞ and its element be squences let d1(x,y)=sup|xi-yi| let d∞(x,y)=Ʃ|xi-yi| then there exists some some x(k) which convergences to x by d1 but not by d∞ ,for example let x be the constant squence 0, i.e xn=0 ,and let x(k)n=(1/k2)/(1+1/k2)n then d1(x(k),x)=1/k2 and...
  24. L

    The mechanical Equivalent of heat: total increase in temperature of the water?

    Homework Statement If in Joule's paddle wheel experiment a block of mass 10 kg is allowed to fall through 22.5 meters and the mass of the water is 50 grams. What is the total increase in temperature of the water? Can your value of J be used for determining how much mechanical energy can...
  25. E

    Thevenin equivalent with dependet sources

    Homework Statement Hello, i was studying diodes for my exam on monday, but i had some struggle finding the Thevenin equivalent. Here is the circuit: http://img411.imageshack.us/img411/5336/schakeling.png Homework Equations I have no clue what to put here? The Attempt at a...
  26. S

    Why Does Smaller Pipe Diameter Reduce Equivalent Length in Elbows?

    can someone explain to me why it seems that the smaller the diameter of pipe bend (i.e. 90 degree elbow = 30D) the shorter its equivalent length becomes? for 1.5" diameter = 45" equivalent length while 2" diameter = 60" length. does this mean 1.5" diameter 90 degree elbow has less friction than...
  27. G

    Calculate Magnitude of Impedance for RLC Circuit

    I need help calculating the magnitude of the impedance for a RLC circuit shown below. See the attached schematic. I found the impedance magnitude of a similar circuit here: Impedance Formulas ...see the 4th circuit from the bottom (let's call its impedance Z_a). Unfortunately, I do not know...
  28. M

    Engineering What is the Thevenin equivalent circuit for a circuit with a current source?

    Here the attachment is the question. I have some experience in solving Thevenin with Voltage source, but not with current source. Any idea? thanks and regards, May
  29. A

    Root Finding Exercise - Finding Value for Equivalent Areas

    How to find value in root finding exercise? I am designing a fountain for a Vegas hotel which sprays water in the shape of a hyperbola onto a screen. The hyperbolas shape is a function of several different variables. I am looking for conditions which will cause the area cast by the bottom and...
  30. M

    What is the Thevenin Equivalent with Dependent Sources?

    hi everybody, please help me if you can the question in this link . i try many many times but i don't know how i can solve thevenin equivalent with dependent sources. tomorrow i have a home quiz on this question. http://imageupload.org/?d=49E036571
  31. S

    Dalton's law of partial pressures equivalent to volume ratio?

    Homework Statement I had a general inquiry about a relation in my physical chemistry textbook. It stated that when determining the partial pressure of an ideal gas component in a mixture/solution, instead of using the standard Dalton's law: Pi = xiPtot, one can simply use the relation Pi =...
  32. L

    What Does It Mean for Two Operators to Be Unitarily Equivalent?

    Hi! Could anyone please tell me the meaning of Tow operators are unitary equivalent. I tried Wiki but I did not get my goal.
  33. M

    Thevenin equivalent of lattice network

    Homework Statement Find the Thevenin equivalent network of the lattice network (see attached), viewed from points As and Br (terminals Bs and Ar are not connected to anything). Homework Equations The Attempt at a Solution Without the resistance f, the problem is quite simple. I...
  34. B

    Equivalent Resistance and Branch Currents in Non-simple Circuits

    I'm asked to find an equivalent resistance and the current through each branch of the following circuits. (r is a fixed arbitrary value for all resistors in the circuits) Homework Equations V=IR Sum of I at a node = 0 Sum of V about a closed loop = 0The Attempt at a Solution I've been playing...
  35. P

    Equivalent capacitance A hard one?

    Equivalent capacitance... A hard one!? Homework Statement Calculate Equivalent capacitance between A and B: [PLAIN]http://scsupport.org/moodle/file.php/13/Chapter26/imgch26q14.gif EDIT: If you can't see the picture, see 3rd post for file attachment, sorry!Homework Equations C1 = 3.55 µF C2 =...
  36. N

    Are these two functions equivalent when y = 0?

    Hello! Am I right to conclude that: y^2(A(\frac{x}{y})^2 + B(\frac{x}{y})+ C) = Ax^2 + Bxy + Cy^2 Only when y does not equal zero. I'm guessing I could evaluate the function lim y -> 0 but this is not the same as y explicitly equalling zero, is it? On the RHS, y can equal zero, on the...
  37. M

    Understanding Thevenin Equivalent: Why Zeq = 0

    For the circuit below, can someone please help me understand why Zeq = 0 (in words...not by solving): I know Vth = 50<0° since this is the voltage drop across the parallel elements. I don't understand why the equivalent impedance would be 0. I know when you shut off a voltage source...
  38. Y

    Equivalent circuit of induced EMF of coil.

    I want to model a coil circuit with induced EMF. I want to verify that my model is correct in a circuit. That the voltage developed across the load is calculated correctly. From the equivalent circuit, you can see the current depend on the jX_L and it acts as a low pass filter in the complete...
  39. N

    Test if 2 transformations produce equivalent relations to a reference

    Hello -- I have some reference object R (e.g. a protein), and I've got two transformations t1 and t2 (e.g. a transformation = quaternion + translation). In my case, t1 and t2 were obtained from symmetry operations. So after applying t1 to R I get object T1, and after applying t2 to R I get...
  40. M

    Engineering Finding Equivalent Resistance in a Circuit

    Homework Statement The problem wants me to find the equivalent resistance at the terminals. Here is the circuit plus some of my work. The Answer according to the teacher is C. http://i.imgur.com/JaW7f.jpg Homework Equations The Attempt at a Solution As seen from my work, I added...
  41. R

    The Equivalent Resistance Calculation

    Homework Statement What is the equivalent resistance between points a and b: [PLAIN]http://img706.imageshack.us/img706/8615/circuitq.jpg The Attempt at a Solution The correct answer is Req=25 Ω. Looking into the circuit the 20 Ω is in series with the 10 Ω which is in parallel with...
  42. R

    Engineering Finding Thevenin Equivalent circuit (Voc)

    Homework Statement [PLAIN]http://dl.dropbox.com/u/9699560/EE%20Problem.jpg (I added the text V1, V2, and Voc to the image). I'm only trying to find Voc because I got the wrong answer. I got Isc correct. Homework Equations Basic node voltage analysis techniques. The Attempt at a Solution...
  43. M

    Bogged down on Norton equivalent problem

    Picture an 8ma ideal current source pointing downward in parallel to a 20kohm resistor on the left of this picture. Wouldn't these elements contribute to the voltage drop across A and B. Rth makes sense because the ideal voltage source will be shorted eliminating the last resistor but the...
  44. D

    Simple Thevenin equivalent resistance problem

    Gentlemen. Homework Statement Calculate the Thevenin equivalent resistance. Homework Equations Rseries - Rtot = R1 + R2 + ... + Rn Rparallel - Rtot = 1/(R1^-1 + R2^-1 ... + Rn^-1) The Attempt at a Solution As the picture shows, The second ohm-meter tells me 5.7 Ohms is...
  45. S

    Joule's Mechanical Equivalent of Heat

    As I understand it, J's MEoH is the calorific value of a substance. The standard value for this constant is given for raising 1 lb or kg of water by 1 degree. I am using equations which use J's MEoH but with other substances. The equations come from a book on steam turbines so they no doubt...
  46. I

    Question about the possible non equivalent logical statements

    Homework Statement I'm trying to figure out how many unique (non-equivalent) logical statements are possible with n statements...I think I could figure that out as soon as I see a pattern so I would like to know how many are possible for 2 statements and for 3 statements Homework...
  47. M

    What is the Chemistry equivalent of Particle Physics?

    Are there any areas of Chemistry that are dedicated to the study of elementary particles e.g.the Standard Model?
  48. N

    Checking if equivalent resistance is right

    Homework Statement Homework Equations The Attempt at a Solution
  49. N

    Engineering Need help finding equivalent resistance in a circuit.

    Homework Statement Homework Equations delta wye transformations? The Attempt at a Solution I feel like I should do delta wye transforms here, but that doesn't really lead me anywhere. Am I missing how I should do the problem?
  50. B

    What is Equivalent Stiffness of a Beam?

    Hi all, I am trying to understand the concept of equivalent stiffness of a beam. As I see it, the equivalent stiffness is the stiffness of a linear spring that would deflect the same amount under the same load. For a cantilever beam with a load P and a deflection \delta at the free end, if we...
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