Induction Definition and 999 Threads

Hi Sir, I have seen in many IEEE magazines that, a six phase induction motor is having two 3 phase windings spatially separated by an angle of 30 degrees electrical. I have attached the 6 phase induction motor diagram. But I am not able to understand how the motor operates i.e. how the rotor...

Hello all, I am new here. So you see where my lack of understanding comes from; my background is as a Mechanical Engineer and I'm currently in my masters year. I haven't touched electronics since A levels but I was hoping somebody could point me in the right direction. These forums tend to...

With my current understanding, the ordinary principle of Mathematical Induction is a method to prove, whether some statement ##P(x)## is true for all ##x## in ##\mathbb{Z}##, considering the truth of ##P(1)## and then the truth of ##P(k+1)## assuming ##P(k)## is true. For Complete Induction...

So I have to do an induction but I am not quite sure how to set it up. I have already proven that at each step I have either my intended result or I can advance one more step. I have also proven that there are a finite number of steps. Intuitively I have essentially completed the proof. I...

Homework Statement Prove that if n is a natural number greater than 1, then n-1 is also a natural number. (Hint: Prove that the set {n | n = 1 or n in \mathbb{N} and n - 1 in \mathbb{N} } is inductive.)Homework Equations The Attempt at a Solution S(n) = \sum_{j = 2}^{n} j = 2 + 3 + \cdots...

need help on this Show by induction that n^3 <= 3^n for all natural numbers n.

Show using induction that (1 + 1 / n + 1).(1 + 1 / n + 2). ... . (1 + 1 / n + n) = 2 - 1 / n + 1, n >= 1. I've tried everything with this question but the right hand side is not the same as the left hand side after substituting k+1 in the place of n, please help.

electrostatic induction... when a conductor is charged by the method of induction,is its charge equal in magnitude to that of inducing charge or somewhat less?

Sorry about the intriguing title; this is just a continuation of the discussion in https://driven2services.com/staging/mh/index.php?threads/5216/ from the Discrete Math forum. The original question there was how to introduce mathematical induction in a clear and convincing way. Since the current...

Homework Statement There are three concentric thin spherical shells A,B and C of radii a,b and c respectively. The shells A and C are given charges q and -q respectively and the shell B is earthed. Find the charges appearing on the surfaces of B and C. Homework Equations Gauss' Theorem and...

Some students are not convinced that a proof by mathematical induction is a proof. I have given the analogy of dominoes toppling but still some remain unconvinced. Is there very convincing way of introducing mathematical induction? I need something which will have an impact. Are there any real...

Some students are not convinced that a proof by mathematical induction is a proof. I have given the analogy of dominoes toppling but still some remain unconvinced. Is there very convincing way of introducing mathematical induction? I need something which will have an impact. Are there any real...

Homework Statement (1 1)^n = (1 n) (0 1) (0 1) Prove this through mathematical induction. Homework EquationsThe Attempt at a Solution I've replaced n with 1, so I've done that far. Then I said k = n. Then replaced all n with (k+1). I'm really stuck...

Hello Reader, Basically in Faraday's law, a change of flux over time induces an EMF. I was wondering why is it the enclosed magnetic flux and NOT the magnetic flux through the conductor that we consider. More specifically, I understand that the flux through a rectangular surface would be...

can covalent solids like sand,zeolite be induced with charge...

can a liquid be induced with charge i.e. Can we create sites of localisation of positive and negative charges in a liquid?

I_n = \displaystyle \int_0^1 (1-x^2)^ndx, n \geq 0 Given that (2n + 1)I_n = 2nI_{n-1} proove by induction that I_n \leq \left (\dfrac{2n}{2n + 1} \right)^n for positive integers of n in the solutions, could someone explain how they got to step 1, and why we need to show step 2 to...

Prove by induction that for all n≥ 1, dn/ dxn (e ^(x2) = Pn (x) e ^(x2) where Pn(x) is a polynomial in x of degree n with coefficient of x^n equal to 2^n I have problems trying to prove this question by mathematical induction. Please help...Really much appreciated

Homework Statement Answer is B. Answer is E. Answer is E. Homework Equations E=F/q E=V/d Right hand rule for inductors The Attempt at a Solution Quite confused for these problems. For number 18, I'm quite baffled as to where the 0.04 meters even comes from. What I had...

Verify that 1(1!)+2(2!)+...+n(n!) = (n+1)! - 1 is true using induction This problem has me stumped...

Homework Statement Let G be a graph. 1. Let n be a natural number. Use induction to show for all n >= 2 Kn has a Hamiltonian path. 2. Explain how you could use the proof from #1 to show that for all n (natural number) n > 2 Kn has a Hamiltonian cycle. Homework Equations The...

To prove: (1 + 2 + 4 + . . . + 2^{n}) + 1 = 2^{n+1} , ∀n ≥ 0 . Basis Step n = 0: LEFT HAND SIDE: (2^{0})+ 1 = 1 + 1 = 2 RIGHT HAND SIDE 2^{0} + 1 = 2 Inductive Step: Assume (1 + 2 + 4 + . . . + 2^{k}) + 1 = 2^{k+1} Then (1 + 2 + 4 + . . . + 2^{k} + 2^{k+1}) + 1 = 2^{k+1} + 2^{k+1} +...

Homework Statement If there is a positively charged rod,which is placed near an aluminium foil,free electrons in the foil are pulled towards the rod.This makes the top end of the foil negative and leaves the bottom end short of electrons to become positive. I wonder if the rod has a very...

Homework Statement Will someone be kind enough to check my proof (attached) of the following (also attached) theorem?Homework Equations The Attempt at a Solution Oh, and as you might notice, I was beginning to run out of paper, but the binomial coefficients in the bracketed terms obviously...

Homework Statement By mathematical induction, prove that for n ≥ 1, 4/(7n - 3n). Homework Equations The Attempt at a Solution I got the base case down P(1): 7-3=4. Now the actual problem, 7n - 3n = 4x 7n+1 - 3n+1 = 7(7n) - 3(3n) =7(4x + 3n) - 3(7n - 4x) =21x+ (7(3n)) - (3(7n)) + 12x -This...

Hi, I'm sure there is a simple answer to the following question that's got me thinking lately but I'm unsure (it's more of a hypothetical question out of interest and not homework). If a simple older type fixed speed wind induction generator was connected directly to the grid via a gearbox...

Homework Statement Prove the theorems using mathematical induction. \forall n \in N, n\geq 4 \rightarrown2\leq n! Thanks in advance! Homework Equations The Attempt at a Solution First, check the base case which is n=4. \Rightarrown=4\geq4-True \Rightarrow42\leq4*3*2*1...

Homework Statement Prove -(-x) = x. Homework Equations A2: x + y = y + x [additive commutativity] A5: x + (-x) = 0 M3: x(yz) = (xy)z [multiplicative associativity] M4: x (1) = x Lemma: (-1)(-1) = 1 Theorem c: (-1)x = -x The Attempt at a Solution -(-x) = (-1)[(-1)x] by...

Homework Statement Prove 2n ≤ n! for all n ≥ 4. Homework Equations (n+1)! = (n+1)n! The Attempt at a Solution First, notice P(4): 24 = 16 = 4*4 ≤ 4*6 = 4 * 3 * 2 * 1 = 4!. Supposing P(n) is true, check P(n+1): 2n+1 = 2*2n ≤ 2 * n! ≤ (n+1)*n! = (n+1)! Q.E.D...

Let A(subn) = {1,2,3,...,n} For any set B, let P(subk)B=the set of all subsets of B with exactly k elements. For example, P(sub2)({1,2,3})={{1,2},{1,3},{2,3}}. A) Find P(sub2)(A(sub1)), P(sub2)(A(sub2)), P(sub2)(A(sub4)), and P(sub2)(A(sub5)) B) Use mathematical induction to prove that the...

Hi all, I am revising on Proof by mathematical induction and I have came across a question I haven't found a way to work it out. \sum_{r=1}^n r(r!) = (n + 1)! -1 I understand the steps of proving by mathematical induction question. The ! is causing the confusion.

Hi all, I am so sorry I don't know whether to post this. I am revising Proof by mathematical induction Further maths using an Edexcel FP1 book. The following is from chapter 6 example 3. I know how to work Proof by mathematical induction it is part of the example that I don't understand. I...

Please refer to the image attached. Where does the > 2 x k come from? Based on the proposition, shouldn't it be > k+1?

Homework Statement A very long u-shape conducting wire is placed vertically in a constant magnetic field. The magnetic field is perpendicular to the plane of the wire. The strength of the magnetic field is B = 0.9 tesla. A conducting rod is placed on the wire, as shown in the picture. The...

I am dealing with sets of problems that go as such: "How many n-cent postages can be formed from x and y cent stamps" For instance, I am doing a problem where x and y are 4 and 11 respectively. I don't understand how to determine a base case. I know that I must proof P(k + 1) for all P(i)...

Here is the question: Here is a link to the question: Proove the following by mathematical induction? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.

Homework Statement A circular coil of radius r carries a current I. A magnetic induction B acts at right angles to a diameter of the coil. Show that the current experiences a torque T about the diameter given by T=Iπr^{2}Bsinω, where ω is the angle between the normal to the plane of the coil...

I am new to the field and have stumbled across an issue. The current project I am working on is requiring me to calculate how many windings I need to increase voltage in a system from 12v to ~400v. The Initial winding will be fed from a 0 A.W.G. braided copper wire and the outgoing feed will...

Homework Statement 1-1/2+1/4-1/8+...nth term= [(2^n-(-1)^n)]/3(2^(n-1))] I just can't get the nth term. I realize that the denominator should be 2^(n-1) and that, because the sign constantly changes there needs to be something like -1^n so I came up with the equation -1^n/-2^(n-1) but this...

Homework Statement For all integers n, it is impossible to have a solution to the equation 4^n = a^2 + b^2 + c^2 where a, b and c are all positive integers. (Hint: Notice that 4^n = 2^2n is a perfect square. Show (prove) that if m^2 = a^2 + b^2 + c^2, then we must have that a, b and c...

3 PHASE INDUCTION MOTOR A 15 hp/230V, three phase induction motor has a full load current of 42A per terminal. 15HP= 11kW find: a) Full load kVA input b) If the full load power factor is lagging 0.85, what is the kW input. My question: How do I know whether its connected Wye or Delta?a) kVA=...

I am doing project on open loop v/f control of three phase induction motor. How to decide the frequency and amplitude of triangular wave(carrier wave) for sinusoidal PWM ?

Hello I'm learning about proofs and in my book there's a sect. On mathematical induction. And I'm trying understand why this makes it true for all values. 1+3+5...2n-1=n^2 Suppose that the formula is known to be true for n=1, and suppose that as a result of assuming that it is true for n=k...

Hi, I am a designer currently working on alternative induction cooking methods. The question is, whether it is possible to have a flexible/elastic cooking surface (something like a mat, that would roll up, fold up, expand etc.) A project similar to this, is here...

Hi all, I have a question which relates to induction and one potentially useful property of superconductors which seems to suggest one intriguing posibility. I won't say what just yet since my science is potentially a bit rusty, so don't want to sound like a fool. As I understand it, after...

Prove by mathematical induction: (2n)! < (2^(2n))*(n!)^2 , for all n=2,3,4... I know that to start you must prove that it is true for n=2, (2*2)! = 24 < 64 = (2^4)(2!)^2 Then you assume that n=k and show tha n=k implies that n=(k+1) (2k)! < (2^(2k))*(k!)^2 ... At this point I...

Homework Statement A long, straight wire is surrounded by a hollow metallic cylinder whose axis coincides with that of the wire. The solid wire has a charge per unit length of + λ, and the hollow cylinder has a net charge per unit length of +2λ. From this information, use Gauss's law to find...

Hello All, I have an arcane curiosity that cannot be answered anywhere I look (including Griffiths' intro electrodynamics book and the internet). This question seems so simple but I may just be over-thinking it. If there are two square, parallel, finite, conducting plates and a point...

Consider 2 cases case 1: no of rotor poles = 2 no of stator poles =4 case 2: no of rotor poles = 4 no of stator poles =2 What will happen in case 1 & 2 ? Will Induction motor run?

In a 3 phase slip ring Induction motor, 3 phase balanced supply is given to rotor winding & stator winding is short circuited . Then rotor would - run against the direction of rotating field. Can anyone explain this phenomenon?