Induction Definition and 999 Threads

I've been looking into the induction heating a bit lately and have come up with a few questions. One is in regards to hysteresis losses. I know what hysteresis is and how it contributes to the heat generation, but how much of an effect does it actually have? Some articles I've read have...

Hi everyone, I have been trying to do this induction question... but can't seem to understand how to do it. Prove by induction that, for all integers n is greater than or equal to 1, (n+1)(n+2)...(2n-1)2n = 2^n[1x3x...x(2n-1)] This is what someone else has given as the answer: For n...

Suppose that the stator of an induction motor is connected to grid and the rotor is run faster than the synchronous speed. Now the current direction in the rotor circuit reverses because air gap flux as seen by the rotor rotates in reverse direction at slip speed. To maintain the same flux in...

Hello folks. I have an electromagnetics quiz tomorrow and I am kind of nervous. I can't seem to grasp the concept of induction, more importantly how it differs in AC and DC circuits. So in lay terms: Induction is production of electric current across a conductor which is moving through or...

Solved!

I was just wondering if anyone knew of software that would allow me to simulate magnetic induction. I'm researching into the effects distance and the number of windings has on the effect of transfer efficiency between two coils. I've seen lots of people mention Maxwell, but they seem to...

I will prove the false statement, that n\geq a\Rightarrow n!\geq a^n, n\in \mathbb{N}-\left \{ 0 \right \} with induction For n=1 1\geq a\Rightarrow 1!\geq a^1\Rightarrow 1 \geq a which is true. Suppose that n\geq a\Rightarrow n!\geq a^n, n\in \mathbb{N}-\left \{ 0 \right \} Then...

Hi all, I'm trying to understand induction heating, specifically if there can be inductive heating without a coil, simply power applied through a hairpin-shaped resistor. Imagine a big hair-pin-shaped resistor with power applied to one leg - near the bottom of these legs are small metal...

Homework Statement Prove by induction that a polygon with n angles has Mn = (n-3)n/2 diagonals. Homework Equations We assume that the formula Mn+1=Mn +n - 1 is correct. The Attempt at a Solution First of all I checked if the 1st formula is correct for n=3 (a triangle)...

Homework Statement A single-turn circular loop of radius R = 0.235 m is coaxial with a long 1780 turn solenoid of radius 0.0435 m and length 0.850 m, as seen in the figure below. The variable resistor is changed so that the solenoid current decreases linearly from 6.12 A to 1.46 A in 0.230...

Hi, I have to solve this problem... I have done something, but I don't know if it is right :/ Thanks a lot for your help! "Show by induction that (1-nu)(1+u)<=1 for n=0,1,2,3... and u>-1" For n=0: (1-0*u)(1+u)^0 <=1 1*1<=1 1<=1, which is true. Assume that the statement is true for...

Homework Statement My induction proof was really easy and simple, and people were having problems and doing substitutions and other complicated things. Normally I'd take pride in making a simpler proof but, there are really brilliant people in this class and I'm just starting to get the...

What will happen if an induction motor is fed from rotor side. I mean if i supply say 50HZ frequency supply to rotor through slip rings and have my stator windings connected to variable resistances will the rotor start to rotate and if it does in which direction?

Hello! I am making som calculations on induction heating of a metallic cylinder inside a solenoid through which an AC current passes, but the answer I get seems to be completely unrealistic (10 kW with a 50 Hz, 5 Amps, 230 V rms), but I can't seem to find my mistake. What I think is...

This isn't a homework question as such, but according to my physics book in electricity it is always the negative (electrons) charge that move. Is it possible to charge something negatively via induction? I mean the last step in the process is earthing the object, if you Earth it, do positive...

Homework Statement When we place a magnet in a long coil of wire the emf will be maximum when the magnet is at either end. What would happen when the magnet lies in the middle of the coil (i.e: the same amount of flux is interacting with the coil at all times). Would we have an induced EMF...

Homework Statement I have been studying induction for a few days now and am able to produce some proofs, but have some inquiries as to its theory. First, in strong induction, it seems that different sources disagree on whether base cases are necessary to include within the proofs. Is there...

Homework Statement For each positive integer n, let S_{n} = \frac{1}{n(n+1)} + \frac{1}{(n+1)(n+2)} + ... + \frac{1}{(2n-1)2n}. (a) Calculate S_{1}, S_{2}, S_{3}. Then use this data to guess a simple formula for S_{n}. (b) Prove your guess in part (a) by mathematical induction (c) Use Result...

Homework Statement Okay, so I'm going to be completely honest, I am really bad at math, and I have been struggling the past couple of weeks in my Quantitative Reasoning class. I am so lost. I don't know if it's my teacher's teaching method or what, but nothing is clicking for me at the moment...

Homework Statement Sn=1-3+5-7...+(-1)^n(2n+1)Homework Equations Show that Sn=(-1)^n(n+1) The Attempt at a Solution S(n+1)=Sn+(-1)^(n+1)*(2n+3) = (-1)^n*(n+1)+ (-1)^(n+1)*(2n+3) S(n+1)= (-1)^(n+1)*[(2n+3)-(n+1)] (because (-1)^(n+1)= - (-1)^n ) S(n+1)=(-1)^(n+1)*(n+2) is that correct proof

hi Here is a problem I am trying to do .. Show that it is possible to arrange the numbers 1, 2, . . . , n in a row so that the average of any two of these numbers never appears between them. Here is my attempt. The base case will consist of first two numbers. So Base Case: n=2 The...

Homework Statement So we have to prove that \frac{(n+1)(n+2)(n+3)...(2n)}{1*3*5...*(2n-1)} = 2n2. The attempt at a solution I. For n=1, obviously the proposition is true. (2*1/(2-1) = 2^1 = 2) II. Let n=k and assume \frac{(k+1)(k+2)(k+3)...(2k)}{1*3*5...*(2k-1)} = 2k. Now, for n=k+1 we...

Homework Statement Prove that 8 divides: 1+2x3^(n-1)+5^n for every natural number : n>0Please I'm having difficulties solving this problem, i just want to understand the concept of how to solve it thank you. I know that 8 divides: 1+2x3^(n-1)+5^n can also be written as 1+2x3^(n-1)+5^n=8k ...

A professor the other day used an induction coil power a crt tube like the one at the link below. http://chemteacher.chemeddl.org/services/chemteacher/index.php?option=com_content&view=article&id=99 I understand the general idea of both induction coils and crts, but what confuses me is...

Greetings, I have read the explanation on this forum here: https://www.physicsforums.com/showthread.php?t=441637 which discusses Faraday's Law of Induction, but I'm having a hard time understanding how to extrapolate that to my problem. My goal: Construct a circuit that measures ambient...

Can someone please tell me why the magnetic field makes the electrons flow round the coil in a generator? Does the force of the magnetic field have to go in the same direction as the coil?

Homework Statement 2^{2n-1} + 3^{2n-1} is a number divisible by 5. Prove by induction. Homework Equations The Attempt at a Solution Firstly, solving for n = 1 is true. I've re-written the statement to be: 2^{2n-1} + 3^{2n-1} = 5L where L is any natural number...

show (n^2)! is divisible by (n!)^n+1 base case 1 divides 1 so I did the induction and got (n^2+2n)!=((n+1)^n * (n!) *(n!)^n+1 (n^2+2n)*...*(n^2)!=((n+1)^n * (n!) *(n!)^n+1 can we conclude that (n^2)! is divisible by (n!)^n+1 for all n from there because we have the bold...

Homework Statement Prove by induction that: (Please see attachment) Homework Equations The Attempt at a Solution Can someone please confirm if I have worked the question out correctly. Many thanks.

Hello! I wanted to know if it is possible to calculate the rotor slip if I know the output torque and rpm shaft. I also know the equivalent cicuit of the motor: Rs, Rr, Ls, Lm and Lr. Thank you!

I was wondering whether an induction hob cooker would work in reverse if a hot pan is placed on the coil - so would this generate a current? I would assume not as the heat induction pan wouldn't be able to create a magnetic field in the coil?

Proof by induction that 3 * 5^2n+1) + 2^3n+1 is divisible by 17! Thanks in advance guys

Homework Statement Prove by induction that no matter how one chooses a set of n+1 positive integers from the first 2n positive integers, one integer in the set divides another integer in the set. 2. The attempt at a solution Tried direct induction. Base case easy to prove. P(n+1) is with n+2...

Homework Statement Prove that P(n,m) m+n = n+m for all m,n in natural numbers. Homework Equations The Attempt at a Solution I prove by induction. Base case: P(0,0) = 0+0 = 0+0. Inductive step: Let n be an arbitrary natural number. Suppose m+n =n+m. Adding 2 to both sides of...

Let the number x_{n} be defined as follows x_{1} = 1 and x_{2} =2 and x_{n+2}=\frac{1}{2}(x_{n+1} +_{n}) for all n \epsilon N. Use the principle of strong induction to show that 1\leqx_{n} \leq2 for all n \epsilon N I have never done strong induction before so is this right? Pf/ so P(1) is...

Homework Statement I need to prove that for any real number r, if 0 < r < 1, then for all positive integers n and m, if n < m, then r^n > r^m. Homework Equations No calculus techniques are permitted, only mathematical induction. The Attempt at a Solution I know that any...

Homework Statement Q. Prove by induction that... (please see attachment). Homework Equations The Attempt at a Solution The end result should be divisible by 6, but hasn't worked out for me. Can someone help me spot where I've gone wrong? Thank you.

Hi, I've been thinking about the shape of the voltage waveform induced by a magnet falling through a coil. I know (both intuitively and from empirical experience) that the voltage should become increasingly positive as the magnet approaches the coil, then it should decrease rapidly...

Homework Statement Prove by finite list induction ∀xs:: [a]. map (\x -> x) xs = xs Homework Equations map f [ ] = [ ] map f (x : xs) = (f x) : map f xs The Attempt at a Solution The list induction principle to prove a finite lists of type a is [P([ ])^ ∀x :: a. ∀xs ...

Homework Statement I like this thing call induction Prove that for every integer n\geq 0 that 5| (9^n - 4^n) The Attempt at a Solution 1) Base Case n = 0 9^0 - 4^0 = 0 Clearly it is true 2) Take n = k + 1 9^{k + 1} - 4^{k + 1} = 9^k 9 - 4^k 4 = 9^k (4 + 5) - 4^k 4...

Hello, I have a question about inductive reasoning... Earlier this week my intro proofs class went over the logical structure of induction, and an example. The example was a proof of \Sigmai = n*(n + 1)/2 My main issue is the assumption that "p(k)" is true. What if it's not? I asked this in...

Homework Statement Prove that weak induction is equivalent to strong induction. Homework Equations To prove this...we assume weak induction. That is (i) 1 \in S (ii) n\in S \Rightarrow n+1 \in S for all n in N The Attempt at a Solution So to prove strong induction we...

Homework Statement Prove that for any positive h and any integer n\geq0, (1+h)n\geq1+nh+\frac{n(n+1)}{2}h2. Homework Equations None. The Attempt at a Solution I proved that P(0) is true (1\geq1). The rest of the proof goes as follows: Assume K\inZ (the set of integers) and P(K)...

[FONT="Verdana"]What happens if an big AC induction motor is running with full load an your suddenly reverse the 3 phase?

Homework Statement Prove that 1/(1-x) = 1 + x + x2 + x3 + ... + xn/(1-x) for n>=2 Homework Equations The Attempt at a Solution I'm not really all that sure how to begin. The base case would be 1/(1-x) = x2/(1-x) and the induction hypothesis would be 1/(1-x) = 1 + x + x2 + x3 +...

What will happen if an ac inductions motor is running, an suddenly an error occurs in the voltage pr. hertz motor control so the stator frequency goes down below the rotor frequency for 1-2 sec?

Hi, So, I was assigned a problem in my Intro Analysis course that involves proving, by induction, that the set A minus some arbitrary number of intersections of the sets B_{j} is equal to some arbitrary number of unions of A minus the sets B_{j}. I've written out a proof, but I'm not too...

consider first , an induction motor... a rotating magnetic field is applied to an electrically conductive rotor, and the eddy currents induced will oppose the change in magnetic field experienced by the rotor, hence the rotor gets torque in an induction motor the rotating magnetic field is...

Homework Statement 1b) Prove by induction: 1^{3}+...+n^{3}=(1+...+n)^{2} 2a) Find a formula for: \sum^{n}_{i=1}(2i-1) Homework Equations There's a Hint for 2a): 'What to this expression have to do with 1+2+3+...+2n?' The Attempt at a Solution In 2a) I've got near the answer...

I'm having a bit of trouble understanding why the principle of induction is included as one of Peano's axioms. It seems like it should not be independent of the others. Obviously it can be stated as: If a predicate P is true only of natural numbers, P(0) is true, and also P(n)\rightarrow...