Induction Definition and 999 Threads

Hi I'm trying to preform a simple model of a ferromagnetic bar which has a coil wrapped around it. The bar has a 4×4 cm base and is 15 cm tall, the coil has an inside radius of 29 mm and outside radius 30 mm and a height of 10 cm. The goal is to find the eddy currents in the bar, generated...

If I wanted to know how to find the magnetic flux through a loop, I'd need to know the current flowing near it. If that current is in the form of a spark, how do I represent that? The spark is nearly instantaneous, and I've got no idea how to determine the number of charges which flowed...

Homework Statement suppose we have a coil sitting on a desk (with radius =1), and then a spark passes by the side of it, in such a way that the magnetic flux through the coil is maximized. The coil is attached to a full wave rectifier which is connected to a very large capacitor. There is an...

Hi. I am learning mathematical induction on my own and I came across this problem: Homework Statement Prove: 1*4 + 4*7 + 7*10 + ... + (3n - 2)(3n + 1) = n(n + 1)²2. The attempt at a solution Quick test for n=1: (3 -2)(3 + 1) = 1(1 + 1)² 4 = 4 Alright, so I rewrite this with, on the left...

Homework Statement If i want to use induction to prove the Fibonacci sequence I first check that 0 satisfies both sides of the equation. then i assume its true for n=k then show that it for works for n=k+1 The Attempt at a Solution But I am a little confused if i should add another...

new guy here with a simple magnetic theory question. if i were to coil 10 turns of insulated wire around an 1/8" round x 1" long neodymium magnet, then wire it in parallel to a second magnet with 20 turns of the same gauge wire, what kind of change could i exspect in the second magnets field...

Homework Statement Use the Principle of Mathematical Induction and the Product Rule to prove the Power Rule when n is a positive integer. Homework Equations Dxxn = nxn-1 Dx(fg) = fDxg + Dxfg The Attempt at a Solution In summary, Dxxn = nxn-1 Dxxk = kxk-1 Dxxk+1 = (k+1)x(k+1)-1 Dx(xkx) =...

The resistance per unit length of a conducting wire is proportional to the square root of the ratio of permeability to conductivity. The power generated as heat may be expressed as I-squared x R: also as V-squared / R. In induction, the EMF induced is determined by the rate of...

I'm trying to model a vertical axis wind turbine with the double-multiple streamtube model (with Matlab), where wind speed is dampened by an induction factor so that the output is different for upwind and downwind parts of rotation. The trouble is that for the downwind part, the induction...

Homework Statement Prove by mathematical induction: \sum^n_{i=1} 1/((2i-1)(2i+1)) = n/(2n+1) The attempt at a solution \sum^k+1_{i=1} = 1/((2k-1)(2k+1)) + 1/((2(k+1)-1)(2(k+1)+1)) = k/(2k+1) + 1/(4(k+1)^2 + 2(k+1) - 2(k+1) -1) = k/(2k+1) + 1/(4(k+1)^2 -1) = k/(2k+1) + 1/(4(k^2 + 2k + 1)) =...

Homework Statement Let n be a natural number. Prove that 0!+1!+2!+...n! < (n+1)! and my < sign should be less than or equal to. The Attempt at a Solution The proof is by induction it works for 0 because 0! is less than or equal to 1! now we assume it works for n=k by the induction...

Homework Statement Prove that \frac{d}{dz}z^n = nz^{n-1}\;\;\; \forall n\in\mathbb{N} using the Product Rule for differentiation and mathematical induction. Homework Equations \frac{d}{dz} f(z) = \lim_{\Delta z\to 0} \frac{f(z+\Delta z) - f(z)}{\Delta z} \frac{d}{dz}[f(z)g(z)] = f\,'(z)g(z) +...

Fig.35 shows a light and flexible conducting loop X freely hung on a smooth horizontal rail. A bar magnet PQ approaches the loop from the right. Which one of the following descriptions about this process is correct? A If P is a N-pole, the loop will be repelled to the left and its area...

Homework Statement Prove and show that 2n ≤ 2^n holds for all positive integers n. Homework Equations n = 1 n = k n = k + 1 The Attempt at a Solution First the basis step (n = 1): 2 (1) ≤ 2^(1) => 2 = 2. Ergo, 1 ϵ S. Now to see if k ϵ S: 2 (k) ≤ 2^k But, k ϵ S implies k...

Homework Statement n2<=2n n is a natural number For what values of n is the statement true and prove by induction. Homework Equations The Attempt at a Solution I tried 1 and it worked, I tried 2 and it worked, just for fun I tried 3 and it didn't work, so I assumed the...

Homework Statement Prove: 1^3 + 2^3 +...+n^3=(1+2+...+n)^2 n=Natural number Homework Equations The Attempt at a Solution Using induction - n=1 obvious Assume for n=k equation is true. Show for k+1. I have that the right side prior to k+1 is (k^2(k+1)^2)/4 After k+1 I...

Hello, I have come to this forum as I don't believe what i am being taught to be entirley accurate and need some clarity on a question (not an exact answer, this is not homework) To begin, I believe the person 'teaching' my subject is not up to standard as when our final topic of three...

NOTE: This is not a homework problem. This semester we dealt with AC motors both three phase and single phase. Now I know that 3 phase system is associated with constant power and therefore a constant power is being fed into that motor (and hence converted into constant mechanical power)...

I was doing this for practice and came across this problem-- I have no clue how to prove it. By Induction, prove that 3n-1 is divisible by 2. 1) 3-1=2, divisible by two; good so far Now I have no clue how to approach this.:bugeye: Please help. Thanks in advance:smile:

Can anyone explain why cranes in construction sometimes experience induced currents from antennas radiating from distances of up to several Kilometers. I have looked into the phenomenon several times, and have not been able to find a study or baselines to follow. I have a basic understanding...

Can anyone explain why cranes in construction sometimes experience induced currents from antennas radiating from distances of up to several Kilometers. I have looked into the phenomenon several times, and have not been able to find a study or baselines to follow. I have a basic understanding...

Homework Statement Suppose an/n+1 +...+a0/1=0. Prove f(x) =anxn +...+a0 has a root between zero and one. Homework Equations I'm pretty sure this is induction, but I'm not completely sure. Mean Value Theorem probably The Attempt at a Solution Well f(0)=a0 and f(1)=an + ... +...

Homework Statement Prove that 11^n - 4^n is a multiple of 7 Homework Equations N/AThe Attempt at a Solution I substituted k+1 in for n and simplified to get 11(11^k)-4(4^k) but after this point I get stuck. Any help would be appreciated.

Homework Statement Summation of i(i + 1) (with i going from i = 2 to i = n-1) = n(n-1)(n=1) / 3 a. Write P(2). Is P(2) true? b. Write P(k) c. Write P(k+1) d. Prove by mathematical induction that the formula holds true for all integers n \geq 2 Homework Equations...

hi i want formulae for induction heating .. 1) dept of heating 2)power loss per unit volume also for dielectric heating please help me ..

so i have this [project] [PLAIN]http://img841.imageshack.us/img841/1220/finaldiagram.png N is up, and S is down. Simply a coil of wire in a rod shape goes around the magnet How do i apply the faradays equation on it. I know the rate the magnet moving up, let's say 5m/s. The problem I'm...

I have recently been studying the following function for fun (math nerd): f(x) = x^(1/x) where x is an integer greater than 0 I want to prove that the function is decreasing for x > 2. It seems that the straight forward approach to this proof is to use induction. It can easily be shown...

Thanks, although I still haven't managed to factorise the expression although I did type it up in LaTeX! Homework Statement Prove by induction that the following statement is true for all positive integers n. If \lambda is an Eigenvalue of the square matrix A, then \lambda^n is an eigenvalue...

Homework Statement Show 5^(2n) - 1 divisible by 8. The Attempt at a Solution For n =1, it is div. by 8. For n=k+1, 5^(2(k+1)) - 1 =25^(k+1) - 1 I am not quite sure if this is the final solution.

Hello, I wasn't really sure as to where to post this, since it kinda doesn't really fit in with the listed categories, but I have a question. I work at a chem lab that specializes in Non-Destructive testing, and I am also minoring in Non-Destructive testing in college. In the engineering...

I was working on my homework and I did two of the mathematical induction problems before this one and they were super easy but I must be forgetting something because I just can't seem to solve this one. 2+7+12+17...+(5n-3) = (n/2)(5n-1) So I know that step 1 is to prove that it works with...

induction stove--principle involved? Homework Statement Revered members, can someone explain the principle involved in induction stove? Is it connected anyway with electrostatic induction or something else? Homework Equations The Attempt at a Solution

so the problem is 3+7+11+15+...+(4n-1) = n(2n+1) so I know that step 1 is to plug in 1 for the right side and check that it equals three... 3=1(2(1)+1) and yes it equals 3 Then I know that you assume that 3+7+11+15+...+(4n-1) = n(2n+1) The next step is where I get confused I know that...

Homework Statement How is the number of subsets of an n-element set related to the number of subsets of an (n-1) element set? Prove that you are correct. Homework Equations The Attempt at a Solution So, clearly the the number of subsets in an n element set is 2^{n}. So the number...

We have 2 solenoids : S1 and S2 The coils are wind up as close as they can get and both have length L. They are both made from the same material and have the same length. They are both connected to a DV source. S2 has a wire with a double diameter The ratio between B1 and B2 then is? I...

Homework Statement Prove by induction on n that 11^n - 4^n is divisible by 7 for all natural numbers n (not including zero). Homework Equations Principle of mathematical induction. The Attempt at a Solution Of course I start by showing that the statement holds for n=1 11^1...

Homework Statement A \Delta connected induction machine is to start from a source of 480V, 60 Hz. The motor ratings are : 4 poles, \Delta connected, 480V, 60 Hz, X_{ls}\,=\,X_{lr}\,=\,4\,\Omega, X_m\,=\,50\,\Omega, R_s\,=\,0.25\,\Omega, R_r\,=\,0.4\,\Omega. Find the current in the...

Homework Statement For each n\,\in\,\mathbb{N}, let p_n(x)\,\in\,\mathbb{Z}_2[x] be the polynomial 1\,+\,x\,+\,\cdots\,x^{n\,-\,1}\,+\,x^n Use mathematical induction to prove that p_n(x)\,\cdot\,p_n(x)\,=\,1\,+\,x^2\,+\,\cdots\,+x^{2n\,-\,2}\,+\,x^{2n}Homework Equations Induction steps...

Homework Statement Prove that (n + 1)n - 1 < nn for n ∈ Z+. [Hint: Induction is suggested. Write out the induction statement explicitly. Make one side of the inequality look like your induction hypothesis.] Homework Equations The Attempt at a Solution ^ That's what I have so far. I'm good...

Hey guys, I'm just totally stumped by this Q Use mathematical induction to prove that for integer n, n > or = to 2, (x+1)^n - nx - 1 is divisible by x^2. It's not a Homework problem. Attempt at solution: 1) Prove for n =2, (x+1)^2 - 2x - 1 = x^2 + 2x +1 - 2x -1 = x^2 2) Assume...

\Gamma \left(n+\frac{1}{2}\right) = \frac{(2n)!\sqrt{\pi}}{n!2^{2n}} P(0) is true. Assume true for a fixed by arbitrary integer k\geq n. P(k + 1) = \Gamma \left(k+1+\frac{1}{2}\right) = \frac{\left[2\left(k+1\right)\right]!\sqrt{\pi}}{(k+1)!2^{2(k+1)}} \Gamma...

Homework Statement #32 Homework Equations faraday's law of induction The Attempt at a Solution umm i don't really understand this concept:frown: so here's my attempt. the answer is C so is it because if you have a wire within a wire and the current of one wire is going one...

1. Let K be a finite field of characteristic p > 0. Show that the map f : K--->K given by f(a) = a^p is surjective, hence if B is in K, then N = l^p for some element l of K. 2. Let K be a finite field with q = p^n elements (p a prime). Show that if f(x) in K[x] and l is a root of f(x) in...

Hi everyone, So I feel sort of stupid posting what you'll probably find is a very elementary question but physics really isn't my best subject and I'm completely stumped. Thanks so much! Oh, and there's also the possibility that this question is just really badly worded. Homework Statement...

Suppose a single wire (in a horizontal position) falls toward a pole of a magnet. Does the wire slow down? A diagram is attached.

Homework Statement using mathematical induction, show that d^n/dx^n(lnx)= (-1)^(n-1)*((n-1)!/x^n) Homework Equations The Attempt at a Solution basis step: for n=1 we get d/dx(lnx)=(-1)^0*((0)!/x^1) which gives d/dx(lnx)=1/x inductive step: assuming it holds for all n...

Homework Statement Prove the following statement by induction 5|(7^k-2^k) for all k\inR 2. The attempt at a solution Started by proving P(k)=5|(7^k-2^k) where k=0 which gives 5|0=7^0-2^0 =>0 Then when P(k+1)=5|(7^k-2^k) it gets more complicated and I get stuck. Proving this...

I'd like to start off with saying that i am no expert in engineering or physics, or anything. i am a 20 year old community college student that is intrigued by concepts of things. if at any point I'm wrong feel free to correct and enlighten me. as many of you may know, a ramjet (and...

Homework Statement Prove: 1+2(2+3+4+···+n)+(n+1)=(n+1)2-1 for all n within NHomework Equations PMI The Attempt at a Solution I tried applying PMI starting with the basis step, allowing n=1, assuming the equation would be true. However 1+2(1)+(1+1)=?=(1+1)2-1 yields 5=?=3 which is false. The...