Induction Definition and 999 Threads

Apparently for emf to be induced in a coil, the magnetic field (or part of it) has to act along the normal to the coil face. So does this mean that the coil moves side-ways through the magnetic field? where instead of moving through its length (its longer side), it moves through the coil face...

Homework Statement Hello! This is I want to prove using Mathematical Induction: 1+3+5+...+(2n-1)=n^2. The problem is: I don`t understand very much about Mathematical Induction :(Homework Equations The Attempt at a Solution Suppose n=1. Then 1=1. Now suppose 1+3+5+...+(2n)=(n+1)^2. Then...

Homework Statement Two metal rods are placed on two parallel smooth conducting rails , under uniform B field lines . The metal rod on right-hand side is initially moving at a constant velocity of 3 m/s , while the other one is initially at rest . What would be the subsequent motions of the two...

Ok, so there's this proof by induction question. I looked at the answer for it but I don't understand it. How does it get from being 2^(k+1) to being 2^(k+2)?

Homework Statement (a^2+b^2)(c^2+d^2)=(ac-bd)^2 +(ad+bc)^2 prove by induction that r=a1,a2,a3...an where the a's represent the sums of 2 squares. it itself is a sum of two squares. Check it with: 2=1^2+1^2, 5=1^2+2^2, 8=2^2+2^2, for r=160, r=1600, r=1300, r=625 Homework Equations...

I'm experimenting with induction heating, and made a simple ~100W device. Royer oscillator type, 200kHz frequency. It readily heats a steel blade to the point of incandescence. However, a piece of aluminium of a similar size doesn't even get warm. I understand that magnetic hysteresis...

Hello. I am attempting to design a generator that works with the (admittitedly) inefficent design or rotating a conductive material inside a magnetic field to produce current flow. I could use help finding the formulas I need to calculate the amount of spin and size of coils i will need to...

Homework Statement Prove Mathematical Induction using the Well-Ordering Principle. Homework Equations None. The Attempt at a Solution Every solution I can think of, and every solution I've seen, at some point along the proof, seems to me to employ the very reasoning that is used...

Scientifically, it doesn't make sense why you can't just wind up wire without really much air in the middle. In order to get more wire closer to the magnetic flux, why wouldn't you just wind up the coil tighter? I keep seeing ferromagnetic or air cores. Why not a tightly would wire so more...

The classic description of induction involves inducing a current in another conductor caused by the changing magnetic field caused by alternating current passing through a coil of wire around a metal core. Nonetheless, wouldn't simply alternating the voltage in a coil cause induction in...

Hey Everyone, I am working on a project that uses induction to charge a widget by placing it within an EMF… just like how an electric toothbrush charges. This is for a device that will be used in the power industry, so we’re dealing with exposed, high voltage lines. Do you know of an...

Homework Statement I have proved the first one and I am trying to do the second using the result from part 1) Homework Equations F_1=1, F_2=2, F_n=F_{n-1}+F_{n-2} The Attempt at a Solution base case: F_1|F_k since F_1=1 Assume it works for n, F_n|F_{kn} show F_{n+1}|F_{kn+k}...

Homework Statement I am asked to prove: 2n < (n+1)! , where n≥2 The Attempt at a Solution Base step: set n=2, then test 22 < (2+1)! 22 = 4 (2+1)!= 3! = 3(2)(1) = 6 so 4 < 6 , which is true. Induction hypothesis is 2k < (k+1)! Using this, prove 2(k+1) < [(k+1)+1]! = (k+2)! Attempt to...

hi everyone iam happy to join physics forums i 'd like to ask a question about magnetic induction if i have a current carrying wire(connected to a battery=V) of length (L)& of intensity (I) & perpendicular to a uniform magnetic field(B) then a force act on it (F=LIB) so when it moves...if it...

I am currently exploring if whether or not a fourth dimension exists or can be drawn. According to my professor, I have to use mathematical induction. I know that 2^n is the equation and "n" equals the dimension. Therefore 2^1 is 2. The first dimension is a line with 2 terminal points...

An AC generator with an rms voltage of 25 V is connected in series with a 10 ohms resistor a 53 mH inductor, and a 65 micro F capacitor. Find a) the resonance frequency of the circuit, b) the impedance at resonance, c) the rms current at the resonance.

Can you get me on tracks with this assignment? 1. Find out and show in graphs electric induction D(r) and electric field E(r) if the field is created by a charge q, which is even in a hollow dielectric sphere. R1=2 cm, R1=5 cm, ε[SIZE="1"]a=2ε[SIZE="1"]0So i have a sphere which outter shell...

1. A closed loop is held stationary in the magnetic field between the north and south poles of two permanent magnets held fixed. Can we hope to generate current in the loop by using very strong magnets? well, my doubt is: as magnetic field is a vector and since we have two pairs [one...

Homework Statement Show that for all n greater than 1: fn = \frac{1}{\sqrt{5}}{(\frac{1+\sqrt{5}}{2})n - (\frac{1-\sqrt{5}}{2})n} Homework Equations f1 = f2= 1 fn+2 = fn+1 + fn The Attempt at a Solution I'm pretty sure it's by induction, but I'm not sure how to start.

I'm trying to prove by induction the expression: \sum_{i=1}^{n-1}(n-i)=\frac{n(n-1)}{2} For the base case, n=2, S(2)=\frac{2(2-1)}{2}=1 For S(n+1)=\frac{(n+1)((n+1)-1)}{2} I have: S(n+1) = \frac{n(n-1)}{2} + (n+1) <--- Is this correct? I don't know what is the term for n+1. Any help?

Hi, new to the forum. Great place but much of the info far past my interlectual understanding. :frown: I have been looking at the idea of an induction heater for use in my job. I'm a mechanic by trade, nicknamed proffessor screwtop by my workmates :) Snap recently introcuced the...

Homework Statement (1/2!)+(2/3!)+(3/4!)+...+(n/(n+1)!) a) calculate for a few small values of n. b) Make a conjecture about a formula for this expression c)Prove your conjecture by mathematical induction. Homework Equations The Attempt at a Solution So for the first part I just used values...

Hello everyone, I have the following problem understanding electromagnetic induction. THis is not a homework question but it's a thought experiment I seem to not succeed in doing. Let's take the situation where you move a rectangle shaped plate with a speed perpendicular to a homogenous...

I need to create graphs of: 3 Phase Torque vs RPM Current vs RPM Mechanical Power (HP) vs RPM Efficiency vs RPM Power Factor vs RPM for Slip between nearly 0 and 1 for a 5HP, 60 hz, 440Vac, 4 pole, 3 phase induction motor. I'm having trouble finding equations online relating...

Hey guys I am in precalculus right now and we just started picking up mathematical induction. Our teacher assigned us a problem that I am stumped over and I tried looking all over for a clear explanation online but I can't find anything remotely helpful. The question is: Use mathematical...

I took a physics competition recently and found I missed 6 questions on electromagnetic induction and the like. I've always been shaky here, so I'm wondering if anyone can give me an online resource, or just explain to me exactly how it works (i.e., Lenz's law, etc., etc.)? I'm sorry for not...

My question is about the induction method. This was in a theorem that I read. Let H be a normal subgroup of a finite group G. If G satisfies H-some statement then G is solvable. In the poof I have this. Let G be a counter example of minimal order. Let N be a proper normal subgroup of G. Since...

My question is about the induction method. This was in a theorem that I read. Let H be a normal subgroup of a finite group G. If G satisfies H-some statement then G is solvable. In the poof I have this. Let G be a counter example of minimal order. Let N be a proper normal subgroup of G. Since...

Hello everyone, How are you doing? I have a doubt about electromagnetic induction, in three particular cases. I need to confirm that I have the right concepts, so I ask for your help. The main problem: Imagine that you have a permanent magnet, axially polarized and rotating on its...

1. Define a sequence of numbers in the following way: a[k]=a[k-1]+a[k-2]+a[k-3] for k≥3, s.t. a[0]=1, a[1]=2, a[2]=3, a[3]=6... *The numbers in brackets will be subscripts for the whole problem Prove that a[n]≤2^n using complete mathematical induction. This is what I have so far. We'll use...

Hello all! I was researching about magnetism to investigate the processes which occur when a magnetic object is stuck onto a magnet. I gather that this will be due to the alignment of magnetic domains and as such, the sum of all these electron spins in one direction will cause the attraction to...

Homework Statement Prove that ({x^n})' = n{x^{n - 1}} by COMPLETE induction.Homework Equations Nothing.The Attempt at a Solution I did the base step for n=1 and then I suppctosed that it was true for n-1 but then I thought about it and I wonder why the professor told us to prove this by...

I've been having a lot of trouble with this proof lately: Prove that, F_{1}F_{2}+F_{2}F_{3}+...+F_{2n}F_{2n+1}=F^{2}_{2n+1}-1 Where the subscript denotes which Fibonacci number it is. I'm not sure how to prove this by straight induction so what I did was first prove that...

Homework Statement If I move a SQUARE conductive layer in a forward direction, with a magnetic field pointing vertically upward why is an EMF only induced in the left-right plane NOT the forward-backward plane??Homework Equations The Attempt at a Solution I would have thought that as BOTH...

Homework Statement See attachment The Attempt at a Solution cos theta = 1 so we'll ignore that. I don't understand what's going on, it seems like the book has violated basic algebraic rules. The original equation, simplified somewhat is: ε = (BA)/t In order to get B by...

Hi guys I'm looking to make an induction heater to heat bits of steel and aluminium (maybe 15mm by 25mm). Can anyone recommend a good source of information in terms of calculating the various parameters and other general information? I've looked at many websites but a lot of them seem to...

Homework Statement By what method will a positively charged rod produce a negative charge on a conducting sphere that is placed on an insulating surface. Homework Equations a) by means of conduction b) by means of induction c) by means of convection d) none of the choice are correct...

Homework Statement You are holding a conducting loop of copper and looking at its circle. Behind it is a long current-carrying wire carrying the current from left to right. As you pull the loop toward you, what is the direction of current flow if any? A)No way to tell B)Counter-clockwise...

If a permanent magnet is moved in a direction at right angles to the magnet field lines in the magnet, is an emf produced across the magnet? Mike

hi this question i just cannot do. i have no idea where to start: a student is trying to recall the formula for the sum of cubes of consecutive numbers. she thinks it may be (n^3(n+1)^3) /8 or (n^2(n+1)^2)/4 . show by counter example one is incorrect and the other is correct by induction...

Hi, I am doing coursework on Faraday's law of induction. My assignment was to carry out experiments which confirm Faraday's law and also to explain the physics of how faraday's law works... My experiments all worked perfectly, producing straight line graphs showing that: \epsilon\propto N...

For some questions strong induction would test for cases n+1, n+2 and for other n+1,n+2,n+3, or other ways, why is that? Here's two examples Suppose that the only paper money consists of 3-dollar bills and 10-dollar bills. Find what dollar amounts can be made from a combination of these...

I have to do the following using these axioms PA1-7, the others below it are previously proved results I can use too. [Sa] means the successor of a. Base Case: y = S0 x.S0 = S0 → x.0 + x = S0 → 0 + x = S0 → x = S0 & y=S0 Now the induction step is usually y=a to y=Sa, however this does...

Homework Statement Does \sum_{k=1}^{n}(\frac{1}{2k-1} - \frac{1}{2k}) = \sum_{k=1}^{n}\frac{1}{k + n} hold for 1 \leq n Homework Equations The Attempt at a Solution It holds for n = 1. I assume that it should be done with induction but I can't find a way actually compare the...

When a conducting wire is subjected to a changing magnetic field, what causes the electrons in this wire to move? Conversely, why does the movement of current in the wire (with a non-'moving' magnetic field) cause the wire to move? I understand these phenomena macroscopically (and that they...

Homework Statement Prove by Induction the 11^(n+1)+12^(2n-1) is visible by 133. For all n>1 or n=1 Homework Equations The Attempt at a Solution I have shown that the base case of n=1 holds. Then I assumed that the original statement "11^(n+1)+12^(2n-1)is divisible by 133"...

Homework Statement The problem (and its solution) is attached as Problem.jpg. Homework Equations Base case, induction hypothesis, and induction step. The Attempt at a Solution I see that the base case is correct and I also see how everything under "Proof:" is done algebraically. As...

I am about to build an induction coil in the traditional manner, after "A. T. Hare". The dimensions intimated in the book are confusing and imply there are 96 pies 3/16" each or 18" long - this is the length of the core, and the book indicates around 13" between ends of coils. The book also...

I think I'm pretty good at standard induction. Never had a problem. Induction and recursion is mercilessly whooping my ***. Homework Statement Let a1 = 1. For each natural number n > 1, let an = 3an-1 - 1. Prove that for each natural number n, an = 1/2(3n-1 + 1) Homework...

Homework Statement Let a(1)=a(2)=5 and a(n+1)=a(n)+6a(n-1), n≥2 Use induction to prove that a(n)=(3^n)-(-2)^n for n≥1 Homework Equations Not applicable The Attempt at a Solution I have check that a(3) = 5+6·5 = 35 = 3^3-(-2)^3 so it holds for n = 3. The cases n = 1 and n = 2...