Induction Definition and 999 Threads

In induction cooking which effect is more dominant.EDDY CURRENT OR HYSTERESIS and at which range of frequencies?

Could anyone please help with this question regarding mathematical induction; step by step procedure/ solution would be greatly appreciated. Thanks!

Homework Statement A three phase cage rotor induction motor running at full load draws a stator current of 60A at a power factor of 0.8 lagging from a 415v, 50Hz Supply. Under the conditions the stator loss is 3.6kW, the rotor loss is 1.3kw and percentage slip is 4.5%. If the shaft power...

1. Prove that n2 > n+1 for all n≥2 2. First, (2)^2>2+1...4>3 Now for the induction step, (n+1)2 > 2n+2 Can I just show that n2+2n+1 > 2n+1+1 because 2n+1 = 2n+1 for both sides and n2>1 for all n>1 I'm pretty sure what I did is not acceptable fro this to be considered proved

Hello all My question is: Induction motor with nominal load rotates with nominal speed. How the slip will be changed if we decrease input voltage in 10%? I think that if we decrease the voltage, than the current will be decreased also. Than, the moment will be decreased and mechanical...

Homework Statement Homework Equations That is my solution: The Attempt at a Solution i solve my problem without ø=30°, I confused what this angle was used to do?

Can someone help me solve the following problems from Discrete Maths, using induction to prove them Thanks in advance

I have a confusing, i think it lose electron instead of gaining electron. Help me, please

Homework Statement Thin conducting disc, radius a, thickness b and resistivity p (assumed to be large enough induced currents produce no magnetic field). There is a uniform B field B0sin(wt) parallel to its axis. I first had to find the electric field a distance r from the disc axis in the...

Homework Statement An induction device is set up as shown below. It has a U-shaped conductor of negligible resistance along which a conducting slider of resistance R moves in the x direction. The assembly is immersed in a uniform magnetic flux density B of magnitude B0 that is directed out of...

Homework Statement Prove for any ##a,b \in \mathbb{R^+} : |a-b| \leq \sqrt{a^2 +b^2} ## The Attempt at a Solution How should I start? Can I use induction? Should I use contrapositive?

hello, i was wondering if anyone could help me with this induction proof. thank you A positive well-formed formula in the Propositional Calculus is a well-formed formula that avoids all use of the negation symbol ∼ . (a) Use induction on the length of a wff to prove that if W = W(P1,...,Pn) is...

When solving for mutual induction, how do you know what surface to take the flux over?

Hi, I'm currently having trouble with using strong induction to prove a recursive sequence and don't know where to begin, any help would be great thanks. Define a recursive sequence f(0), f(1), f(2),... by f(0) = 0 f(1) = 1 f(n+1) = 3f(n) + 10f(n-1), for all integers n>=1 Prove by strong...

Homework Statement I can not understand this question: "Describe the characteristics of a three-phase induction motor?" Does it mean speed,torque,etc? Thanks Homework Equations The Attempt at a Solution

Homework Statement the ans is C for this question. i really have no idea , van someone explain please? Homework Equations The Attempt at a Solution

Homework Statement for this question, i only know that E=-L dI/dt... the ans is C , can anyone explain how to get C? Homework Equations The Attempt at a Solution

Hello! :) Knowing that $\forall k,n \in \mathbb{Z}_{\geq 0} : C(n,0)=1, C(n,k)=0 \text{ for } k>n, C(n,k)=C(n-1,k)+C(n-1,k-1) \text{ for } 1 \leq k \leq n$ show that $\forall 1\leq k \leq n, n \in \mathbb{N}, C(n,k)=\frac{n!}{k!(n-k)!}$ That's what I have done: For $n=1...

Are these satisfactory answers? Question 1: http://i.imgur.com/EElOqwM.jpg Question 2: http://i.imgur.com/SlE2jza.jpg?1 Thank you :)

Homework Statement 9 volt battery 1 Nail Few paper clips Cooper Wire Switch Homework Equations Why my Electromagnetic Induction experiment failed ? It did not create electromagnetic field to attract surrounding paper clips. What are missing here ? How to do successful home-made...

I get that by getting a charged object near an uncharged one, charges of the opposite sign are induced on the surface, but, since the total charge of the whole object is still zero (because electrons move inside the conductor and can't escape because surroundings insulate it) , the object as a...

The well ordering theorem states that every non-empty set has a least element for some ordering (<). This means that if we take the set of natural numbers, by considering the Peano Axioms ONLY, we can find an order (<) (not necessarily the usual one) in which the set of natural numbers N has a...

Induction heating relies on an ac current to produce a changing magnetic field and hence a conductor will experience a changing magnetic flux. This induces an emf and then a current and thus heat. Heat generated is P=I^2 * R From this, it would appear that a very high resistance would lead...

Homework Statement Prove that an+2=an+1+an where a1=1 and a2=1 is monotonically increasing. Homework Equations A sequence is monotonically increasing if an+1≥an for all n\inN. The Attempt at a Solution Base cases: a1≤a2 because 1=1. a2≤a3 because 1<2. Am I supposed to prove...

When a charged body is brought near one end of a rod, opposite charge is produced at the opposite end of the rod. This is written in my book. Why is charge produced at only the opposite end?

I am having a heck of a time with this proof. I am given both the recursive and closed formula and am supposed to prove that they are equivalent using induction. This is what I am given: bk = 3bk-1+2 for k <2 and b1=2 the closed formula is bn= 3n-1Trying to solve it this is as far as I have...

In proving the induction principal using the well ordering principal of the Natural Nos the following proof was suggested: Given : 1) Let S be a subset of N (=Natural Nos) 2) $1\in S$ 3)$\forall y[y\in S\Longrightarrow (y+1)\in S$ Then prove : S=N Proof: Let , T= N-S and $T\neq\emptyset$...

Here is the question: I have posted a link there to this thread so the OP can view my work.

Homework Statement Prove if n is an odd integer then n^2 - 1 is divisible by 8 The Attempt at a Solution I already set up the whole inductive step and everything but I am trying to prove it works for n+1, here is what I have so far... n=2k+1 ((2k+1)+1)^2 - 1 = 4k^2 + 8k + 3 = 8m Where k...

Hi. Having measured an induction motor on no load and obtained a torque figure, I have noticed that when load is increased, the torque continues to decrease. How it this possible as I am observing a reduction in rotor speed and increase in rotor currents and current drawn from supply?

Hi, Does anyone know or could help me understand the reasoning for the amount of slip within an induction motor decreasing with frequency under the same load conditions? I.e. For no external load, the slip is higher at 50Hz than at 20Hz etc? Thanks

Hi, I am currently simulating a 3 phase induction motor system. One of the tests that I have run is to keep the motor parameters (reactance, resistance etc.) constant, and then change the frequency of the supply (50, 40, 30 Hz etc.) before measuring input parameters (current and power drawn...

Homework Statement A 425 mA conventional current is induced in a 48.0cm wire moved through a magnetic field. A 11.5 Ω resistor is connected to the wire as shown in the diagram below. If the magnetic force acting on the wire is 323 mN, then determine the direction and magnitude of the velocity...

Homework Statement I have been working on this proof for a few hours and I can not make it work out. $$\sum_{i=1}^{n}\frac{1}{i(i+1)}=1-\frac{1}{(n+1)}$$ i need to get to $$1-\frac{1}{k+2}$$ I get as far as $$1-\frac{1}{k+1}+\frac{1}{(k+1)(k+2)}$$ then I have tried...

Homework Statement I have been working on this proof for a few hours and I can not make it work out. $$\sum_{i=1}^{n}\frac{1}{i(i+1)}=1-\frac{1}{(n+1)}$$ i need to get to $$1-\frac{1}{k+2}$$ I get as far as $$1-\frac{1}{k+1}+\frac{1}{(k+1)(k+2)}$$ then I have tried...

Homework Statement I have two problems that I can't figure out how to turn into summations so I can solve them. 1. Prove by induction (\foralln)P(n), P(n) is 3|(4^{n}-1) I believe the | means divides. 2. Prove by induction (\foralln)P(n), P(n) is n! \leqn^{n}

Homework Statement Prove by induction that the sum of the first n "squares" is n(n+1)(2n+1)/6 In other words prove (\foralln) P(n) where P (n) is \sum^{n}_{i=1}¡^{2}=\frac{n(n+1)(2n+1)}{6} Homework Equations This is just not clicking for me right now. I have no idea if i am just epic...

Hi, When a load is applied to the rotor of an induction motor, the rotor speed decreases and as a result, the induced currents in the rotor and the torque produced increases due to the relative speed difference between the rotor and the rotating field within the stator. My question is...

Homework Statement Prove by induction that for any positive integers a, b, and n, (a choose 0)(b choose n) + (a choose 1)(b choose n-1) + ... + (a choose n)(b choose 0) = (a+b choose n) Homework Equations (x choose y) = (x!)/((x-y)!y!) The Attempt at a Solution I am able to do the...

Define the sequence of integers a1, a2, a3,... as follows: a1 = 3 a2 = 6 an = 5an-1 - 6an-2 + 2 for all n ≥ 3 Prove that an = 1 + 2n-1 + 3n-1 ------------------------------------------------------------------------------------------------ my attempt: base case: n=1 1+ 20 +30 = 1...

Homework Statement (5^2) + (11^2) + (17^2) +...+ (18n-1)^2 a)Write the sum in sigma notation b)Using the sigma identities solve the sum (easy to do)Homework Equations ∑i = .5*k*(k+1) etc The Attempt at a Solution The problem I'm having is with the 25 and 121. I thought it was ∑ (6n-1)^2...

hi i have this homework question and I am not sure if my thought process is valid. The Question: let a, b and c be roots of the polynomial equation: x^3+px+q=0 and S(n)=(a^n)+(b^n)+(c^n) now prove: that for S(n)= -p(S(n-2))-q(S(n-3)) for n>3my attempt: ------------- first off...

Homework Statement In the lab I am writing about, here were the directions 7. Predictions: Touch a metal sphere to neutralize it. Holding the plastic handle, bring the metal sphere in contact with the charged foam slab. Do not touch the sphere at any time. Take the sphere away from the...

How is the back induced current in the secondary coil transferred to the primary ? I know how mutual induction occurs (and I know that a the bst possible example would be a transformer) but I don't understand how it actually occurs ( I know it,but I still can't get it) I mean I get why when...

In the case of self induction, when the intensity increases gradually an emf is induced which generates a back current " equal in magnitude, opposite in direction " to oppose the increase, so if that is right shouldn't the intensity in the coil Become ZERO till the intensity becomes steady?

Here is the question: I have posted a link there to this thread so the OP can view my work.

Recall that the fibonacci sequence is defined as { f0=0; f1 = 1 and {fn = f n - 1 + fn -2 for n 2 Prove by generalized mathematical induction that fn = 1/sqrt(5)[ϕn - (-ϕ)-n] where ϕ = [1+sqrt(5)]/2 is the golden ratio.. (This is known as de Moivre's formula.) So...

Hello Everybody, Can anyone explain, what is thee difference between 'electrical spped' and 'mechanical speed' of rotor in an induction motor? what do they signify? Many literatures say that electrical speed is no of pole pairs times mechanical speed, if somebody can explain... Thanks

is the rotor rotating magnetic field(R-RMF) present in squirrel cage induction motor (SCIM). Is it same as in 3 phase ROTOR winding of slip ring induction motor (SRIM), generating rotor RMF. * THE 3 phase, supply given to stator 3 phase winding of SRIM, generates (RMF), which cuts the rotor 3...

Homework Statement Hi, I'm new here, so pardon me for my mistakes. ;) I need someone good at maths to check my answer: Let y=x sinh x (a) Show that d^2 y/dx^2 = x sinh x+2 cosh x, and find d^4 y/dx^4 (b) Write down a conjecture for d^2n y/dx^2n. (c) Use induction to establish a...