Mutual inductance Definition and 119 Threads

Homework Statement Not sure if I'm correct or wrong..because usually M12 = M21 The Attempt at a Solution Here coil 1 and coil 2 are coaxial, with coil 2 being shorter and having smaller area.

Homework Statement There are two circuits in the XY plane: one is a square (side 0.2 m in length) centered on the origin. The second is circle or radius r also centered on the origin. The circle is smaller than fits inside) the square. By assuming the radius of the circle is small compared...

Hello, I am trying to derive the mutual inductance between the two coils of a transformer. I want to do this for two coils with different lengths and different cross-sectional areas (assuming that one side of the transformer core is thicker than the other). The parameters are therefore: I1...

Homework Statement In the circuit shown in the following figure(Figure 1) the capacitor has capacitance 20 microF and is initially uncharged. The resistor R_0 has resistance 12 Ohms . An emf of 90.0V is added in series with the capacitor and the resistor. The emf is placed between the...

Could anyone give me a link that explains or simply explain to me how the dot convention on the mutual inductance works? For example, I'm trying to draw an equivalent circuit that converts the dots into voltage sources of this circuit...

So I know transformers work by mutual inductance. A first loop that is connected to AC current produces an alternating B which produces a changing flux. As a result an induced Emf is formed. This Alternating B is also alternating in the second coil as well to produce same emf (if same number of...

The problem I have is the following: Two Coils have a resistance of 25 ohms and an inductance of 20 mH. Coils are mutually coupled with a coefficient of coupling of 0.6. (a) Calculate the voltage input to the first coil to develop a power of 1.6W at a frequency of 1 kHz. with a load of 55<-40...

Homework Statement See attached. Homework Equations The Attempt at a Solution (5+j8)I1-j6I2-j3I2-j3I1*2=magnitude(12) degrees (60) (5+j2)I1-j9I2=magnitude(12) degrees (60) j2I2-j6I1-j3I1=0 -j9I1+j2I2=0 I put these equations into mathematics software and get the answers...

Homework Statement The ignition coil supplies V=20kV to the spark plugs. The maximum current in primary coil Imax=4.0A. The current is interrupted 100 times/sec by the distributor points. Estimate the mutual inductance M of the primary and secondary coils. Hint: I have to make a...

Hello. I am working through the book "Analysis of Electric Machinery and Drive Systems" by Krause. On p.51, the mutual inductance between two windings (a and b) of a 3-phase machine (generator) is calculated. I am struggling to follow the integration performed on eqn 1.5-15 to arrive at eqn...

http://img638.imageshack.us/img638/989/newbitmapimagety.png I am running my loop current equations for this circuit and have. -1+-j6*(I1-I2)=0 -j6*(I2-I1)+j20*I2 +j12*I3=0 (j30-j2+j5+4)*I3+j12*I2=0 But i am being told that the mutual inductance term j12 should be negative in both. My...

*This isn't a problem so much as needing to fill in the gaps from a lecture where I was taking notes on painkillers due to surgery. The problem statement is my best guess as to what exactly was said by the instructor. Homework Statement "Find the mutual inductance (M) of a square-bore...

Friends: I would like to verify my understanding of mutual induction. Coil 1: n1 turns per unit length, radius is r1, has a current I1 Coil 2: n2 turns per unit length, radius is r2, has a current I2 (in the same direction as I1) r1 > r2. Coil 2 is inserted inside Coil 1. What is the...

Friends: Lets say you have a conductor that is made of two components - an inner core of steel and an outer layer of aluminum (ACSR). Is there mutual inductance between the steel and the aluminum? Every example of mutual inductance I have seen requires that an insulated wire be wrapped around...

Friends: I have been thinking about this question for a while, so I hope you can help! Here it is: Lets say you have two concentric, conducting cylinders. The outer cylinder ("Cylinder 2") has the following properties: radius R2, carries a current of I2, relative magnetic permeability...

Homework Statement Find the coefficient of mutual inductance between the twin lead and square circuit if they're being circulated by currents I1 and I2 respectively. Also find the interaction energy and force between the two. See image [PLAIN]http://img94.imageshack.us/img94/1277/induct.png...

im trying to understand the mutual inductance in induction motor operation...How the mutual inductance occur in induction motor? what it does with the rotating magnetic field?

Homework Statement A coil of self inductance L_{1} is coupled to a second coil of self inductance L_{2} and resitance R. The coefficient of mutual inductance is M. The second coil is short circuited whereas the first coil is connected via a switch, to a voltage source V_{0}cos \omega t...

Homework Statement Consider two rectangular loops. An outer and inner loop. Assign outer loop a length a and width b. Assign inner loop length c and width d. Apply a current to the outer loop. Determine an expression for the mutual inductance between the loops. Homework Equations...

This problem is tougher than I though and I'm stuck on a couple of things. Homework Statement There are 2 inductors, a DC power source, 2 resistors, and a switch. The circuit looks just like the image I've attached, except it will have a switch on the left of the first resistor and the...

Homework Statement Suppose a fixed distance separates the centers of two circular loops. What relative orientation of the loops will give the maximum mutual inductance? What orientation will give the minimum mutual inductance? Homework Equations none The Attempt at a Solution...

Homework Statement http://nplq1.phyast.pitt.edu/res/csm/csmphyslib/type66_inductance/PairOfCoils.jpg Coil A is a large 400 turn circular coil of radius 91.0 cm. Circular coil B has 160 turns, a radius of 2.0 cm and is located L = 92.0 cm from coil A along the same axis. The planes of the two...

Hey Folks. I am currently designing a buggy which tracks an inductive wire using two inductor sensors. The wire is carrying 20Vac pk-pk , 125ma at 10kHz. I have designed a sensor circuit which has a ratio of 2:1 ie it outputs a waveform of 10Vac pk-pk (assuming 100% mutual inductance). This is...

Homework Statement A 0.100m long solenoid has a radius of 0.05m and 15000 turns. The current in the solenoid changes at a rate of 6.0 A/s. A conducting loop of radius 0.0200m is placed at the center of the solenoid with its axis the same as that of the solenoid. Determine the mutual...

I'm not really sure where to put this question. I'm trying to project current output of a ciruit I am building. Suppose that an initial current which pulsates according to time, t, is given as I = sin(wt)+1. I have two inductors which share the same core in close proximity, the first having...

I am trying to design UHF quadrature couplers from the following references: [1] 'Broad-Band Twisted-Wire Quadrature Hybrids' , http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=1127996 [2] 'Twisted wire Quadrature Hybrid Directional Couplers' QST Vol 63 January 1978 pages 21-23...

Homework Statement A single rectangular loop is placed distance C from a wire of current I. The dimensions of the loop are BxA. The loop and wire both lie in the same plane, and a is at right angles to I. Derive an expression for the mutual inductance, given that you found flux in a previous...

What is the relation between the coupling coefficient and the fraction of flux from one inductor going through the other inductor?

Consider a solenoid which is almost toroidal, with a few turns missing (say you have 1000 turns on 99% of the circumference of the toroid) - they will form the primary winding. Let us have 10 turns on 1% of the circumference of the toroid - they will form the secondary winding. Since practically...

Consider two solenoids, an often familiar formula for the induced emf from 1 solonoid in the 2nd solenoid is [PLAIN]http://http://www.mediafire.com/?ymfmhzjgqkgenjz. My question is. Doesn't this only account for the emf induced in solenoid # 2 from solenoid #1, and not the emf induced in...

I've been working my way through an old scientific paper on inductance calculation, and there's a fundamental principle I'm having a problem with. Suppose there are two filamentary conductors of any arbitrary shape. Now consider an infinitesimal element dl1 somewhere on the first conductor...

I have a very basic question regarding mutual inductance. Consider a basic square loop with two coils wound on opposite sides from each other, with coil one excited while coil two si left open circuited. The total flux linking coil 1 is Φ11 = Φl1+Φ21 where Φ11 is the total flux...

Homework Statement So, I have a problem where I have two concentric current loops. The final statement in the problem is: "estimate the mutual inductance between loops if the positive direction of current is the same for both loops." If the currents of the loops are the same direction, how...

Homework Statement One solenoid is centered inside another, The outer one has a length of 50cm and has 6750 coils, while the coaxial inner solenoid is 3cm long and 0.12cm in diameter and contains 15 coils. What is the mutual inductance of these solenoids? Homework Equations M=N1\phi1/I2...

Homework Statement A long solenoid (black coil) with cross-sectional area A cm^2 and length L is wound with n1 turns of wire. A time-varying current i1 flows through this wire. A shorter coil (blue coil) with n2 turns of wire surrounds it. Use (uo)(m*kg/s^2*A^2) 1) Find the value M of the...

URGENT!: Self and mutual inductance Homework Statement 1http://img20.imageshack.us/img20/8531/asdasdasv.png a) Calculate L1, L2 and M for the coils in the following toroid (using thin toroid condition), the induced EMF in the second coil and the polarity. N1 = 500 N2 = 200 I1 = (20 +...

Homework Statement http://img265.imageshack.us/img265/8616/43354308.png I have an exam coming up in a few days and I am doing some revision questions from some past exams and this is one I have attempted but I have no solutions to check my answers. The Attempt at a Solution using Vs = 12cos(...

Homework Statement Homework Equations E=-M\frac{di}{dt} The Attempt at a Solution Can anyone even tell me what the heck this problem is asking? This chapter has been a nightmare and I don't understand any of it. The book is terrible and barely explains what 'mutual inductance'...

Homework Statement A mutual inductor consists of two coils X and Y arranged so that one quarter of the magnetic flux produced by X links with Y. When X is used as the primary coil and Y as the secondary, the mutual inductance is M. What is the mutual inductance when Y is used as primary coil...

Mutual inductance as a psuedo-capacitor? 1. I am testing how reduced the mutual inductance btwn two parallel ring-shaped inductors is when a material is placed btwn them. The primary coil is connected to an AC generator in series with an ammeter (on the order of mA), and the secondary in...

Hi, I would like to ask a question about Mutual Inductance and Transformer. Suppose I have two coils N1 and N2, where N1 is the primary coil and N2 is the secondary coil that is connected in series with some resistance Rx. If I place a voltage V1 across the primary coil, the output voltage V2...

i am having a doubt that when we find a expression for mutual inductance we say that flux change in primary coil induces emf in secondary coil. but why change in flux doesn't induce any current in primary coil also.

Hi, I recently performed a stator core loop test and am now in the process of capturing the setup and results in a report. A short explanation of the test setup and execution: A cable is wrapped around the core and energized, which induces a magnetic flux through the core. The core...

Homework Statement The mutual inductance between two coils is 0.0100 H. The current in the first coil changes uniformly from 2.7 A to 5.0 A in 0.160 s. If the second coil has a resistance of 0.600 Ω, what is the magnitude of the induced current in the second coil? Please show stepsHomework...

If there is a circuit consists of a long thin conducting shell of radius a and a parallel return wire of radius b on axis inside. If the current is assumed distributed uniformly throughout the cross section of the wire, must we calculate mutual inductance?

Hi, I am en electrical engineering grad student and I have to solve an equation to calculate the mutual inductance between an antenna and a micro-inductor. I think it is a Bessel equations but I don't know how to solve. M(a,b,d)=(1.45x10^-8)*integral(J1(1.36x)*J1(0.735x)*exp(-x-13.6))dx...

Find the mutual inductance (H) of the solenoid and coil shown below. The solenoid has 5263 turns per meter and an area 112 cm^2, and the coil has 230 turns and an area 19 cm^2. I know that mutual inductance = (N1 Φ1)/ I2 but I have no idea where to begin since they don't provide the...

Homework Statement Homework Equations Φ = M*I Biot-Savart law Ampere's law The Attempt at a Solution I have the formula Φ = M*I, which means that to find the mutual inductance I simply need to find the magnetic flux through the top circuit due to the current in the bottom...

Homework Statement I have a part of circuit with 2 inductors (L1, L2) of given values having a given mutual inductance, and a (capacitor+inductor L3) parallel to L2. Please find attached the circuit.Homework Equations Find the impedance of this part of the circuit.The Attempt at a Solution (all...

1.I don't understand where the J2X2 comes from. Everything else seems fine but why is there a J2x2 CHECK ATTACHED PICTURE THANK YOU