Solenoid Definition and 705 Threads

I realize that the standard formula for the inductance of a solenoid (L = (μ₀ * N² * A) / l, where A is the cross sectional area, N is the number of turns and l is the length) is for solenoids with only one layer of wire. I thought I could find μ₀ using this simple formula, but it does not work...

import numpy as np # Constants mu_0 = 4 * np.pi * 1e-7 # Vacuum permeability (T m/A) # Solenoid Parameters R = 0.007 # Radius of the solenoid (meters) L = 0.074 # Length of solenoid (meters) N = 1709 # Number of turns num_segments = 500 # Increased for better accuracy I = 1.01 # Current in...

Hello folks, I have a new different design of solenoid valve and would like to evaluate heat generation in the system. I am a mechanical engineer and might have less understanding of electrical components. Just trying to understand, the solenoid valve will have heat generation due to current...

Hi All, In the attachment, I have 3 scenarios in question. The first one is just a solenoid from http://hyperphysics.phy-astr.gsu.edu/. The second one is a hollow cuboid, which is infinitely long. I am using the same analogy as the solenoid. Would I be able to set the same Amperian loop? For...

Please help me understand whether my understanding is correct. If I have a solenoid like coil with empty middle , and a magnet that goes through the coil, the coil is longer than the magnet, there is induction as the magnet approaches the coil until the moment when one of the magnet poles is...

I don't have a strong technical background in this, so need some help. I'm currently investigating pulsed electromagnetic field (PEMF) devices to rehab injuries, and trying to figure out the best applicator and placement. The choices available are coils, mats, butterfly coils, paddles, and a...

What would happen if we tried forcing a bar magnet into a magnetic field created by a solenoid (look at the picture)? Assume that both the bar magnet and the solenoid are isolated form any other source of a magnetic field. What I am thinking: First of all, if we tried forcing the north side in...

Hi, This is not a homework problem, but a small personal project where I am looking to create a small solenoid that can create enough pushing force of approximately 0.5 lbs. I am wondering what the best route is to create this amount of force. So far, I was able to lift about 32g with my...

There are some magnet drop experiments in the literature and I want to try an alternative experiment to determine if the magnetic fields affect inertial mass. I am designing a submarine shaped enclosure where I will have either two 2"OD 1/4"ID 1"thick N42 magnets with their opposite poles...

Hi, I know, not another one, but I'm a more practical/engineering than scientific type - I need some tangible thing to learn stuff, so bear with me :) Let me say hello first :) The general idea was to model movement and electrical stuff with diff equations and do the hard part with femm. The...

The solenoid can be assumed to be a stack of rings of width ##dz## each where ##z:0\to-\infty## . $$i=nIdz$$ $$\sin\theta=\frac{R-r}{l}$$ $$\cos\theta=\frac{z+x}{l}$$ $$dB=\frac{\mu_{\circ}nIR d\varphi dz}{4\pi l^2}$$ Call ##\frac{\mu_{\circ}nIR}{4\pi}=\alpha## $$ B_y =\int dB\cos\theta ...

TL;DR Summary: Need help with figuring out how (or even if I can) to calculate the magnetic field field strength for this non-uniform magnetic field. I need help calculating the magnetic field strength (if it's possible) in the space between these two solenoids. It is for my year 12 depth...

In this situation I would have two solenoids facing each other, such that both ends are north for example, and when activated they are actively experiencing repulsion, I know that the magnetic field of both would decrease in strength, but would there be any affect on the electrical input of each...

$$\mu = 4\pi \times 10^{-7}$$ $$n = \frac{180}{0.135} = 1333.33$$ $$I = 1.85$$ $$L = 22.619$$ $$r = 0.014$$ $$F= \frac{\mu \times 1333.33 \times 1.85^{2} \times 22.619}{2 \pi \times 0.014}$$

$$E_{max}=N^2πr^2Bω=N×0.603V$$ $$<E_{avg.}>=<N^2πr^2Bω\sin⁡(ωt)>=E_{max.}<sin⁡(ωt)>=0$$ $$I_{max.}=N×0.0603A$$ Average Power loss=$$\frac{<(E_{ind}^2)>}{R}=N^2×0.018W$$ The correct solutions are : ##0.603## ,##0## ,##0.0603##, ##0.018## Why am I gettting an extra N? Is the emf of thin circular...

What is the difference between a current-carrying coil and a solenoid?

I assumed that the radius is referring to a major R like in the image below. I plugged all the values (except for length) into the equation B = µ*N*I/2πr to get 155.6 A for the current value. I am unsure if this is the correct value or if radius refers to minor r of solenoid, in which case a...

Hi All, I am trying to model this mechanism for a project. It is a switch that uses a solenoid to break the contact by lifting the aluminium arm. I understand that there is most likely software out there that can do this but i would like to understand how to model this from first principals. I...

I was thinking of using magnetic monopoles, but I don't know how to do. I tried to calculate the magnetic flux through the cross section of the solenoid if a current ##I## flows through it. Magnetic induction inside can be given as ##B = \mu_0 n I##, whereas magnetic induction at a distance...

I have no idea how to deal with the problem. Do you have any hints, please?

For a personal project, I need to calculate the EMF induced by a solenoid, the problem is, that the secondary circuit where the eddy currents are formed are outside the solenoid's length but still on it's axis. The problem comes when i need to calculate the vector magnetic field inductance at a...

Can someone explain to me what the second integral represents and what is A?

TL;DR Summary: Find acceleration of electron in dB/dt >0 Hello. Here is a problem that i'm not so sure about: Inside a solenoid there is a time-dipendent magnetic field B, so we have dB/dt = b (constant). We want to know the acceleration of an electron: a) placed in the center of the solenoid...

The formula we are given is E=(1/2r)(alpha)R^2(muo)Ioe^-(alpha)t. However, I am struggling to figure out what each of the symbols stands for in the formula...can someone help me out? Like super confused on what alpha is in this case.

Hi all, I'm attempting to build a jumping ring apparatus (a core of iron with the bottom wrapped with wiring like an electromagnet, so that when a metal ring is placed on top of the coil and a current is run through the coil, the ring jumps up into the air). Looking on the internet, I'm seeing a...

I am trying to understand the differences in design between a traditional solenoid with a ferrous plunger vs linear motors that use either induction or permanent magnets. From my understanding, a traditional solenoid, whether DC or AC, cannot fire in both directions with polarity switching since...

A am working on a project that uses this 12V DC linear actuator. The actuator utilizes a magnetic coil and plunger inner design (I believe this is just a solenoid). This actuator will need to use both directions of movement for the project. In terms of wiring, what do the two female connectors...

According to what I know, the net magnetic field ##\vec B## inside a solenoid is given by $$\vec B = \mu_0 \vec H + \mu_0 \vec I$$ where ##\vec B## is the net magnetic field inside a current carrying solenoid, ##\vec H## is the magnetic intensity ( aka magnetic intensity or magnetizing field...

I'm currently making a solenoid valve for a home project, I've been testing the solenoid with a DC Lab power supply, I have set the desired 12V but after connecting it drops and I get a high current with a small voltage. I understand that it will only draw the voltage required to push the...

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I am currently working on an experiment that involves dropping a magnet from varying heights and measuring how the induced emf of a solenoid changes as a result. I am currently somewhat struggling with a derivation for a relationship between the two variables, however, this is what I have been...

My question i am trying to solve: I have successfully done first order equations before but this one has got me a little stuck. My attempt at the general solution below: $${5} \frac{\text{d}\theta}{\text{d}t}=-6\theta$$ $${5} \frac{\text{d}\theta}{\text{d}t} =\frac{\text{-6}\theta}{5}$$...

I honestly have such a dumb question- it says “a pitch angle” but cannot find that in relation to a helix. It is not defined in the textbook. Looking on google I found a helix angle, but is that different than the pitch angle? Can anyone draw me a picture of where the pitch angle is? I assumed...

From ##\oint_{\Gamma}\vec{H}\cdot d\vec{l}=\sum I## by Ampere's Law which gives ##H \Delta l=\Delta N\cdot i\Leftrightarrow H=n i## where ##n=## number of turns per unit length so ##i=\frac{H}{n}=\frac{10^3 A / m}{\frac{200}{0.2m}}=1 A##. Since ##\vec{H}=\frac{\vec{B}-\mu_0\vec{M}}{\mu_0}## we...

The flux enclosed by the loop consisting of the solenoid, wires and conducting rod at an angle θ is Φ = blBsinθ, then using small angle approximations and differentiating the induced emf can be found. I know that there must be some torque opposing the motion but am unsure how to proceed.

Hello all, I'm playing around with a PIC + LCC Tank to send - at a 5MHz frecuency - some numeric data via BPSK. The receiver is a loop antenna placed in the ground. The sender antena (L) is a ferrite core solenoid (N=10). As having a larger core, or increasing the Number of coils around the...

In my textbook on EM, the formula for self inductance of a finite solenoid is given as: L= (μ(o)* N^2*A * {√(a^2+ l^2) - a} )/l^2 where a=Radius of each turn, l=length of solenoid. I am having trouble and extreme difficulty in trying to ascertain how this formula was derived in the book and...

Hey, I was trying to figure out this problem. I got (a) using B = mu * NI/L but I'm not sure how to start the part about the magnetic field in the gap after the solenoid is ripped in half with 1 cm gap. Thanks for the help!

For a solenoid, magnetic field at the centre = ##\mu_0nI##. I see the argument on why at the opening at the ends of the solenoid, the B-field is ##\frac12\mu_0nI##. Apparently, B-field is ##\frac12 \mu_0nI## at the sides of the solenoid too. (ie at/within the wires that make up the solenoid)...

Hi everyone, I've heard that it's better to close the "magnetic circuit" of a solenoid by adding a metal casing around the coils, but I don't get why : people say that it's for focusing the magnetic flux lines but how does it increase the force generated by the solenoid ? Thanks if you reply...

Assuming the position x = 0 if no air gap, max stroke of plunger is L. Bordery conditions: x(t=0) = L, x(t=T)= 0. Given magnetic force F(x) = kx(t)^-2, here k is constant. If uncontrolled, there is big crash noise afer solenoid actuated, so I wish it pull plunger at constant power. Help me find...

Hi There are mixed information on these on google. I want speed(low lag) first, valves will be open and closed 1-2 minutes. Controlling them with Arduino or ESP with relays. Do I get this right? AC 220 - controlling them with Solid State Relays + Speed of Solenoid with AC is faster than DC +...

Hello, thanks in advance, I do many many things, jack of all trades but master of none. Would some one be willing to help me with some formulas and calcs for making my own linear solenoid? I can give the final specs I'm after then I could use advice on materials and other variables. I'd like...

I have a bit of a mystery with a circa 1905 solenoid and not sure where to turn, hoping someone here might have some insight. The particulars Circa 1905 solenoid (application is an electromagnet in a self-winding clock) 8 layers of windings of 2 different cotton sheathed copper wires paper in...

I was reading some papers about calculating the magnetic field produced by a coil using the biot savart law and I saw some graphs that caught my attention. This one from a paper from Ravaud, et al. Titled "Calculation of the Magnetic Field Created by a Thick Coil". I saw similar graphs in...

Emf between the center of the disc and its rim = ##- \frac{d \phi}{dt }## = ##-B.A \frac{d \cos (\omega t)}{dt}## =##\mu_0 \frac{N}{L} I A \omega \sin (\omega t)## Potential difference across the ends of the solenoid = ##10\mu_0 \frac{N}{L} I A \omega \sin (\omega t)## Is this correct? How to...