What does toroid mean?
1 : a surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect it. 2 : a body whose surface has the form of a toroid.
Where is toroid used?
A toroid is a coil of insulated or enameled wire wound on a donut-shaped form made of powdered iron. A toroid is used as an inductor in electronic circuits, especially at low frequencies where comparatively large inductances are necessary.
What is toroid formula for toroid?
The formula for the magnitude of magnetic field inside a toroid is: B=μoNI2πr.
Why is toroid used?
You would use a toroid coil when working with electricity that has a low frequency. A toroid works as an inductor, which boosts the frequency to appropriate levels. Inductors are electronic components that are passive, so that they can store energy in the form of magnetic fields.
How is a toroid made?
Electromagnets have magnetic fields created from currents. The wire of a solenoid is often formed into a helical coil, and a piece of metal such as iron is often inserted inside. When a solenoid is bent into the shape of a circle or doughnut, it is called a toroid.
Who discovered toroid?
The History Prior to immigrating from Sweden in 1982, Gunnar Ennerfelt had founded Toroid Transformator AB (TTAB) in Vaxjo, Sweden in 1978, preceded by five years as the president of Transductor AB, a company that pioneered the development of labor saving manufacturing methods of power toroids in the late sixties.
What is a toroid ring?
The toroidal ring model, known originally as the Parson magneton or magnetic electron, is a physical model of subatomic particles. It is also known as the plasmoid ring, vortex ring, or helicon ring.
How do I install toroid?
To install a toroid: Wrap each modular cable tightly around the toroid. Secure the cables with a small cable tie to reduce cable movement….Installing Toroids
- See Toroid Installation.
- Minimize the amount of cable between the toroids and the chassis.
- Wrap cables as tightly as possible.
How does a toroid work?
Toroidal transformers are power transformers with a toroidal core on which the primary and secondary coils are wound. When a current flows through the primary, it induces an electromotive force (EMF) and then a current in the secondary winding, thereby transferring power from the primary coil to the secondary coil.
What is a toroid shape?
In mathematics, a toroid is a surface of revolution with a hole in the middle, like a doughnut, forming a solid body. The axis of revolution passes through the hole and so does not intersect the surface. The term toroid is also used to describe a toroidal polyhedron.
Is the Earth a toroid?
According to the laws of physics, a planet the shape of a donut, or toroid, could actually exist — but it’s extremely unlikely to ever form naturally.
What is the shape of ideal toroid?
A toroid is a coil of insulated or enameled wire wound on a donut-shaped form made of powdered iron.
What is the shape of a torus?
In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution.
Are humans a torus?
Topologically speaking, a human is a torus. Your digestive system is the hole in the doughnut. Interestingly, this means in a two-dimensional world, an organism couldn’t have a similar structure, since the digestive system would completely separate the animal into two halves.
Is Torus A 3D shape?
A torus is a three dimensional shape that looks like a donut, the inner tube of a tire and a lifebuoy used to help rescue people in water. Check out our pictures of shapes. Now that you know about curved 3D shapes, try learning about cubes and other 3D polyhedron shapes.
What is the curvature of a torus?
Thus, the total curvature of any torus must be zero, so that regions of positive curvature must be counterbalenced by regions of negative curvature. This is a topological statement; no matter how you twist a torus, its total curvature must be zero.
Can curvature be negative?
A surface has negative curvature at a point if the surface curves away from the tangent plane in two different directions. Any point on the inside of a torus has negative curvature because there are planar cuts that yield curves that bend in opposite directions with respect to the tangent plane at the point.
Does a cylinder have curvature?
A flat piece of paper, or the surface of a cylinder or cone, has 0 curvature. A saddle-shaped surface has negative curvature: every plane through a point on the saddle actually cuts the saddle surface in two or more pieces.
Which type of Gaussian curvature is developed?
Most surfaces will contain regions of positive Gaussian curvature (elliptical points) and regions of negative Gaussian curvature separated by a curve of points with zero Gaussian curvature called a parabolic line.
What is the formula for curvature?
The radius of curvature of a curve at a point M(x,y) is called the inverse of the curvature K of the curve at this point: R=1K. Hence for plane curves given by the explicit equation y=f(x), the radius of curvature at a point M(x,y) is given by the following expression: R=[1+(y′(x))2]32|y′′(x)|.
What is normal curvature?
Given a regular surface and a curve within that surface, the normal curvature at a point is the amount of the curve’s curvature in the direction of the surface normal. The curve on the surface passes through a point , with tangent , curvature and normal .
What is the Gaussian curvature of a cone?
Gaussian curvature. The intrinsic curvature of a surface was defined by Gauss in his General Remarks on Curved Surfaces (1827). For example, at any point in the plane, on a cylinder or on a cone (except the cone point) the Gaussian curvature is 0; at a point on a sphere of radius R, the Gaussian curvature is 1/R2.
What is the formula for finding Gaussian curvature K?
The rate of surface bending along any tangent direction at the same point is determined by the two principal curvatures according to Euler’s formula. Let κ1 and κ2 be the principal curvatures of a surface patch σ(u, v). The Gaussian curvature of σ is K = κ1κ2, and its mean curvature is H = 1 2 (κ1 + κ2).
When the first curvature vanish the surface is called?
Such a surface is called a minimal surface. A surface is minimal if and only if its mean curvature vanishes.
What does curvature mean?
1 : the act of curving : the state of being curved. 2 : a measure or amount of curving specifically : the rate of change of the angle through which the tangent to a curve turns in moving along the curve and which for a circle is equal to the reciprocal of the radius.