What does toroidal surface mean?
What does toroidal surface mean?
A toroidal surface is a special case of an aspheric surface. It features two different curvatures perpendicular to each other. A lens or a mirror with such a shape therefore has two focal points, separated by an amount dependent on the difference of the two curvatures.
What is the surface area of a circular?
The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.
How do you find the volume of a toroid?
The volume of a torus is calculated by multiplying the area of the cross-section by the circumference of the ring. Volume = π × r2 × 2 × π × R.
Where is toroid used?
Toroidal inductors and transformers are used in a wide range of electronic circuits: power supplies, inverters, and amplifiers, which in turn are used in the vast majority of electrical equipment: TVs, radios, computers, and audio systems.
What is toroid Class 12?
Toroid is a hollow circular ring on which a large number of turns of a wire are closely wound. It can be viewed as a solenoid which has been bent into a circular shape to close on itself.
Is a donut a torus?
In geometry, a torus (plural tori, colloquially donut) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle.
What is the total surface area?
The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The sum of the areas of the rectangle and the two circles is the total surface area.
What is the volume and surface area of a toroid?
The volume (V) and surface area (S) of a toroid are given by the following equations, where r is the radius of the circular section, and R is the radius of the overall shape. V = 2 π 2 r 2 R. {displaystyle V=2pi ^ {2}r^ {2}R} S = 4 π 2 r R. {displaystyle S=4pi ^ {2}rR}
How do you find the surface area of a torus?
To find the surface area, we use the following formula: Surface Area = (R 2 – r 2)π 2. The formulas are a bit involved, but really, all we have to do to find the volume and surface area of a torus is measure its inner radius and its outer radius, and then plug those values into the formulas accordingly and simplify.
What is a toroid in physics?
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.
What is the difference between a torus and a toroid?
Doughnuts are an example of a solid torus created by rotating a disk, and should not be confused with toroids. A toroid is specified by the radius of revolution R measured from the center of the section rotated. For symmetrical sections volume and surface of the body may be computed (with circumference C and area A of the section):
