Solenoid Toroid 

Solenoid and Toroid are magnetic field-producing devices that use the magnetic effect of electricity. Its key benefit over traditional magnets is that the magnetic intensity may be changed by adjusting the amount of electric current flowing via them. They can be switched on and off, as permanent magnets, making them excellent for a variety of applications.

Solenoid

A solenoid, like an electromagnet, creates a magnetic field by winding a coil into a closely packed helix. The length of the helix in a long solenoid is substantially more than the radius of the helix. The coil is positioned in such a way that a constant magnetic field is produced.

The wire used to construct a solenoid is insulated to ensure that the magnetic effects of no two turns collide. As a consequence, each turn can be thought of as a current loop. The vector sum of the individual magnetic fields of each current carrying loop produces the net magnetic field. The following is a simplified solenoid:

Toroid

A toroid is a helical structure with a hole in the middle that is round. The axis, which takes the shape of a solid body, can also make a rotation through a hole. A rectangle rotates along an axis parallel to one of its edges to ensure that it does not cross with the surface, such as while discussing an example. The hollow rectangle section ring is made, and if the rotated figure ends up looking like a circle, the object is referred to as a torus.

A toroid’s exterior and internal magnetic fields are both zero. The magnetic field inside a toroid constantly rotates in a clockwise manner. Toroid is commonly described as a solenoid-like structure which can be bent into a circular form and looped back on itself in various studies. The toroid contains a hollow circular ring with many turns of coated wire that can be tightly twisted with little gap between any two turns, resulting in a magnetic field which is zero both inside and outside. A toroidal polyhedron can alternatively be described using the term toroid. In some situations, a toroid does not have to be circular and might have several holes.

Formula of solenoid and toroid

The magnetic field is formed outside of the solenoid, but it is contained within the toroid. The magnetic field inside the solenoid is uniform, but the field inside the toroid is non-uniform.

In a solenoid, the magnetic field is 0nI, whereas in a toroid, it is μNI2πr.

Magnetic Field Due to Solenoid and Toroid

When a charge is sufficiently lethargic and idle, it is surrounded by an electric field. Since it is an electric charge, this makes sense to you. Whenever the charge becomes agitated and begins to race about, it produces a magnetic field. A solenoid makes use of the concept of electromagnetic.

Amperian Loop to Determine the Magnetic Field

Integrate across each side of an Amperian loop with sides abcd.dl is perpendicular to the field in bc and da. The field is zero across cd. The field component is 0 along transverse sections bc and ad. As a result, these two sections have no value. Let B be the field along ab. As a consequence, L=h is the appropriate length of the Amperian loop.

If n is the number of turns per unit length, the total number of turns is  le=I(nh) denotes the enclosed current, where I is the solenoid current.

BL=0Ie ,Bh=0I(nh)

B=0nI

The right-hand rule determines the field’s direction. A solenoid is a device which is widely used to create a consistent magnetic field.

A long solenoid

The term “long solenoid” refers to a solenoid with a longer length than the radius. It is made out of a long wire twisted in the shape of a helix with closely spaced adjacent turns. As a consequence, each turn can be conceived of as a circular loop. The turns are isolated from each other by using enamel wires for winding.

The magnetic field within a long solenoid is

B=μ0nI

Here n is the number of turns per unit length of the solenoid and I is the current flowing through it. 

At one end of the long solenoid, the magnetic field is as follows:

B=(μ0nI2)

Similarities between Solenoid and Toroid

They both operate solely on the basis of electromagnetism.

Whenever current travels across them, they can act like electromagnets.

The magnetic fields of the Toroid and Solenoid are frequently the same.

Things to Remember

Solenoid and Toroid are magnetic field-producing devices that use the magnetic effect of electricity.

A solenoid generates a magnetic field by winding a coil into a closely packed helix.

The vector sum of the individual magnetic fields of each current carrying loop produces the net magnetic field in a solenoid.

A toroid is a helical arrangement with a hole in the middle which is round in shape.

A toroid’s exterior and internal magnetic fields are both zero.

Conclusion

Solenoid and Toroid are magnetic field-producing devices which rely on electricity’s magnetic effect. Its primary advantage over traditional magnets is that the magnetic intensity may be varied by varying the amount of electric current running through them. The solenoid is a wire coil which acts as an electromagnet whenever electricity is applied to it. Magnetic solenoids are employed in a wide range of applications all around the world. A toroid is a hollow circular ring in the shape of a doughnut with multiple turns of enamel wire coiled so close together that there is no space between them. A toroid can be conceived of as a circular solenoid used as an inductor in an electric circuit if high inductances are required at low frequencies.