The magnetic field outside a solenoid is relatively zero compared to the inside volume of the solenoid. This is due to Maxwell’s equations by Abbot and Griffiths, American, which show that the number of field lines per unit area (flux) outside the solenoid is much less compared to the number of lines per unit. A perfect solenoid would have a uniform magnetic field on the inside and zero magnetic field on the outside.
Ampere’s Law gives us the form: ∮ B → • d l → = μ 0 ∑ I i n s i. Along segment 3, (vec(B) = 0) because the magnetic field is zero outside the solenoid. This is because the current flows in opposite directions on different segments of wire. Most Physics courses give a weak explanation for why the magnetic field outside of an infinite solenoid is zero.
The magnetic field outside a solenoid is zero because the fields generated by each coiling on the diametrally opposed points of a spire cancel each other on the outside of the solenoid, causing the field to go. The field on the outside is zero because the solenoid is infinite and magnetic lines reach zero density, as their flux has to be conserved.
Solenoids convert electrical energy into mechanical work through electromagnetic forces. They are often used as valves to actuate push or pull forces on a magnetic component in a device or as switches in electromechanical devices. For a very long solenoid, the magnetic field outside will be zero and magnetic will be present only inside the solenoid.
In conclusion, the magnetic field outside a solenoid is practically zero due to the cancellation of magnetic fields from opposite currents and the decrease in density of the solenoid.
📹 Why is the magnetic field outside of a solenoid zero?
I use Ampere’s law along with a physical argument to demonstrate that the magnetic field outside of a solenoid is zero.
Is the magnetic field inside a solenoid zero or uniform?
A solenoid is an electromagnet formed by tightly packed helix-shaped wire coils. Each turn forms a circular loop, and if the solenoid is carrying a current, a magnetic field is generated. The direction of the magnetic field can be determined using the right-hand thumb rule. The magnetic field lines in a solenoid are straight lines, resulting in a strong field. On the other hand, outside the solenoid, the field is weak and the lines curl up to form closed loops. This results in a uniform magnetic field inside the solenoid. The magnetic field can also be calculated using Ampere’s circuital law, where $B = mathop mu nolimitscirc nI$, where $B$ is the magnetic field, $mu nolimitscirc$ is the permeability of the free space, $n$ is the number of turns, and $I$ is the current flowing through the solenoid. The right-hand thumb rule can be applied directly in different situations, such as when pointing a finger in the direction of the current flow.
What is a zero magnetic field?
A neutral point is defined as an area where the magnetic field produced by a magnet is zero. This occurs due to the neutralization of another equal and opposite magnetic field, which represents a horizontal component of Earth’s magnetic field.
Why is b outside solenoid 0?
Magnetic field lines exist outside a solenoid, but the number of lines per unit area (flux) outside is significantly less than inside the solenoid. This results in a weak magnetic field, making it practically zero. For long solenoids, the magnetic field outside the solenoid is more true, while near the solenoid’s edge, it is not. For practical purposes, the magnetic field outside the solenoid is considered zero.
Why magnetic field is non-zero outside the solenoid?
The magnetic field strength within a solenoid is augmented due to its shape, yet the current flowing through the coil also generates a magnetic field outside the solenoid, resulting in a non-zero magnetic field B.
How is the magnetic field inside solenoid different from outside?
A solenoid is characterised by a robust and consistent electromagnetic field, which is the result of the cumulative effect of the magnetic fields generated by each individual coil. The field is more powerful than that of a single straight wire, rendering it an appropriate means of remote control for door locks and electric bells. The external field is less intense as a result of the cancellation of the minor magnetic fields generated by each wire.
Why is the magnetic field outside a toroid zero?
The magnetic field of a toroid is confined to its inside body, forming concentric magnetic lines of force. Any point in the empty space surrounded by a toroid has a magnetic field equal to zero, as the net current in this space is zero. The magnetic field of a current-carrying toroid is independent of the radius, as it is given as B = μ o nI, where n is the number of turns, I is the electric current, and μ o is the permeability. Lenz’s law states that the direction of induced current in a given magnetic field opposes the induced change due to a change in the magnetic field.
Is magnetic field zero outside a solenoid?
The magnetic field at a point in close proximity to the center of a solenoid, yet situated outside of the region within which the solenoid is conducting current, is observed to be zero.
Where is the magnetic field zero?
A neutral point is defined as an area where the magnetic field produced by a magnet is zero. This occurs due to the neutralization of the magnetic field by another equal and opposite field.
Why is the magnetic field in a solenoid uniform?
The iron filings within a solenoid are compressed together along its length, resulting in a uniform magnetic field due to the equal compression from all sides throughout the solenoid.
What is the magnetic field outside a current carrying solenoid?
The magnetic field line inside a solenoid is a straight line, resulting in a uniform magnetic field along its length. The strength of the magnetic field increases with the number of loops, while the distance from the current-carrying conductor and the magnetic field are inversely proportional. As the conductors diverge, the strength of the magnetic field decreases. The magnetic field outside the solenoid is zero. The DSSSB J E Tier 2 Result for the Junior Engineer (Electrical) post was released on March 4, 2024.
📹 Ampere’s Law & Magnetic Field of a Solenoid – Physics & Electromagnetism
This video on electromagnetism contains 1 practice problem explaining how to calculate the magnetic field of a solenoid given the …
Sorry, but sir you only show that the BLs are equal. However, there’s intuitive but no evidence that if the distance from the coil approaches infinity the BL of that side is zero, so we cannot make the argument that BLr=BLl=0. It draws me to the analogy that the E field at a point caused by an infinite big plate is not related to the distance between the point and the plate:imilarly, the object is big. Thank you, sir.
If the magnetic strength is always in relation to the number of turns per meter, then it seems like increasing the number of turns of wire would have no effect on the strength of the magnet. Assuming the diameter of the wire is unchanged and it can’t be coiled any tighter, then increasing the number of turns will increase the length proportionally and they will cancel out. In your example, N=1,500 and l is 5cm, so n=30,000, but if N doubles to 3,000, then l will also double to 10cm and n is still 30,000 and the magnetic force doesn’t change. How can this be right?