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What is the value of magnetic field outside of a long current carrying solenoid?

Author

Andrew Vasquez

Updated on February 16, 2026

What is the value of magnetic field outside of a long current carrying solenoid?

By Ampère's law, we know that the line integral of B (the magnetic field vector) around this loop is zero, since it encloses no electrical currents (it can be also assumed that the circuital electric field passing through the loop is constant under such conditions: a constant or constantly changing current through the

Also, what is the magnetic field outside a solenoid?

The magnetic field lines exist outside the solenoid, but the number of field lines per unit area outside the solenoid is much less compared to the number of lines per unit area inside the solenoid. Hence the magnetic field outside is so feeble that it is considered to be practically zero.

Also Know, why is B zero outside a solenoid? Because although the magnetic field is stronger inside the solenoid (because the shape of the solenoid reinforces it) the current flowing through the coil generates a magnetic field outside too and it is not cancelled completely, thus B is non-zero outside the solenoid.

Also to know, is the magnetic field outside a solenoid zero?

Magnetic field outside a long solenoid can never be zero. Because a solenoid of finite length will have edges and field will come out. However, if we imagine a straigth solenoid of infonite length or a toroid, it will not have edges from where lines of force can come out.

Does the magnetic field outside solenoid depend on the distance from the solenoid?

The magnetic field inside the solenoid does not depend on the diameter of the solenoid. The magnetic field only depends on the current running through the solenoid and the number of turns per unit length.

Why is the magnetic field inside a solenoid stronger than outside?

Current in solenoid produces astronger magnetic field inside thesolenoid than outside. The field lines in this region are parallel and closely spaced showing the field is highly uniform in strength and direction. Strength of the magnetic field can be increased by: increasing the current in the coil.

Why magnetic field is half at the end of solenoid?

It becomes half because the magnetic field strength on the axis going right through the solenoid, in the place on the end of the solenoid is then the field of an infinitely long solenoid minus half of it because half is missing, and so the field strength is half as big on the ends (but right in the middle).

Why is there no magnetic field outside a toroid?

It is non zero only inside the core of a toroid. Now, the current that flows at outer circumference and inner circumference of toroid are in opposite direction to each other. Therefore, current enclosed by Amperian loop is zero. Thus, magnetic field outside the toroid is zero.

How can you show that there is a field around a solenoid?

Magnetic field of a solenoid
We see this by applying the right hand grip rule for the field around a wire. If we wrap our right hand around a wire with the thumb pointing in the direction of the current, the curl of the fingers shows how the field behaves.

What is the direction of the magnetic field inside the solenoid?

Right-hand rule can be used to find the direction of the magnetic field. In this case, point the wrapped fingers (along the coil) in the direction of the conventional current. Then, the thumb will point to the direction of magnetic field within the solenoid.

Is the magnetic field inside a solenoid uniform?

Magnetic Field of a Solenoid. A solenoid is a tightly wound helical coil of wire whose diameter is small compared to its length. The magnetic field generated in the centre, or core, of a current carrying solenoid is essentially uniform, and is directed along the axis of the solenoid.

What is the value of magnetic field inside a solenoid?

Solenoid. A long straight coil of wire can be used to generate a nearly uniform magnetic field similar to that of a bar magnet. In the above expression for the magnetic field B, n = N/L is the number of turns per unit length, sometimes called the "turns density".

Why is the magnetic field inside a solenoid stronger than the magnetic field outside quizlet?

The magnetic field is increased because of the coils of wire. The field inside the solenoid is strong and uniform. Outside the solenoid, the field looks like a bar magnet. The force gets stronger if the magnetic field or current increase.

What happens to the magnetic field when the current through the solenoid is reversed?

Answer: The magnetic field generated is always perpendicular to the direction of the current and parallel to the solonoid. Hence if we reverse the current the direction of magnetism also reverses. In other words the magnetic poles gets reversed (North pole becomes south pole and the south pole becomes the north pole).

Why magnetic field is strong inside the solenoid?

The field inside a solenoid is strong and uniform. The small magnetic fields caused by the current in each turn of the coil add together to make a stronger overall magnetic field.

What are the patterns of magnetic field lines inside and outside of a solenoid?

1. The pattern of the field is similar to magnetic field around a bar magnet. One end of the solenoid behaves as a magnetic north pole, while the other behaves as the south pole. The field lines inside the solenoid are in the form of parallel straight lines.

Why can a solenoid be used as a switch?

The device creates a magnetic field from electric current and uses the magnetic field to create linear motion. Common applications of solenoids are to power a switch, like the starter in an automobile, or a valve, such as in a sprinkler system.

What is ideal solenoid?

Page 1. Magnetic Field Outside an Ideal Solenoid—C.E. Mungan, Spring 2001. It is well known that the longitudinal magnetic field outside an ideal solenoid (i.e., one that is wound infinitely tightly and that is infinitely long) is zero.

What is the function of solenoid?

Functions of solenoid. A solenoid is a set of coiled wire which acts as an electromagnet when current is passed through it. It converts electrical energy directly into linear mechanical motion. Since coiled wire has a large application, people often assume solenoid to be an electromagnet.

How much force can a solenoid generate?

A linear solenoid can provide up to 30 pounds of force from a unit less than 2-1⁄4 inches long. A rotary solenoid can provide well over 100 lb-in of torque from a unit also less than 2-1⁄4 inches long.

How do you calculate the force of a solenoid?

To calculate Solenoid Coil Electromagnetic Force:
F = Force, i = Current, g = Length of the gap between the solenoid and a piece of metal, a = Area n = Number of turns, Magnetic constant = 4 x PI x 10-7.

How do you calculate the magnetic force of a solenoid?

Where, F = force, i = current, g = length of the gap between the solenoid and a piece of metal, a = Area, n = number of turns in the solenoid, and the magnetic constant = 4 x PI x 10-7.

How do you calculate the electromagnetic field?

A current-carrying wire feels a force in the presence of an external magnetic field. It is found to be F=Bilsinθ F = Bi l sin θ , where ℓ is the length of the wire, i is the current, and θ is the angle between the current direction and the magnetic field.

What is the difference between a solenoid and toroid?

The main difference between solenoid and toroid is that the solenoid is considered as the straight coil and the toroid is the bent solenoid which is having ring or doughnut shape.In toroid due to the ring shape the magnetic field is much stronger than solenoid at its center.

What is the direction of field lines in the inner side of a solenoid?

The field lines inside the solenoid are in the form of parallel straight lines. This indicates that the magnetic field is the same at all points inside the solenoid. That is, the field is uniform inside the solenoid.

What is the coiled wire called when each end is connected to a power supply such as a battery?

Electrons traveling through a wire, create a weak magnetic field around the wire. Electrons traveling through wire, coiled around an iron nail cause the nail to become a magnet. This device is called an electromagnet. The elastic band holds each end of the wire against the battery terminals.

What is magnetic field formula?

The equation for the magnetic field strength (magnitude) produced by a long straight current-carrying wire is: B=μ0I2πr.

Which among the following qualities is not affected by the magnetic field?

Which, among the following qualities, is not affected by the magnetic field? Explanation: A stationary charge is not affected by a magnetic field because stationary charges do not have any velocity. Magnetic field cannot occur in a particle having zero velocity. Explanation: Force is a cross product.

When were solenoids invented?

The history of Solenoid(Electromagnets) In 1820, the Danish company oster discovered this principle.In 1822, the French physicists arago and lussac discovered that when the current passed through a wire with a piece of iron, it could magnetize the iron in the winding.

What is the strength of magnetic field known as?

Magnetic field strength is one of two ways that the intensity of a magnetic field can be expressed. Technically, a distinction is made between magnetic field strength H, measured in amperes per meter (A/m), and magnetic flux density B, measured in Newton-meters per ampere (Nm/A), also called teslas (T).