登录

A solenoid is a conducting wire coated with an insulating material, wound tightly in the form of a helical coil. The magnetic field due to a solenoid is the vector sum of the magnetic fields due to its individual turns. Therefore, for an ideal solenoid, the magnetic field within the solenoid is directly proportional to the number of turns per unit length and the current. Conversely, the magnetic field outside the solenoid is zero.

Consider a solenoid with 100 turns wrapped around a cylinder of diameter 1 cm and length 10 cm. What is the magnitude of the magnetic field inside and outside the solenoid when a current of 0.5 A is passed through it?

Here, since the number of turns, solenoid length, and current are known quantities, the magnetic field inside and outside the solenoid can be estimated using Ampere's Law.

Since the length is much greater than the diameter, it can be considered an ideal solenoid. Hence, the magnetic field outside it is zero.

The magnetic field inside the solenoid is expressed as the product of vacuum permeability, the number of turns per unit length, and the current. The number of turns per unit length is given by the total number of turns divided by the solenoid length and is calculated to be 1,000 turns/m. Using the values of number of turns per unit length and current, the magnetic field inside the solenoid is estimated as 6.29 x 10-4 T.

Tags
SolenoidMagnetic FieldHelical CoilTurns Per Unit LengthCurrentAmpere s LawVacuum PermeabilityIdeal SolenoidInternal Magnetic FieldExternal Magnetic FieldMagnetic Field Magnitude

来自章节 29:

article

Now Playing

29.12 : Magnetic Field of a Solenoid

Sources of Magnetic Fields

3.5K Views

article

29.1 : 移动电荷引起的磁场

Sources of Magnetic Fields

8.0K Views

article

29.2 : Biot-Savart 定律

Sources of Magnetic Fields

5.5K Views

article

29.3 : Biot-Savart 定律:解决问题

Sources of Magnetic Fields

2.2K Views

article

29.4 : 细直线产生的磁场

Sources of Magnetic Fields

4.5K Views

article

29.5 : 两条直线产生的磁场

Sources of Magnetic Fields

2.2K Views

article

29.6 : 两个并联电流之间的磁力

Sources of Magnetic Fields

3.3K Views

article

29.7 : 电流回路的磁场

Sources of Magnetic Fields

4.1K Views

article

29.8 : 磁场的发散和卷曲

Sources of Magnetic Fields

2.6K Views

article

29.9 : 安培定律

Sources of Magnetic Fields

3.5K Views

article

29.10 : 安培定律:解决问题

Sources of Magnetic Fields

3.4K Views

article

29.11 : 螺线管

Sources of Magnetic Fields

2.4K Views

article

29.13 : 环形线圈

Sources of Magnetic Fields

2.7K Views

article

29.14 : 磁矢量电位

Sources of Magnetic Fields

445 Views

article

29.15 : 磁化物体引起的电位

Sources of Magnetic Fields

227 Views

See More

JoVE Logo

政策

使用条款

隐私

科研

教育

关于 JoVE

版权所属 © 2025 MyJoVE 公司版权所有,本公司不涉及任何医疗业务和医疗服务。