Sign In

To calculate the inductance of a solid cylindrical conductor, consider a 1-meter section of a non-magnetic, current-carrying conductor with radius r. Disregarding end effects and assuming uniform current density, Ampere's law helps determine the magnetic field inside the conductor. This law states that the magnetic field intensity H is concentric and constant within the conductor.

Given the uniform current distribution, the magnetic field Hx and flux density Bx inside the conductor are calculated. The differential flux per unit length inside the conductor is then computed, leading to the total internal flux linkages, which derive the internal inductance per unit length.

Equation1

To determine the magnetic field outside the conductor, Ampere's law is applied to a contour enclosing the entire current. This helps calculate the magnetic flux density and the differential flux outside the conductor. Integrating these values between two external points provides the external flux linkages and the resulting external inductance per unit length.

Equation2

The total inductance at an external point is the sum of the internal and external flux linkages. This comprehensive approach ensures an accurate determination of total inductance.

Equation3

When considering an array of cylindrical conductors, each carrying a current such that the total current equals zero, the flux linkage is calculated by summing the contributions from each conductor. This ensures the accurate calculation of inductance for complex conductor configurations, which is essential for optimizing the performance and efficiency of electrical systems. This method combines internal and external inductance to provide a complete understanding of the inductance in practical applications.

Tags

InductanceSolid Cylindrical ConductorMagnetic FieldCurrent DensityAmpere s LawFlux DensityInternal InductanceExternal InductanceFlux LinkagesElectrical SystemsCurrent carrying ConductorMagnetic Flux

From Chapter 27:

article

Now Playing

27.3 : Inductance: Solid Cylindrical Conductor

Transmission Line Parameters

153 Views

article

27.1 : Transmission Line Design Considerations

Transmission Line Parameters

99 Views

article

27.2 : Resistance and Conductance

Transmission Line Parameters

59 Views

article

27.4 : Inductance: Single-Phase And Three-Phase Line

Transmission Line Parameters

120 Views

article

27.5 : Series Impedances: Three-Phase Line

Transmission Line Parameters

79 Views

article

27.6 : Capacitance: Single-Phase And Three-Phase Line

Transmission Line Parameters

112 Views

article

27.7 : Shunt Admittances

Transmission Line Parameters

87 Views

JoVE Logo

Privacy

Terms of Use

Policies

Research

Education

ABOUT JoVE

Copyright © 2025 MyJoVE Corporation. All rights reserved