telegrapher's equations
E102894
The telegrapher's equations are a pair of linear differential equations that model voltage and current propagation along electrical transmission lines, fundamental to understanding signal behavior in telecommunication and power systems.
All labels observed (1)
| Label | Occurrences |
|---|---|
| telegrapher's equations canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T880725 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: telegrapher's equations Context triple: [Oliver Heaviside, knownFor, telegrapher's equations]
-
A.
Maxwell's equations
Maxwell's equations are the fundamental set of four equations in classical electromagnetism that describe how electric and magnetic fields are generated and interact with charges and currents.
-
B.
Kennelly–Heaviside layer theory
Kennelly–Heaviside layer theory is an early 20th-century scientific model proposing the existence of a conductive layer in the upper atmosphere that reflects radio waves, helping to explain long-distance radio communication.
-
C.
Fresnel equations
The Fresnel equations are fundamental formulas in optics that describe how light is partially reflected and transmitted at the boundary between two media with different refractive indices, depending on polarization and angle of incidence.
-
D.
Kirchhoff's circuit laws
Kirchhoff's circuit laws are fundamental rules in electrical engineering that describe how electric charge and energy are conserved in electrical circuits through relationships among currents and voltages.
-
E.
Poynting vector
The Poynting vector is a fundamental quantity in electromagnetism that represents the directional energy flux (power per unit area) carried by an electromagnetic field.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: telegrapher's equations Target entity description: The telegrapher's equations are a pair of linear differential equations that model voltage and current propagation along electrical transmission lines, fundamental to understanding signal behavior in telecommunication and power systems.
-
A.
Maxwell's equations
Maxwell's equations are the fundamental set of four equations in classical electromagnetism that describe how electric and magnetic fields are generated and interact with charges and currents.
-
B.
Kennelly–Heaviside layer theory
Kennelly–Heaviside layer theory is an early 20th-century scientific model proposing the existence of a conductive layer in the upper atmosphere that reflects radio waves, helping to explain long-distance radio communication.
-
C.
Fresnel equations
The Fresnel equations are fundamental formulas in optics that describe how light is partially reflected and transmitted at the boundary between two media with different refractive indices, depending on polarization and angle of incidence.
-
D.
Kirchhoff's circuit laws
Kirchhoff's circuit laws are fundamental rules in electrical engineering that describe how electric charge and energy are conserved in electrical circuits through relationships among currents and voltages.
-
E.
Poynting vector
The Poynting vector is a fundamental quantity in electromagnetism that represents the directional energy flux (power per unit area) carried by an electromagnetic field.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
electrical engineering concept
ⓘ
mathematical model ⓘ system of partial differential equations ⓘ |
| appliesTo |
coaxial cables
ⓘ
electrical transmission lines ⓘ power transmission lines ⓘ telecommunication cables ⓘ twisted pair cables ⓘ waveguides (under suitable approximations) ⓘ |
| assumes | uniform transmission line parameters per unit length ⓘ |
| basedOn | Maxwell's equations ⓘ |
| describes |
attenuation of signals on a line
ⓘ
characteristic impedance of a line ⓘ current as a function of position and time ⓘ distortion of signals on a line ⓘ phase shift of signals on a line ⓘ propagation constant of a line ⓘ reflections on transmission lines ⓘ signal propagation along a line ⓘ standing waves on transmission lines ⓘ voltage as a function of position and time ⓘ |
| equationForm |
∂I/∂x = -GV - C ∂V/∂t
ⓘ
∂V/∂x = -RI - L ∂I/∂t ⓘ |
| field |
applied mathematics
ⓘ
electrical engineering ⓘ power engineering ⓘ telecommunications engineering ⓘ |
| historicalOrigin | developed in the 19th century for telegraph lines ⓘ |
| includesParameter |
series inductance per unit length L
ⓘ
series resistance per unit length R ⓘ shunt capacitance per unit length C ⓘ shunt conductance per unit length G ⓘ |
| models |
current propagation on transmission lines
ⓘ
distributed-parameter transmission lines ⓘ voltage propagation on transmission lines ⓘ |
| namedAfter | telegraph engineers (telegraphers) who worked on long-distance lines ⓘ |
| relatedConcept |
characteristic impedance
ⓘ
distributed circuit model ⓘ propagation constant ⓘ reflection coefficient ⓘ standing wave ratio ⓘ |
| specialCase |
distortionless line condition when R/L = G/C
ⓘ
lossless line equations when R = 0 and G = 0 ⓘ |
| usedFor |
design of transmission lines
ⓘ
impedance matching analysis ⓘ modeling of long cables in communication systems ⓘ power system transient analysis ⓘ signal integrity analysis in high-speed circuits ⓘ time-domain reflectometry modeling ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: telegrapher's equations Description of subject: The telegrapher's equations are a pair of linear differential equations that model voltage and current propagation along electrical transmission lines, fundamental to understanding signal behavior in telecommunication and power systems.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.