Undergrad Outright understanding L/R inductor time constant

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SUMMARY

The discussion focuses on the L/R inductor time constant in electrical circuits, emphasizing that the charging time of an inductor is independent of the applied voltage (E). It is established that while a higher resistance (R) results in a shorter charging time, the final current is proportionally larger, leading to a balance that keeps the time constant unaffected by voltage variations. This principle is supported by differential equations (DE) that describe the behavior of LR circuits.

PREREQUISITES
  • Understanding of LR circuits and their components
  • Familiarity with the concept of time constants in electrical engineering
  • Knowledge of differential equations (DE) related to circuit analysis
  • Basic principles of voltage and current relationships in circuits
NEXT STEPS
  • Study the mathematical derivation of the L/R time constant in electrical circuits
  • Learn about the effects of resistance on inductor charging using simulation tools like LTspice
  • Explore the applications of differential equations in circuit analysis
  • Investigate the impact of varying voltage sources on circuit behavior
USEFUL FOR

Electrical engineers, physics students, and anyone interested in understanding the dynamics of LR circuits and the implications of time constants in circuit design.

abdulbadii
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TL;DR
Scientifically understanding L/R inductor time constant r reciprocates it
How is the real understanding, when an external constant E potential (voltage) is imposed/applied on a LR circuit, that is being charged as the characteristic L/R inductor time constant: the greater R the shorter time inductor get (full) charged

This absolutely independent to the E; it could simply be so great while time constant (charge time) still being shorter time than that of far less E, as proven or inspected by the (DE) equation
 
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abdulbadii said:
Summary: Scientifically understanding L/R inductor time constant r reciprocates it

as proven or inspected by the (DE) equation
yes.
 
A larger voltage means that the current increases faster, but it also means that the final current is larger. The two effects balance out so the time required is independent of the voltage.
 

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