Net current in a solenoid or torroid

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SUMMARY

The net current in a toroid or solenoid is calculated as 'n.i', where 'n' represents the number of loops and 'i' is the current through each loop. This formula arises because the total current crossing a defined surface is the sum of the currents from each loop, leading to a multiplication of the individual current by the number of loops. Unlike a straight conducting wire, where the net current is simply 'i', the geometry of the toroid or solenoid necessitates this adjustment to account for multiple paths of current flow. Understanding this concept is crucial for analyzing electromagnetic fields in these configurations.

PREREQUISITES
  • Understanding of basic electrical concepts, including current and charge.
  • Familiarity with the principles of electromagnetism, particularly in relation to coils.
  • Knowledge of toroidal and solenoidal geometries in physics.
  • Basic mathematical skills for manipulating equations involving current and loops.
NEXT STEPS
  • Study the Biot-Savart Law for calculating magnetic fields in toroids and solenoids.
  • Explore Faraday's Law of Electromagnetic Induction and its applications in coils.
  • Learn about the role of inductance in solenoids and toroids.
  • Investigate the differences in current flow between straight wires and coiled conductors.
USEFUL FOR

Physics students, electrical engineers, and anyone interested in understanding the behavior of currents in electromagnetic devices such as inductors and transformers.

paulina
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The notion of multiplying the current in each loop in a toroid or solenoid with the total number of loops in order to find out the net current in the toroid or solenoid is appearing a bit confusing.
Why do we do this when we know the same current is flowing through each loop (just like water flowing in a pipe)?
When the wire is a straight conducting wire we take the net current as ' i ' but in toroid or solenoid it is
' n.i ' where n is the number of turns of the coil. What is the cause for this?
 
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Current is the amount of charge that flows across a defined surface in a unit time. Generally, you take the surface to be the cross section of the wire, but you can choose a different surfsce. Sometimes, the surface of interest is one crossed by n wires each carrying a current of I. The charge crossing such a surface in a unit time is nI, so the current through that surface is n times the current through the wire.
 
DaleSpam said:
.
thanks for the explanation...
 

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