Magnetic field strength at point P around a solenoid

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SUMMARY

The discussion focuses on calculating the magnetic field strength at a point P located outside a solenoid defined by its length L, number of turns N, current I, and radius R. Eric emphasizes the necessity of using the Biot-Savart law for precise calculations, as Ampere's law is inadequate for this scenario. The solenoid is assumed to have no iron core, and the calculations must be performed using a numeric or computer-based approach to achieve high precision.

PREREQUISITES
  • Understanding of Biot-Savart law
  • Familiarity with solenoid parameters (length L, number of turns N, current I, radius R)
  • Knowledge of coordinate systems (specifically Cartesian coordinates)
  • Experience with numeric computation techniques
NEXT STEPS
  • Research the application of the Biot-Savart law in magnetic field calculations
  • Explore numeric methods for solving electromagnetic problems
  • Learn about high precision data formats for scientific computing
  • Investigate the limitations of Ampere's law in non-uniform magnetic fields
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism who need to calculate magnetic fields around solenoids in practical applications.

ealbers
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I have a solenoid, Length L, number of turns N, ampers I Radius R

I have a Point P(x,y,z) anywhere around said solenoid.

How can I calculate the field strength at point P, note it is OUTSIDE the solenoid, and could be anywhere outside. Assume the origin is the center of the solenoid, let's assume the axis of the solenoid is along the X axis, -L/2 to +L/2

Thanks!
Eric
 
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ealbers said:
How can I calculate the field strength at point P
I assume that the solenoid has no (iron)core:
You must use a numeric/computer calculation, using Biot-Savart. This calculation should be exact, with a high precision data format.
You cannot use Amperes law, because here the mean strength along a circulation path is calculated.
 

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