I just need to work re-checked, current in solenoid

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SUMMARY

The discussion focuses on calculating the net magnetic field at a radial distance of 0.91 cm from a straight wire carrying a current of 31 A, situated within a solenoid with 22 turns per centimeter and a current of 0.50 A. The magnetic field is computed using the formula B = square root (Bw² + Bs²), where Bw is the magnetic field due to the wire and Bs is the magnetic field due to the solenoid. The final calculated value of the net magnetic field is confirmed to be 1.54 mT, indicating the setup and calculations were performed correctly.

PREREQUISITES
  • Understanding of Ampère's Law
  • Familiarity with magnetic fields generated by current-carrying conductors
  • Knowledge of solenoid properties and calculations
  • Proficiency in using the permeability of free space (μo) in magnetic field equations
NEXT STEPS
  • Study the derivation of Ampère's Law for solenoids and straight wires
  • Learn about the superposition principle in magnetic fields
  • Explore the effects of varying current on magnetic field strength in solenoids
  • Investigate applications of magnetic fields in electromagnetic devices
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This discussion is beneficial for physics students, electrical engineers, and anyone involved in electromagnetic theory or applications, particularly those working with solenoids and current-carrying conductors.

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Here's the problem I am solving:

The current in a solenoid with 22 turns per centimeter is 0.50 A. The solenoid has a radius of 1.5 cm. A long, straight wire runs along the axis of the solenoid, carrying a current of 31 A. Find the magnitude of the net magnetic field a radial distance of 0.91 cm from the straight wire.

What I did was:

B = square root (Bw² + Bs²)
= square root [(μoIw/2πr)² + (μonIs)²]
= μo x square root [(Iw²/4π²r²) + (n²Is²)]
= (4π x 10^-7 Tm/A) x square root[(31A²/4π²(0.0091m)²) + (22cm^-1)²(100cm/1m)²(0.50A)²]

Can I get a confirmation that the answer is 1.54 mT? Thanks.
 
Last edited:
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It looks like you set it up correctly. What did you get for the contribution of each component (wire and solenoid)?
 

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