How Is Ampere's Law Applied to Calculate Magnetic Fields?

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SUMMARY

Ampere's Law is not applicable for calculating the magnetic field of a 3.5 cm straight conductor carrying a current of 1.8 A. Instead, the Biot-Savart Law should be utilized for this scenario. The problem statement lacks clarity regarding whether the conductor is a long wire or if the point of interest is at a distance of 3.5 cm from the wire. Understanding these distinctions is crucial for accurate magnetic field calculations.

PREREQUISITES
  • Understanding of Ampere's Law
  • Familiarity with the Biot-Savart Law
  • Basic knowledge of magnetic fields and current-carrying conductors
  • Ability to interpret physics problem statements
NEXT STEPS
  • Study the Biot-Savart Law for calculating magnetic fields
  • Review Ampere's Law and its limitations in specific scenarios
  • Explore practical examples of magnetic field calculations involving straight conductors
  • Investigate the significance of conductor length in magnetic field problems
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone seeking to understand the application of Ampere's Law and the Biot-Savart Law in magnetic field calculations.

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Homework Statement
What is the magnitude of a magnetic field from a 3.5 cm straight conductor with a current of 1.8 A?
Relevant Equations
∫B.dl = μ0I
(I accidentally missed my lesson and I don't know how to apply this question to the formula)
 
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Welcome to PF.

Even if you missed the lesson, you need to show some effort before we can offer tutorial help. What have you found in your searching so far? Have you looked this up on Hyperphysics? Have you read over the lesson notes? Which textbook are you using?
 
berkeman said:
Welcome to PF.

Even if you missed the lesson, you need to show some effort before we can offer tutorial help. What have you found in your searching so far? Have you looked this up on Hyperphysics? Have you read over the lesson notes? Which textbook are you using?
I got some help, thanks though.
 
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This Is Me said:
I got some help, thanks though.
I cannot imagine what kind of help you got. The statement of the problem is
This Is Me said:
Homework Statement:: What is the magnitude of a magnetic field from a 3.5 cm straight conductor with a current of 1.8 A?
To me, it says that you have a conductor, most likely a wire, that is 3.5 cm long which carries a current of 1.8 A. In that case, Ampere's law is not applicable and you have to (a) use the law of Biot-Savart and (b) know where in space the magnitude of the field is to be calculated. Another interpretation could be that the conductor is a very long wire (not explicitly mentioned in the statement) and the point of interest is at a distance of 3.5 cm from it (also not explicitly stated).
 
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