Relationship between magnetic field strength and voltage

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SUMMARY

The relationship between magnetic field strength and voltage is defined by Ampère's circuital law and Ohm's Law. According to Ampère's law, the magnetic field strength (B) is directly proportional to the current (I) flowing through the coil, which is determined by the voltage (V) applied across it and the resistance (R) of the coil. Therefore, increasing the voltage results in an increase in current, subsequently enhancing the magnetic field strength, provided other factors remain constant.

PREREQUISITES
  • Ampère's circuital law
  • Ohm's Law
  • Basic understanding of electromagnetic principles
  • Familiarity with electrical circuits
NEXT STEPS
  • Study the implications of Ampère's circuital law in electromagnetic applications
  • Explore the effects of varying resistance on current and magnetic field strength
  • Investigate the role of inductance in coils and its relationship with voltage
  • Learn about Faraday's law of electromagnetic induction and its applications
USEFUL FOR

Electrical engineers, physics students, and anyone interested in understanding the principles of electromagnetism and their practical applications in circuits.

Daisy
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So I'm really confused with the relationship between magnetic field strength and voltage. Say you have a battery (with a DC voltage) with 4 coils, when voltage increases, does magnetic field strength increase? Is there any law (i.e. Faraday's law) that supports this?
 
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The magnetic field strength is given by B=nIl where B is the magnetic field, n is the number of turns per metre of the wire of length l metres that makes up the coil and I is the current flowing through the coil.

The current flowing through the coil is given by Ohm's Law I=V/R where V is the potential difference in volts between the ends of the wire of the coil and R is the resistance of the coil.

So yes, if all else stays the same, increasing the voltage will increase the current which will increase the magnetic field.
 

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