How to Calculate Maximum Induced EMF in a Rotating Coil Gaussmeter

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SUMMARY

The maximum induced electromotive force (emf) in a rotating coil Gaussmeter can be calculated using the formula e = ωnBA, where ω is the angular frequency in radians per second, n is the number of turns (400), B is the magnetic field strength (0.45 T), and A is the area of the coil (1.4 cm²). The coil rotates at 180 rpm, which must be converted to radians per second for accurate calculations. The maximum induced emf occurs when the coil is oriented perpendicular to the magnetic field.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with angular frequency conversion
  • Knowledge of the formula for induced emf in rotating coils
  • Basic skills in unit conversion (rpm to rad/s)
NEXT STEPS
  • Learn how to convert rpm to radians per second for angular frequency
  • Study the principles of electromagnetic induction in detail
  • Explore the applications of Gaussmeters in measuring magnetic fields
  • Investigate the effects of coil orientation on induced emf
USEFUL FOR

Physics students, electrical engineers, and professionals involved in electromagnetic applications will benefit from this discussion, particularly those interested in the design and operation of Gaussmeters.

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Gaussmeter calculation

This device used a small loop of many turns rotating on an axis perpendicular to the magnetic field at fairly high speed and connected to an ac voltmeter by means of slip rings. The sensing coil for a rotating coil gaussmeter has 400 turns and an area of 1.4 cm2. The coil rotates at 180 rpm. If the magnetic field strength is 0.45 T,
find the maximum induced emf in the coil and the orientation of the coil relative to the field for which this maximum induced emf occurs.

Anyone know how to do this one? And more importantly why does it say 180rpm but also give me a value for n (400turns)
 
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This device used a small loop of many turns rotating on an axis perpendicular to the magnetic field at fairly high speed and connected to an ac voltmeter by means of slip rings. The sensing coil for a rotating coil gaussmeter has 400 turns and an area of 1.4 cm2. The coil rotates at 180 rpm. If the magnetic field strength is 0.45 T,
find the maximum induced emf in the coil and the orientation of the coil relative to the field for which this maximum induced emf occurs.

Anyone know how to do this one? And more importantly why does it say 180rpm but also give me a value for n (400turns). I don't even know how to start it
 
gaussmeter

the maximum value of the induced emf is given by a simple relation e=wnba, where w is the angular frequency (rpm but in rad/s units), n is the number of turns of the coil, b is tha magnetic field intensity and a is the area of the coil face.
ba represents the maximum magnetic flux through each turn of the coil, nba is the total maximum flux, and wnba is the maximum rate of change of this flux which is the maximum induced emf !
 

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