Calculating speed needed to create motional EMF of given magnitude

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SUMMARY

To create a 3.0 V motional electromotive force (emf) along a 1.2 m-long radio antenna, the required speed can be calculated using the formula EMF = v * l * B, where v is the velocity, l is the length of the antenna, and B is the magnetic field strength. The discussion highlights the importance of understanding the relationship between emf, velocity, and magnetic field. The user initially struggled with the concepts but ultimately recognized the direct application of the formula to determine the necessary speed.

PREREQUISITES
  • Understanding of electromotive force (emf) concepts
  • Familiarity with the formula EMF = v * l * B
  • Basic knowledge of magnetic fields and their properties
  • Ability to manipulate algebraic equations for solving for variables
NEXT STEPS
  • Research the calculation of magnetic field strength (B) in various contexts
  • Learn about the principles of motional emf in physics
  • Explore practical applications of emf in electrical engineering
  • Study the relationship between velocity, length, and emf in different scenarios
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the principles of electromagnetism and their applications in real-world scenarios.

Linus Pauling
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1. How fast would you have to drive your car to create a 3.0 V motional emf along your 1.2 m-long radio antenna? Assume that the motion of the antenna is perpendicular to B.



2. d(phi)/dt = EMF
dphi = B*A
v = dx/dt



3. I'm really not sure here. I think the length of the antenna will be dx, but I don't see how I'd get dt so solve for velocity. In a previous problem, worked out a minimum speed needed to create an EMF by using dphi = B*A = EMF*dt. But here I don't know B or A...
 
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Nevermind, I just overlooked the simple EMF = vlB relationship.
 

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