Find the induced emf between the ends of the antenna

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SUMMARY

The discussion centers on calculating the induced electromotive force (emf) in a vertical radio antenna measuring 75 cm, moving westward at 23 m/s within the Earth's magnetic field of 5.9 x 10-5 T, directed 74° below the horizontal. The equation E = BvL was utilized, considering both vector components and scalar values. The participant initially encountered difficulties but ultimately resolved their misunderstanding regarding the calculation process, confirming the accuracy of their final answer.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the equation E = BvL
  • Knowledge of vector components in physics
  • Basic grasp of the Earth's magnetic field characteristics
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  • Study the principles of electromagnetic induction in depth
  • Learn about vector analysis in physics problems
  • Explore the effects of Earth's magnetic field on moving charges
  • Investigate practical applications of induced emf in antennas
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Homework Statement



A car with a vertical radio antenna 75 cm long drives due west at 23 m/s. The Earth's magnetic field at this location has a magnitude of 5.9 10-5 T and points northward, 74° below the horizontal. Find the induced emf between the ends of the antenna.

Homework Equations



I tried using the equation E=BvL with the different vector components. I also tried it without using the vector components and I got the same answer.
 
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Show us your work using the vector components please. Is the answer wrong?
 
Okay, never mind...I found out what I was doing wrong...thank you sooooo much!
 

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