How Is Electric Field Amplitude Related to Power in Electromagnetic Waves?

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SUMMARY

The relationship between electric field amplitude and power in electromagnetic waves is defined by the equation P = IA, where P represents power, I is current, and A is the cross-sectional area. For a transmission line carrying 500 kV and 1000 A over an area of 100 m², the required electric field amplitude can be calculated using the relationship E = cB, where c is the speed of light and B is the magnetic field. This discussion emphasizes the importance of understanding these equations to effectively transmit power in electromagnetic systems.

PREREQUISITES
  • Understanding of electromagnetic wave equations
  • Familiarity with power transmission concepts
  • Knowledge of electric field and magnetic field relationships
  • Basic grasp of physics principles related to electricity and magnetism
NEXT STEPS
  • Calculate electric field amplitude using P = IA for given power levels
  • Explore the implications of cross-sectional area on power transmission
  • Study the speed of light and its role in electromagnetic wave propagation
  • Investigate real-world applications of electromagnetic wave power transmission
USEFUL FOR

Physics students, electrical engineers, and professionals involved in power transmission and electromagnetic wave applications will benefit from this discussion.

Tcat
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Hi I am having trouble relating power to the electric field amplitude, I know that P=IA and E=cB, could someone please help? The problem reads:

What electric-field amplitude is required to transmit an amount of power equal to that handled by modern transmission lines (that carry voltages and currents of 500 kV and 1000 A)? Suppose power is to be transmitted in a beam of cross-sectional area 100m^2.
 
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