What is the connection between the Poynting Vector and Current in Physics?

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SUMMARY

The discussion centers on the relationship between Current and the Poynting Vector in the context of General Physics. The Poynting Vector, defined as the cross product of the electric field (E) and magnetic field (H), quantifies the energy transfer in electromagnetic waves. Current (I) and voltage (V) are critical in power calculations, where power is expressed as P = I * V. The significance of current is highlighted in applications such as electromagnets and energy efficiency in power transmission.

PREREQUISITES
  • Understanding of the Poynting Vector and its calculation (E x H)
  • Basic knowledge of electric current and voltage relationships
  • Familiarity with power calculations in electrical systems (P = I * V)
  • Introduction to electromagnetic induction principles
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  • Study the derivation and applications of the Poynting Vector in electromagnetic theory
  • Explore the principles of electromagnetic induction and its effects on current generation
  • Learn about power efficiency in electrical systems and methods to optimize it
  • Investigate the role of differential equations in advanced physics topics related to electromagnetism
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Students of physics, electrical engineers, and anyone interested in the principles of energy transfer in electromagnetic fields and current electricity applications.

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What is the relationship between Current and the Poynting Vector? In General Physics, I was stumped by the focus on the relationship between Voltage, Current and resistivity. It appears to me that Energy transfer should be the focus. But if this is true, what is the significance of current, and how are all of these terms related to one another? As usual, everything seems to be related to everything else.. I have yet to take anything higher than a bit of Calc II. It seems that diff eq. will be necessary if i wish to pursue topics like this, in any greater depth. Any thoughts regarding these things?
 
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The Poynting vector is the product E x H and it gives the intensity of the electromagnetic wave.
It is also true that an electromagnetic induction in a coil generates a current which is proportional to the magnetic field.
 
Of course energy transfer or Power is important. For current electricity power is I*V. but for various reason both current and voltage may be a more important consideration say for example in an electromagnet current is a factor of concern. In the measurement or detection of physical phenomena a voltage from a transducer might be of concern. The Poynting vector tells us the of energy in an electromagnetic field that is being conveyed.. In current electricity power is of concern when efficiency in power transmission is of importance. It is of concern in determining if equipment using current electricity is capable of using or transferring that energy safely, say without overheating.
 

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