What are the dimensions of the pointing vector in physics?

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SUMMARY

The dimensions of the pointing vector in physics are defined through the equation S = E × H, where E represents electric field strength with dimensions of N/C (Newtons per Coulomb) and H represents magnetic field strength with dimensions of N/(A·m) (Newtons per Ampere-meter). The standard operator for denoting dimensions of a quantity is crucial for understanding the relationship between power and area, as the pointing vector signifies power per unit area. The dimension of H is confirmed to be current per length, with the unit expressed as A/m (Amperes per meter).

PREREQUISITES
  • Understanding of electric field strength (E) and its dimensions (N/C).
  • Knowledge of magnetic field strength (H) and its dimensions (N/(A·m)).
  • Familiarity with the concept of dimensional analysis in physics.
  • Basic grasp of vector multiplication, particularly cross products.
NEXT STEPS
  • Research the implications of the pointing vector in electromagnetic theory.
  • Study dimensional analysis techniques in physics for better clarity on units.
  • Explore the relationship between electric and magnetic fields in Maxwell's equations.
  • Learn about the applications of the pointing vector in wave propagation and energy transfer.
USEFUL FOR

Students and professionals in physics, particularly those interested in electromagnetism, as well as educators seeking to clarify concepts related to electric and magnetic fields.

PhDorBust
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Sorry for the trivial question. But I'm not a physics student by training and I think I running into problems due to interchanging metrical systems.

[tex]S = E \times H[/tex]

[tex] E \equiv \frac{N}{C}[/tex]

[tex] H \equiv \frac{N}{A \cdot m}<br /> <br /> [/tex]

Also, is there any standard operator for denoted dimensions of a quantity? The answer should be power per unit area - I get some extra charge dimensions among other things. Cross product should behave dimensionally as normal multiplication.
 
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PhDorBust said:
[tex] H \equiv \frac{N}{A \cdot m}<br /> <br /> [/tex]

The dimension of H is current/length so the unit is A/m.

ehild
 

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