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The magnitude of the vector representing the product of electric field and magnetic field vectors, constituting electromagnetic waves, has the same dimensions as that of:
1. electromagnetic power density
2. electric current density
3. electromagnetic energy density
4. electric charge density

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Correct Answer - Option 1 : electromagnetic power density

Poynting vector:

It states that the cross product of electric field vector (E) and magnetic field vector (H) at any point is a measure of the rate of flow of electromagnetic energy per unit area at that point that is 

\( \vec S = \vec E \times \vec H\)

S = Poynting vector

E = Electric field and

H = Magnetic field

The Poynting vector describes the magnitude and direction of the flow of energy in electromagnetic waves per unit volume.

∴ The dimensions of both the Poynting vector and the electromagnetic power density are the same, i.e. M1 L-1 T-2

M = Mass

L = Length

T = Time

Notes:

​Current density:

  • Denoted by J, the electric current density is the rate at which charge flows (electric current) per unit area of cross-section.
  • It is a vector quantity since it has both magnitude and direction.
  • Its magnitude is the current per unit area and its direction is the same as that of the charges at that point.
  • Current per unit area (taken normal to the current), I/A, is called current density.
    It is denoted by J.
  • The SI units of the current density are A/m2 and dimension is given by M0L-2T0I1 or [M0 L−2 T−1 Q]

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