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Electromagnetic Waves Formula

Electromagnetic Waves Formula

Expression of electric field and magnetic field

E = Eo sin (ωt – kx)

B = Bo sin (ωt – kx)

  • E = Electric field
  • Eo = Amplitude of electric
  • B = Magnetic field
  • Bo = Amplitude of Magnetic field
  • t = time
  • ω = Angular frequency
  • x = distance

Velocity of electromagnetic wave

(i) c = 1\over \sqrt{\mu_o \epsilon _o}

(ii) c = E\over B=E_o\over B_o

where

  • μo = 4π × 10-7 N C-2 s2
  • ε0 = 8.854 ×10-12 C2 N-1 m-2

The energy density of an electromagnetic field

u = {1\over 2}\epsilon _o {E_o}^2

u = {1\over 2 \mu_o}{B_o}^2

  • u = Energy density
  • μo = 4π × 10-7 N C-2 s2
  • ε0 = 8.854 ×10-12 C2 N-1 m-2

Intensity of Radiation and radiation pressure

I = c × u

p = {1\over 3}u

  • I = Intensity of radiation
  • p = Radiation pressure

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