Q65 / 90 · JEE Main 2023 (06 Apr Shift 2) · Physics

The energy density associated with electric field E→ and magnetic field B→ of an electromagnetic wave in free space is given by (ε0- permittivity of free space, μ0- permeability of free space)

  • A
    UE=E22ε0, UB=B22μ0
  • Correct answer
    B
    UE=ε0E22, UB=B22μ0
  • C
    UE=ε0E22, UB=μ0B22
  • D
    UE=E22ε0, UB=μ0B22

Solution

When an electromagnetic wave propagates from the source, it transfers energy to the objects in its path. Electric and magnetic fields serve as energy reservoirs for electromagnetic waves. An electromagnetic wave contains the same amount of energy as are contained in the electric and magnetic fields together. In such situation, the energy density of the electromagnetic wave is equal to the sum of the energies of the electric and magnetic fields.

The average electric and magnetic energy densities are given by

UE=12ε0E2UB=12B2μ0

Hence, the correct answer is option: 'B'.

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