The energy density associated with electric field and magnetic field of an electromagnetic wave in free-space is given by (-permittivity of free space, -permeability of free space) [2023]

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Q.
The energy density associated with electric field $\vec{E}$ and magnetic field $\vec{B}$ of an electromagnetic wave in free-space is given by ( $ε_{0}$ -permittivity of free space, $μ_{0}$ -permeability of free space) [2023]

Solution

Q.
The energy density associated with electric field $\vec{E}$ and magnetic field $\vec{B}$ of an electromagnetic wave in free-space is given by ( $ε_{0}$ -permittivity of free space, $μ_{0}$ -permeability of free space) [2023]

1 $U_{E} = \frac{E^{2}}{2 ε_{0}}, U_{B} = \frac{B^{2}}{2 μ_{0}}$

2 $U_{E} = \frac{E^{2}}{2 ε_{0}}, U_{B} = \frac{μ_{0} B^{2}}{2}$

3 $U_{E} = \frac{ε_{0} E^{2}}{2}, U_{B} = \frac{μ_{0} B^{2}}{2}$

4 $U_{E} = \frac{ε_{0} E^{2}}{2}, U_{B} = \frac{B^{2}}{2 μ_{0}}$

Ans.
(4)

$U_{E} = \frac{1}{2} ε_{0} E^{2}, U_{B} = \frac{B^{2}}{2 μ_{0}}$

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Solution

Q. 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) [2023]

1 UE=E22ε0, UB=B22μ0

2 UE=E22ε0, UB=μ0B22

3 UE=ε0E22, UB=μ0B22

4 UE=ε0E22, UB=B22μ0

Ans. (4) UE=12ε0E2, UB=B22μ0

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Q.
The energy density associated with electric field $\vec{E}$ and magnetic field $\vec{B}$ of an electromagnetic wave in free-space is given by ( $ε_{0}$ -permittivity of free space, $μ_{0}$ -permeability of free space) [2023]

1 $U_{E} = \frac{E^{2}}{2 ε_{0}}, U_{B} = \frac{B^{2}}{2 μ_{0}}$

2 $U_{E} = \frac{E^{2}}{2 ε_{0}}, U_{B} = \frac{μ_{0} B^{2}}{2}$

3 $U_{E} = \frac{ε_{0} E^{2}}{2}, U_{B} = \frac{μ_{0} B^{2}}{2}$

4 $U_{E} = \frac{ε_{0} E^{2}}{2}, U_{B} = \frac{B^{2}}{2 μ_{0}}$

Ans.
(4)

$U_{E} = \frac{1}{2} ε_{0} E^{2}, U_{B} = \frac{B^{2}}{2 μ_{0}}$