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The electric field in an electromagnetic wave is given by E=(5

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Solving time: 2 mins

The electric field in an electromagnetic wave is given by
$E = (50 NC^{- 1}) sin ω (t - x / c)$
Find the energy contained in a cylinder of cross-section $10 cm^{2}$ and length $50 cm$ along the $x$ -axis.

Views: 5,359 students

Updated on: May 3, 2023

Book:

Optics And Modern Physics (DC Pandey)

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Michael Discussed

The electric field in an electromagnetic wave is given by

E = (50 NC^{- 1}) sin ω (t - x / c)

Find the energy contained in a cylinder of cross-section

10 cm^{2}

and length

50 cm

along the

x

-axis.

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

u_{E} = u_{B} = \frac{1}{2} ε_{0} E^{2}

= \frac{1}{2} ε_{0} (\frac{E _{0}}{2})^{2}

= \frac{1}{4} ε_{0} E_{0}^{2}

= \frac{1}{4} (8.86 \times 1 0^{- 12}) (50)^{2}

= 5.54 \times 1 0^{- 9} J / m^{3}

Total energy

= (u_{E} + u_{B})

(Given volume)

= 2 \times 5.54 \times 1 0^{- 9} \times (10 \times 1 0^{- 4}) (0.50)

= 5.55 \times 1 0^{- 12} J

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Question Text	The electric field in an electromagnetic wave is given by $E = (50 NC^{- 1}) sin ω (t - x / c)$ Find the energy contained in a cylinder of cross-section $10 cm^{2}$ and length $50 cm$ along the $x$ -axis.
Updated On	May 3, 2023
Topic	Electromagnetic Waves
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 4
Upvotes	435
Avg. Video Duration	5 min

The electric field in an electromagnetic wave is given by
$E = (50 NC^{- 1}) sin ω (t - x / c)$
Find the energy contained in a cylinder of cross-section $10 cm^{2}$ and length $50 cm$ along the $x$ -axis.

Text solutionVerified

Filo tutor solutions (4)

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The electric field in an electromagnetic wave is given byE=(50NC−1)sinω(t−x/c)Find the energy contained in a cylinder of cross-section 10 cm2 and length 50 cm along the x-axis.

Text solutionVerified

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The electric field in an electromagnetic wave is given by
$E = (50 NC^{- 1}) sin ω (t - x / c)$
Find the energy contained in a cylinder of cross-section $10 cm^{2}$ and length $50 cm$ along the $x$ -axis.