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  • The electric field in an EM wave is given by <img alt="E=50 \sin (\omega t- \frac{\omega }{c} \times x)" src="https://entrancecorner.oncodecogs.com/gif.latex?E%3D50%20%5Csin%20%28%5Comega%20t-%20%5

The electric field in an EM wave is given by E=50 \sin (\omega t- \frac{\omega }{c} \times x). The energy contained in a cylinder of volume V is 5.5 \times 10^{-12} \mathrm{~J}. The value of V is

Option: 1

150 \mathrm{cc}


Option: 2

250 \mathrm{cc}


Option: 3

400 \mathrm{cc}


Option: 4

500 \mathrm{cc}


Answers (1)

best_answer

E=50 \sin \left(\omega t-\frac{\omega}{c} \cdot x\right)
Energy density =\frac{1}{2} \epsilon_0 E_0^2
The total energy in volume V=\frac{1}{2} \epsilon_0 E_0^2 V

\begin{aligned} & \Rightarrow \frac{1}{2} \epsilon_0 t_0^2 \mathrm{~V}=5.5 \times 10^{-12} \\ & \Rightarrow \frac{1}{2} \times 8.8 \times 10^{-12} \times 2500 \times \mathrm{V}=5.5 \times 10^{-12} \\ & \Rightarrow V=500 \mathrm{cc} \end{aligned}

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