Practicing Success
A plane electromagnetic wave, $E_z=100 \cos \left(6 \times 10^8 t+4 x\right) Vm^{-1}$, propagating in a medium of dielectric constant is: |
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$E_z=100 \cos \left(6 \times 10^8 t+4 x\right) Vm^{-1}$ Comparing the given equation with $E_z=E_0 \cos (\omega t+kx)$, We get $\omega=6 \times 10^8 {rads}^{-1}, k=4 {radm}^{-1}$ Speed of electromagnetic wave in a medium is $v=\frac{\omega}{k}=\frac{6 \times 10^8 {rads}^{-1}}{4 {radm}^{-1}}=\frac{3 \times 10^8}{2} ms^{-1}$ Dielectric constant, $K=\left(\frac{c}{v}\right)^2=\left(\frac{3 \times 10^8 ms^{-1}}{\frac{3 \times 10^8}{2} ms^{-1}}\right)^2=4$ |