GATE EC 2003 Electromagnetics Solution Q 5

GATE EC 2003 Electromagnetics Solution Q 5

If the electric field intensity associated with a uniform plane electromagnetic wave travelling in a perfect dielectric medium is given by   E(z,t)=10\cos\left(2\pi\times10^7t-0.1\pi z\right)\frac Vm the velocity of the travelling wave is_____

(a) 3.00\times10^8\;m/sec

(b) 2.00\times10^8\;m/sec

(c) 6.28\times10^7m/sec

(d) 2.00\times10^7m/sec

Ans : b)

Explanation

Comparing with standard equation for the EM wave, \cos\left(\omega t-\beta z\right) we have,

\omega=2\pi\times10^7\;\;\;\&\;\;\;\beta=0.1\pi v=\frac\omega\beta=\frac{2\pi\times10^7}{0.1\pi}=2\times10^8m/s

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