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Official PYQ · 2012

GATE EC 2012 Set 1 Q40 — Transmission Lines

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The magnetic field along the propagation direction inside a rectangular waveguide with the cross-section shown in the figure is

HZ=3 cos⁡(2.094×102x) cos⁡(2.618×102y) cos⁡(6.283×1010t−βz)H_Z=3\:\cos(2.094\times10^2x)\:\cos(2.618\times10^2y)\:\cos(6.283\times10^{10}t-\beta z)

The phase velocity vpv_p of the wave inside the waveguide satisfies

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