Success TrackerSuccess Tracker
Log inSign up

GATE EC 2015 Set 1 — Question 63

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
MCQ+2 / -0.67MediumTE & TM ModesWaveguides & Optical FibersElectromagneticsRectangular & Circular Waveguides

Electromagnetics → Waveguides & Optical Fibers → Rectangular & Circular Waveguides

Last updated

Question

The longitudinal component of the magnetic field inside an air-filled rectangular waveguide made of a perfect electric conductor is given by the following expressionHz(x,y,z,t)=0.1cos⁡(25πx)cos⁡(30.3πy)cos⁡(12π×109t−βz) (A/m)H_z(x, y, z, t) = 0.1 \cos(25\pi x) \cos(30.3 \pi y) \cos(12\pi \times 10^9 t - \beta z) \text{ (A/m)}The cross-sectional dimensions of the waveguide are given as a=0.08 ma = 0.08 \text{ m} and b=0.033 mb = 0.033 \text{ m}. The mode of propagation inside the waveguide is
Your answer

Choose one option, then check your answer.

The solution stays hidden until you check.

Continue learning with Success Tracker

A step still unclear? Work through it with support

Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans
PYQs with solutions
Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts
Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support
Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

Start with a free accountView plans and allowances

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.

More questions on Waveguides & Optical Fibers

2026 Set 1 Q21Consider the Friis' transmission equation PR=PTGTGRλ2(4πD)2P_R = \frac{P_T G_T G_R \lambda^2}{(4\pi D)^2}, where…2026 Set 1 Q24The electric field of a monochromatic plane wave travelling in a lossless isotropic and homogenous…2026 Set 1 Q28Which option(s) represents/ represent the dielectric loss tangent of a substrate?2026 Set 1 Q33The cutoff frequency (in GHz) for the dominant TE10TE_{10} mode of an air-filled rectangular…2026 Set 1 Q34For a lossless passive two-port network, ∣S11∣|S_{11}| and ∣S21∣|S_{21}| intersect at -3 dB. For a lossy…