GATE EC 2015 Set 2 — Question 64
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0HardDipole & Monopole AntennasAntennasElectromagneticsLinear Arrays & Array Factor
Electromagnetics → Antennas → Dipole & Monopole Antennas
Last updated
Question
Two half-wave dipole antennas placed as shown in the figure are excited with sinusoidally varying currents of frequency and phase shift of between them (the element at the origin leads in phase). If the maximum radiated -field at the point in the - plane occurs at an azimuthal angle of , the distance (in meters) between the antennas is _______.
Correct answer
49 to 51
Solution
1.Calculate the wavelength ():
Given frequency ..
2.Determine the phase difference () at point :
The total phase difference between the fields from the two antennas at a distant point is given by:where:
- is the phase constant.
- is the distance between antennas.
- is the angle with respect to the array axis (x-axis), given as .
- is the progressive phase shift. Since the antenna at the origin leads by , the second antenna lags by , so .
Maximum radiation occurs when the fields are in phase, i.e., .
Thus, the distance is .
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.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Antennas
2026 Set 1 Q21Consider the Friis' transmission equation , 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 mode of an air-filled rectangular…2026 Set 1 Q34For a lossless passive two-port network, and intersect at -3 dB. For a lossy…