A transmission line is excited by a 100 V DC source. If the reflection coefficients at both ends are 1, what will happen to the oscillations on the line?

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Solve this multiple-choice question and choose the correct option.

Accepted Answer

Introduction / Context:Transmission line theory considers wave reflections at mismatched terminations. Reflection coefficients determine how much energy is reflected back, influencing standing waves and oscillations. Given Data / Assumptions: DC source = 100 V applied. Reflection coefficient at both ends = 1 (perfect reflection). Concept / Approach:If both ends reflect 100% of the energy, no dissipation occurs. The wave will bounce indefinitely, sustaining oscillations unless loss mechanisms are introduced. Step-by-Step Solution: Reflection coefficient Γ = +1 means full constructive reflection.At source end and load end, energy reflects back entirely.Thus, energy is trapped → oscillations never decay. Verification / Alternative check:In practical systems, even small losses attenuate oscillations. But with ideal assumption (Γ = 1 at both ends), oscillations persist forever. Why Other Options Are Wrong: No oscillations: incorrect, reflection ensures oscillations.1 or 2: wrong, indefinite reflection occurs.Finite oscillations: contradicts perfect reflection assumption. Common Pitfalls: Forgetting that Γ = 1 means no energy is absorbed by load/source. Final Answer: the oscillations will continue indefinitely

A transmission line is excited by a 100 V DC source. If the reflection coefficients at both ends are 1, what will happen to the oscillations on the line?

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