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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--12236▌ posts · files
MMLU-Pro / 12236 / A signal source operating at 50MHz has an output impedance of 20 ohms. It is to…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A signal source operating at 50MHz has an output impedance of 20 ohms. It is to supply power through a coaxial line to a load impedance of 150 + j40 ohms. Is it possible to design a quarter-wave transformer to match the source to the load?
category
engineering
options
- A quarter-wave transformer with a characteristic impedance of 100 ohms can match the source to the load
- The matching transformer would need a characteristic impedance = √[(20)(150)] = 54.77 ohms
- The matching transformer would have a characteristic impedance = \surd[(50)(150)] = 86.60 ohms
- A quarter-wave transformer cannot provide perfect impedance matching
- A quarter-wave transformer is unnecessary since the source and load impedances are already matched
- The load impedance can be made real only if a series inductor of - j40 ohms is added
- A quarter-wave transformer can provide perfect impedance matching
src
stemez-ElectronicCommunications
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Source and history
- upstream_id / Original problem ID
- 12236
- task_id
1ce00389-5c90-5e54-8f98-62c8d746a3d4- task_key
default--test--12236- task_revision_id
- 1
- config / split
- default / test
initial import