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MMLU-Pro / 12112 / A 50 V pulse is incident on a 30 ohm load (Z_L = R_L) in a line with…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A 50 V pulse is incident on a 30 ohm load (Z_L = R_L) in a line with characteristic resistance of Z_0 = R_0 = 50 ohms. Find the following: a) Incident Current Pulse, b) Reflection Coefficient, c) Reflected Voltage Pulse, d) Reflected Current Pulse, e) Net voltage and current at the load.

category

engineering

options

  1. Incident Current Pulse: 1.5 Ampere, Reflection Coefficient: -0.3, Reflected Voltage Pulse: -15V, Reflected Current Pulse: 0.3 Amperes, Net voltage at the load: 35V, Net current at the load: 1.8 Amperes
  2. Incident Current Pulse: 0.6 Ampere, Reflection Coefficient: -0.5, Reflected Voltage Pulse: -30V, Reflected Current Pulse: 0.3 Amperes, Net voltage at the load: 20V, Net current at the load: 0.9 Amperes
  3. Incident Current Pulse: 0.75 Ampere, Reflection Coefficient: 0, Reflected Voltage Pulse: 0V, Reflected Current Pulse: 0 Amperes, Net voltage at the load: 50V, Net current at the load: 0.75 Amperes
  4. Incident Current Pulse: 2 Amperes, Reflection Coefficient: -0.4, Reflected Voltage Pulse: -20V, Reflected Current Pulse: 0.8 Amperes, Net voltage at the load: 30V, Net current at the load: 2.8 Amperes
  5. Incident Current Pulse: 0.5 Ampere, Reflection Coefficient: -0.1, Reflected Voltage Pulse: -5V, Reflected Current Pulse: 0.1 Amperes, Net voltage at the load: 45V, Net current at the load: 0.6 Amperes
  6. Incident Current Pulse: 1 Ampere, Reflection Coefficient: 0.2, Reflected Voltage Pulse: 10V, Reflected Current Pulse: -0.2 Amperes, Net voltage at the load: 40V, Net current at the load: 1.2 Amperes
  7. Incident Current Pulse: 1.2 Ampere, Reflection Coefficient: -0.2, Reflected Voltage Pulse: -6V, Reflected Current Pulse: 0.24 Amperes, Net voltage at the load: 44V, Net current at the load: 1.44 Amperes
  8. Incident Current Pulse: 1 Ampere, Reflection Coefficient: 0.1, Reflected Voltage Pulse: 5V, Reflected Current Pulse: -0.1 Amperes, Net voltage at the load: 55V, Net current at the load: 0.9 Amperes
  9. Incident Current Pulse: 1 Ampere, Reflection Coefficient: -0.25, Reflected Voltage Pulse: -12.5V, Reflected Current Pulse: 0.25 Amperes, Net voltage at the load: 37.5V, Net current at the load: 1.25 Amperes
  10. Incident Current Pulse: 2 Ampere, Reflection Coefficient: -0.5, Reflected Voltage Pulse: -10V, Reflected Current Pulse: 0.5 Amperes, Net voltage at the load: 40V, Net current at the load: 1.5 Amperes

src

stemez-ElectronicCommunications

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Source and history

upstream_id / Original problem ID
12112
task_id
7f951847-07fa-5bfd-8040-770bfa1993af
task_key
default--test--12112
task_revision_id
1
config / split
default / test

Official source

initial import