You will undertake a number of problem solving techniques designed to develop your understanding of two-port networks.

Task 1 - Apply two-port network model to the solution of practical problems

Task 2 - Design and test symmetrical attenuators against computer models

TASK INTRODUCTION

You are an electronics engineer working for a company who specialise in developing two-port networks. You have been asked to analyse a customer's specifications.

TASK 1: (Apply two-port network model to the solution of practical problems)

Part A: For each of the attenuators shown in Fig 1 below determine the characteristic impedance Ro.

Part B: For the attenuator shown in Fig 2 below determine:

(i) the input resistance when the output port is open circuited.

(ii) the input resistance when the output port is short circuited.

(iii) the characteristic impedance of the network.

TASK 2: (Design and test symmetrical attenuators against computer models)

Part A: A T-section attenuator is needed to provide voltage attenuation of 30 dB with a characteristic impedance of 500Ω. Design appropriate attenuator. Ensure you show all of your calculations.

using simulation software, model the attenuator you have designed to determine if your circuit meets the requirements. Is the attenuation as expected? Is the input resistance thesame as the load resistance? You should include printouts of your results, these should be appropriately annotated and clearly explain what the printouts indicate.

Part B: Design a 7-network attenuator that will have a characteristic impedance of 50 K2 and an attenuation of 6 dB. Ensure you show all of your calculations.

Using simulation software, model the attenuator you have designed in to determine if your circuit meets the task requirements. Is the attenuation as expected? Is the input resistance the same as the load resistance? You should include printouts of your results, these should be appropriately annotated and clearly explain what the printouts indicate.

Opportunity for Merit and Disctinction (M1, M3. D3)

Part A: For a nominal T-network terminated by an impedance Zo and the "looking-in" impedance is also Z_o

Prove from first principles that Z_o = √(Z_A² + 2Z_AZ_B)
(The derivation must be step by step and references if any must be included)

Part B: For a nominal Π-network terminated by an impedance Zo and the "looking-in" impedance is also Zo

Prove from first principles that Z_o = √((Z₁Z₂²)/(Z₁ + 2Z₂))

(The derivation must be step by step and references if any must be included)

Part C: Produce a fully detailed report that uses technical language fluently and (M1) clearly explains the analysis of the steps in task 3 in a professional manner.