Midterm 2 _solutions.pdf - ECE 333 UMass Amherst Midterm 2 7:00PM-9:00PM Thursday Name Note Do not forget the units and label the axes for plots 1[25

# Midterm 2 _solutions.pdf - ECE 333 UMass Amherst Midterm 2...

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ECE 333 UMass Amherst 1 Midterm 2 7:00PM-9:00PM Thursday, 11/07/2019 Name: Note: Do not forget the units and label the axes for plots 1. [25 pts] A time-dependent voltage source with an internal resistance of R g is connected to a lossless transmission line of length l = 200 m which is terminated in a resistor R L . The wave velocity on the transmission line is 𝑢𝑢 = 2 × 10 8 m/s. (a) [19 pts] Using the bounce diagram, sketch the load voltage ( z = l ) for 0 < 𝑡𝑡 < 4 µ s. (b) [6 pts] Using the bounce diagram, sketch the voltage on the line at 𝑡𝑡 = 2.25 µ s. Z 0 = 50 z = 0 R g = 100 V g z = 𝑙𝑙 + R L = 75 V g ( t ) (V) t ( µ s ) 0 1 45 90 2
ECE 333 UMass Amherst 2 2. [20 pts] The electric field of a wave in a vacuum is given by 𝑬𝑬 = 𝑥𝑥 e −𝑦𝑦 cos(9 × 10 8 𝑡𝑡 − 2 𝑧𝑧 ) (V/m), where 𝑦𝑦 and 𝑧𝑧 are in meters, and 𝑡𝑡 is in seconds. (a) [6 pts] Find the displacement current density 𝑱𝑱 d . (b) [14 pts] Find the magnetic field of this wave 𝑯𝑯 .
ECE 333 UMass Amherst 3 3.

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