Handout 3_midterm2_preparation_solution_Q3_Q4.pdf - ECE 333 UMass Amherst Handout 3 1 A time-dependent voltage source with an internal resistance of Rg

Handout 3_midterm2_preparation_solution_Q3_Q4.pdf - ECE 333...

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ECE 333 UMass Amherst Handout 3 1.A time-dependent voltage source with an internal resistance of Rgis connected to an air-spaced lossless transmission line of length l= 300m which is terminated in a load resistance RL. (a)Using the bounce diagram, sketch the voltage and current at the mid-point of the transmission line (z= l/2) for 0 <𝑑𝑑< 3 Β΅s. (b)Using the bounce diagram, sketch the voltage and current on the line at 𝑑𝑑= 1.5Β΅s. (c)Find the steady state values of 𝑉𝑉+, π‘‰π‘‰βˆ’, 𝐼𝐼+, and πΌπΌβˆ’on the line. Z0= 50 Ωz = 0 Rg= 25 ΩVgz =𝑙𝑙+ – RL= 100 ΩVg(t) (V) t (Β΅s) 0 1 9 18
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ECE 333 UMass Amherst 2.The magnetic field beside a straight wire along the 𝑧𝑧axis in free space that is carrying a time varying current 𝑖𝑖(𝑑𝑑) = 10 cos(106𝑑𝑑) (A) is given approximately by 𝑯𝑯=𝑖𝑖(𝑑𝑑)2πœ‹πœ‹πœ‹πœ‹π“π“οΏ½.Consider a square clockwise contour with a side length π‘Žπ‘Ž= 2cm at a distance 𝑑𝑑=1 cm from the wire.
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