Question 1 of 27070
Q
A certain length of transmission line has a characteristic impedance of 72 ohms. If the line is cut at its center, each half of the transmission line will have a ZO of:
A
36 ohms.
B
144 ohms.
C
72 ohms.
D
The exact length must be known to determine Zo.
Question 1 / 27070z1kNhxiWzA2XelVywqfc
Question 1 of 27070z1kNhxiWzA2XelVywqfc

A certain length of transmission line has a characteristic impedance of 72 ohms. If the line is cut at its center, each half of the transmission line will have a ZO of:

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Question 1 of 27070
Q

A certain length of transmission line has a characteristic impedance of 72 ohms. If the line is cut at its center, each half of the transmission line will have a ZO of:

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🔍 Key Concepts

• Characteristic impedance (Zo) is a property of the line’s construction (geometry and materials), not how long it is • Cutting a transmission line changes its length but does it change its Zo? • Compare this to cutting a resistor in half versus cutting a specific type of cable in half

💭 Think About

• Ask yourself: what physical factors determine the characteristic impedance of a transmission line? Length, or things like conductor spacing and dielectric? • If you take a piece of coaxial cable with a known Zo and cut it into two equal pieces, what happens to each half’s Zo? • Does the total input impedance of a finite-length line always equal Zo, or is Zo an inherent property of an infinitely long/ideal line?

✅ Before You Answer

• Be clear on the difference between characteristic impedance (Zo) and the input impedance of a particular length of line • Confirm whether changing length alone (with all other construction details identical) changes Zo • Eliminate any answers that suggest Zo depends on total length when construction remains the same