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The expression of the characteristic impedance of a symmetrical T-section is?
- a)ZOT = √(Z12/4-Z1Z2)
- b)ZOT = √(Z12/4+Z1)
- c)ZOT = √(Z12/4+Z2)
- d)ZOT = √(Z12/4+Z1Z2)
Correct answer is option 'D'. Can you explain this answer?
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The expression of the characteristic impedance of a symmetrical T-sect...
For a T-section, the value of input impedance when it is terminated in Zo is
Zin=(Z1/2)+(Z2((Z1/2)+Zo))/((Z1/2)+Z2+Zo) and Zin=Zo. On solving, the expression of the characteristic impedance of a symmetrical T-section is ZOT=√(Z12/4+Z1Z2).
Zin=(Z1/2)+(Z2((Z1/2)+Zo))/((Z1/2)+Z2+Zo) and Zin=Zo. On solving, the expression of the characteristic impedance of a symmetrical T-section is ZOT=√(Z12/4+Z1Z2).
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The expression of the characteristic impedance of a symmetrical T-sect...
Characteristic Impedance of a Symmetrical T-Section
Characterizing the characteristic impedance of a symmetrical T-section involves determining the impedance seen at the junction point of the T-section.
Expression for Characteristic Impedance (ZOT)
The correct expression for the characteristic impedance (ZOT) of a symmetrical T-section is given by the formula:
ZOT = √(Z1*Z2/4 + Z1*Z2)
Explanation of the Expression
- The expression involves the individual impedances of the two branches (Z1 and Z2) and their product divided by 4.
- The square root of the sum of this division and the product of the two impedances gives the characteristic impedance of the T-section.
- This formula takes into account the symmetrical nature of the T-section and the interaction between the impedances of the two branches.
Significance of the Characteristic Impedance
- The characteristic impedance is crucial in determining the behavior of the T-section in terms of signal reflection and transmission.
- It helps in matching impedance levels between different components in a circuit to minimize signal distortion and loss.
In conclusion, the correct expression for the characteristic impedance of a symmetrical T-section involves the individual impedances of the branches and their product divided by 4, all under a square root. This formula is essential in understanding and designing circuits with T-section configurations.
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The expression of the characteristic impedance of a symmetrical T-section is?a)ZOT= √(Z12/4-Z1Z2)b)ZOT= √(Z12/4+Z1)c)ZOT= √(Z12/4+Z2)d)ZOT= √(Z12/4+Z1Z2)Correct answer is option 'D'. Can you explain this answer?
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