GATE EC 2014 Set 1 — Question 64
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Electromagnetics → Transmission Lines → Characteristic Impedance & Propagation
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Question
For a parallel plate transmission line, let be the speed of propagation and be the characteristic impedance. Neglecting fringe effects, a reduction of the spacing between the plates by a factor of two results in
Correct answer
(B) no changes in v and halving of Z
Solution
For a parallel plate transmission line, the speed of propagation is given by and the characteristic impedance is , where is the spacing between the plates and is the width of the plates.
1.Speed of propagation (): The formula shows that the speed depends only on the medium's permittivity () and permeability (). It is independent of the physical dimensions like spacing . Therefore, remains unchanged.
2.Characteristic Impedance (): The formula shows that is directly proportional to the spacing . If the spacing is reduced by a factor of two (), the new impedance becomes:
Thus, is halved.Conclusion: No change in and halving of .Continue learning with Success Tracker
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