All Exams Test series for 1 year @ ₹349 only
Question

In admittance parameters :

(A) y11 is short circuit input impedance
(B) y22 is open circuit o/p admittance
(C) y21 is short circuit transfer admittance
(D) y12 is open circuit transfer admittance
(E) y12 and y21 are both short circuit transfer admittances

Choose the most appropriate answer from the options given below :

This question was previously asked in
UGC NET 2023 Home Science Question Paper (13-Dec-2023) (Shift 1)
The correct answer is

(A), (C), (E) Only

 Every y parameter is measured with a short circuit on the other port — that single fact decides all five statements.

The defining equations are

\(I_{1}=y_{11}V_{1}+y_{12}V_{2},\qquad I_{2}=y_{21}V_{1}+y_{22}V_{2}\)

To isolate any one parameter, the voltage at the other port must be set to zero — and a zero voltage is a short circuit:

ParameterDefinitionCondition
y11\(I_{1}/V_{1}\)V2 = 0, output shorted
y12\(I_{1}/V_{2}\)V1 = 0, input shorted
y21\(I_{2}/V_{1}\)V2 = 0, output shorted
y22\(I_{2}/V_{2}\)V1 = 0, input shorted

So (B) and (D) fail on the word "open". An open-circuit condition sets a current to zero, which is how Z parameters are measured, not Y parameters. Statement (B) calls y22 an open-circuit admittance and (D) calls y12 an open-circuit transfer admittance; both have borrowed the Z-parameter condition. That eliminates options 2, 3 and 4 at once, leaving option 1.

(C) and (E) are both correct, and (E) simply states the general rule that (C) illustrates: the two transfer parameters are measured with the opposite port shorted, so both are short-circuit transfer admittances. For a reciprocal network they are moreover equal, \(y_{12}=y_{21}\).

A note on statement (A). It is included in the official answer, and its condition — short circuit — is right, but its wording is loose: y11 is the short-circuit input admittance, measured in siemens, not an impedance. Since the whole parameter set is defined by \([I]=[Y][V]\), every entry must carry the dimensions of admittance. The paper evidently intends the short-circuit condition to be the point being tested, and no option offers (C) and (E) without (A).

Why the short-circuit condition suits Y parameters practically. At high frequencies a good short is easier to realise than a good open, since stray capacitance ruins an open circuit while only lead inductance troubles a short. Y parameters also add directly when two-ports are connected in parallel, exactly as Z parameters add for series connection.

Hence, the correct statements are (A), (C) and (E).

Was this answer helpful?
Need Expert Advice?
Test Series
UGC NET img
Teaching
UGC NET Library and Information Science 2024 - 2025 Mock Test Series
66 Tests 4 Tests Free
791 Attempts
4.4(17)
English, Hindi

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App