When port $1$ of a two port circuit is short circuited, $I_{1} = 4 I_{2}$ and $V_{2} = 0.25 I_{2}$ . Which of the following is true?

Y_{11} = 4 ℧

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Y_{12} = 16 ℧

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Y_{21} = 16 ℧

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Y_{22} = 0.25 ℧

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $Y_{12} = 16 ℧$
From the option it is clearly known that we need to find y-parameters
i.e $I_{1} = Y_{11} V_{1} + Y_{12} V_{2}$
$I_{2} = Y_{21} V_{1} + Y_{22} V_{2}$
Given that port $1$ is short circuited,so $V_{1} = 0$
$∴ I_{1} = Y_{12} V_{2}$
$I_{2} = Y_{22} V_{2}$
Also given, $V_{2} = 0.25 I_{2} \Rightarrow I_{2} = 4 V_{2}$
$I_{1} = 4 I_{2}$
$Y_{12} V_{2} = 4 [Y_{22} V_{2}]$
$Y_{12} = 4 Y_{22}$
$Y_{12} = 16 ℧$

Suggest Corrections

Similar questions

Q. When one port of a two port network is open circuited,

V_{1} = 4 V_{2}

and

I_{2} = 0.25 V_{2}

then, which of the following is correct?

Q. Consider the two-port resistive network shown in the figure. When an excitation of 5 V is applied across port 1, and port 2 is shorted, the current through the short circuit at port 2 is measured to be 1 A (see(b)in the figure).

Now, if an excitation of 5 V is applied across port 2, and port 1 is shorted (see(b) in the figure), what is the current through the short circuit at port 1 ?

Q. A two-port network is represented by ABCD parameters given by

[\begin{matrix} V_{1} I_{1} \end{matrix}] = [\begin{matrix} A & B C & D \end{matrix}] [\begin{matrix} V_{2} - I_{2} \end{matrix}]

If port-2 is terminated by

R_{L}

, the input impendance seen at port-1 is given by

The ABCD matrix for a two-port network is defined by
$[\begin{matrix} V_{1} I_{1} \end{matrix}] = [\begin{matrix} A & B C & D \end{matrix}] [\begin{matrix} V_{2} - I_{2} \end{matrix}]$

The parameter B for the given two-port network(in ohms, correct to two decimal places) is

Q. With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed.
(i)

1 Ω

connected at port B draws a current of 3 A.
(ii)

2.5 Ω

connected at port B draws a current of 2 A.

For the same network, with 6 V dc connected at port A,

1 Ω

connected at port B draws 7/3 A. If 8 V dc is connected to port A, the open circuit voltage at port B is

Join BYJU'S Learning Program

When port 1 of a two port circuit is short circuited, I1=4I2 and V2=0.25I2. Which of the following is true?

The correct option is B Y12=16 ℧From the option it is clearly known that we need to find y-parameters i.e I1=Y11V1+Y12V2 I2=Y21V1+Y22V2 Given that port 1 is short circuited,so V1=0 ∴ I1=Y12V2 I2=Y22V2 Also given, V2=0.25I2⇒ I2=4V2 I1=4I2 Y12V2=4[Y22V2] Y12=4Y22 Y12=16 ℧

When port $1$ of a two port circuit is short circuited, $I_{1} = 4 I_{2}$ and $V_{2} = 0.25 I_{2}$ . Which of the following is true?