1
GATE EE 2017 Set 1
+2
-0.6
Two passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port 1. $$\begin{array}{l}Given:\\V_1=A_1V_2+B_1I_2\\I_1=C_1V_2+D_1I_2\\V_2=A_2V_3+B_2I_3\\I_2=C_2V_3+D_2I_3\end{array}$$

$$A_1,\;B_1,\;C_1,\;D_1,\;A_2,\;B_2,\;C_2,\;and\;D_2$$ are the generalized circuit constants. If the Thevenin equivalent circuit at port 3 consists of a voltage source VT and impedance ZT connected in series, then

A
$$V_T=\frac{V_1}{A_1A_2},\;Z_T=\frac{A_1B_2+B_1D_2}{A_1A_2+B_1C_2}$$
B
$$V_T=\frac{V_1}{A_1A_2+B_1C_2},\;Z_T=\frac{A_1B_2+B_1D_2}{A_1A_2}$$
C
$$V_T=\frac{V_1}{A_1+A_2},\;Z_T=\frac{A_1B_2+B_1D_2}{A_1+A_2}$$
D
$$V_T=\frac{V_1}{A_1A_2+B_1C_2},\;Z_T=\frac{A_1B_2+B_1D_2}{A_1A_2+B_1C_2}$$
2
GATE EE 2015 Set 1
Numerical
+2
-0
In a linear two-port network, when 10 V is applied to Port 1, a current of 4 A flows through Port 2 when it is short-circuited. When 5V is applied to Port1, a current of 1.25 A flows through a 1 Ω resistance connected across Port 2. When 3V is applied to Port 1, then current (in Ampere) through a 2 Ω resistance connected across Port 2 is _________.
3
GATE EE 2012
+2
-0.6
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

W ith 10 V dc connected at port A, the current drawn by 7 Ω connected at port B is
A
3/7 A
B
5/7 A
C
1 A
D
9/7 A
4
GATE EE 2012
+2
-0.6
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
A
6
B
7
C
8
D
9
EXAM MAP
Medical
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