Multiple choice

With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed: (i) 1$\Omega$connected at port B draws a current of 3 A (ii) 2.5 $\Omega$ connected at port B draws a current of 2 A With 10 V dc connected at port A, the current drawn by 7 $\Omega$connected at port B is

  1. 3/7 A

  2. 5/7

  3. 1A

  4. 9/7 A

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

 Using Y-admittance model to figure out current for port B: I4 = Y21.V1 + Y22.V2 (i) from the 1st condition, -3 = Y21.10 + Y22.3 (since V2 = - I4 *RL = -(-3)*1 = 3V) (ii) from the 2nd condition, -2 = Y21.10 + Y22.5 (since V2 = - I4 *RL = -(-2)*2.5 = 5V) Solving these 2 equations, we get : Y21 = -9/20 and Y22 = 1/2 Hence, I4 = (-9/20).V1 + (1/2).V2 Given, V1 = 10V and V2 = (-I4 * 7) Substituting, We get I4 = -1A Ans : Current drawn by the 7$\Omega$ load resistor = -I4 = 1A