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  1. Consider the circuit as shown below which has a current dependent current source. The value V2 /V1 is—


    1. 1
    2. 2
    3. 1 + α
      2 + α
    4. α
      2 + α
Correct Option: C

The given circuit:

Applying KCL at node A, we get

VA - V1
+
VA
= αi ........…(i)
RR

From figure:
VA = V2 and
V1 - VA
= i
R

Now,
V2 - V1
+
V2
= α
V1 - VA
= i
RRR

or
V2
1
+
1
+
α
=
α
V1 +
V1
RRRRR

or
V2
2 + α
= V1
α + 1
RR

or
V2
=
1 + α
V12 + α

Hence alternative (C) is the correct choice.



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