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  1. For the circuit shown below, the current IAB is—


    1. 2mA
    2. – 2mA
    3. 5mA
    4. – 5mA
Correct Option: A

The given circuit:

Applying KCL at node A, we get:

VA - 50
+
VA - 100
+
VA - VB
= 0...............(i)
5kΩ20kΩ4kΩ

KCL at node B, we get:
VB - 30
+
VB - 60
+
VB - VA
= 0...............(ii)
3kΩ6kΩ4kΩ

Simplifying equation (i) and (ii), we get:
2VA – VB = 20 ….........(iii)
and
V = 3VB . . . . . …(iv)
VB = 4V and VA = 12V
Now,
IAB =
VA - VB
=
12 - 4
= 2mA
4kΩ4kΩ

Hence alternative (A) is the correct choice.



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