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Network Elements and the Concept of Circuit

  1. The voltage marked Vx is given by—


    1. 60
      V
      7
    2. 120
      V
      7
    3. 40
      V
      7
    4. None of these.
Correct Option: B

Apply superposition theorem to solve this problem
Case I. Take 8A current source the circuit becomes

current in 2 Ω resistance, i.e.

I 1 = 8 ×
5
=
40
amp. → (i) (A → B)
5 + 27

Case II. Take 20 V voltage source: the circuit becomes
Note: Here the resistance connected in the arm CD is the extra redundant element because voltage their resistance in independent.

I = I2 =
20
=
20
amp
5 + 27

which is also flowing in 2 Ω resistance. (A → B) so, the net current in the 2 resistance
=
40
+
20
=
60
(∵ I = I1 + I2)
777

Voltage (Vx) = 2 ×
60
=
120
V
77



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