Electrical Engineering (EE)

In the π-circuit shown below, the current through the 2 Ω, resistor is
  • a)
    5 A
  • b)
    -6.67 A 
  • c)
    11.67 A
  • d)
    1.67 A
Correct answer is option 'D'. Can you explain this answer?

AMITA DHARAM answered  •  9 hours ago
Here, we apply superposition theorem.
Taking the 20 A current source only:

Taking the 10 A current source only:

Hence, the net current through the 2 Ω resistor
= I- I2 = (6.67 - 5) A = 1.67A

In the circuit shown below, the value of lx is
  • a)
    2 A    
  • b)
    -0.6 A
  • c)
    2.6 A    
  • d)
    1.4 A
Correct answer is option 'D'. Can you explain this answer?

JYOTI PARMAR answered  •  9 hours ago
Applying nodal analysis at the given node, we have

or, 3Ix = V - 3 ...(i)
Also, 10 = 2Ix + V
or, V = 10 - 2Ix ...(ii)
Putting V from equation (ii) into equation (i),
3I= 10 - 2Ix - 3
or, 5Ix = 7
or, 

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