Engineering How do I know that ##i_x = 0## ?

  • Thread starter Thread starter link223
  • Start date Start date
AI Thread Summary
The discussion clarifies that when a resistor is short-circuited, such as the 4-ohm resistor in question, it does not change its resistance value but instead has zero current flowing through it due to the parallel short circuit. The voltage across the 4-ohm resistor is zero, confirming that no current is present. Participants emphasize that while the resistor remains intact, the presence of a short circuit means current bypasses the resistor entirely. This distinction helps resolve confusion about the behavior of resistors in parallel with short circuits. Understanding this concept is crucial for analyzing circuit behavior accurately.
link223
Messages
70
Reaction score
12
Homework Statement
How do I know that ##i_x = 0 ~ ?## Is it because of the fact that resistor, source and dependent current source are in parallel? If that is not the reason, what is?

Thanks in advance.
Relevant Equations
Norton's theorem
I was first thinking that i_x is zero because the 4 ohms resistor can be ignored because it is parallel with a short circuit, but I assumed that only the resistance is zero whilst i_x flows through and that is what'd make the voltage across 4-ohms resistor to be zero.
1650710254845.png
 
Physics news on Phys.org
In figure 4.44(a), the voltage across the 4-ohm resistor is zero. Therefore, there is no current flowing through the 4-ohm resistor. The resistance of that 4-ohm resistor has not changed. It is simply short-circuited.
 
Ahaaa got it, thank you!
Just to make sure, So when I have a short circuit parallel to a resistor, the resistor will basically always stay intact, whilst the current will be zero on the other hand.

I was kind of confused, because we say the 4-ohms resistor is short-circuited from which I derive that it acts as a short circuit i.e. current can freely run through that branch(/resistor) which is basically not the case at all.
 

Similar threads

Replies
3
Views
2K
Replies
9
Views
2K
Replies
3
Views
2K
Replies
13
Views
2K
Replies
3
Views
8K
Replies
10
Views
3K
Replies
15
Views
2K
Back
Top