How does this short circuit affect this circuit?

Click For Summary
SUMMARY

The discussion centers on the behavior of a circuit with a short circuit condition when a switch is closed. Specifically, the 3 ohm resistor can be short-circuited, but the 25V voltage source remains unaffected by the short circuit. When the switch closes, it isolates the left and right sides of the circuit, allowing them to operate independently. This understanding is crucial for analyzing circuit behavior as time approaches infinity.

PREREQUISITES
  • Understanding of circuit theory and components, specifically resistors and voltage sources.
  • Familiarity with the concept of short circuits in electrical circuits.
  • Knowledge of circuit analysis techniques, including redrawing circuits for clarity.
  • Basic grasp of time-dependent circuit behavior as it relates to switching events.
NEXT STEPS
  • Study the principles of circuit isolation and its effects on circuit analysis.
  • Learn about the implications of closing switches in electrical circuits.
  • Explore the concept of ideal voltage sources and their behavior in short circuit conditions.
  • Investigate advanced circuit analysis techniques, such as Thevenin's and Norton's theorems.
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing or designing electrical circuits, particularly in understanding short circuit conditions and their effects on circuit functionality.

Vishera
Messages
72
Reaction score
1

Homework Statement



Q85LpyG.png


Homework Equations





The Attempt at a Solution



I am trying to find the value for i as i→∞. Since ∞>0, I must look at the circuit when t>0. However, when t>0, there is a short circuit. I know that you can short circuit resistors so I can easily short circuit the 3 ohm resistor but what about the 25V voltage source? Isn't short circuiting an ideal voltage source a contradiction because both ends of the voltage source have the same voltage but the entire point of a voltage source is to produce a voltage difference between the two ends?
 
Physics news on Phys.org
Vishera said:

Homework Statement



Q85LpyG.png


Homework Equations





The Attempt at a Solution



I am trying to find the value for i as i→∞. Since ∞>0, I must look at the circuit when t>0. However, when t>0, there is a short circuit. I know that you can short circuit resistors so I can easily short circuit the 3 ohm resistor but what about the 25V voltage source? Isn't short circuiting an ideal voltage source a contradiction because both ends of the voltage source have the same voltage but the entire point of a voltage source is to produce a voltage difference between the two ends?

When that switch closes, it shorts the middle part of the circuit. It does not directly short the 25V source, which would be a bad thing as you say.

Just re-draw the circuit with the switch closed. See how the short basically isolates the left and right sides of the circuit? After the switch is closed, the left and right sides of the circuit operate independently.
 
  • Like
Likes   Reactions: 1 person

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
Replies
15
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K