MHB Current Equivalence at a Circuit Node

Click For Summary
The discussion focuses on applying Kirchhoff's Current Law (KCL) to a specific circuit node. It explains that the incoming current through resistor R1 must equal the sum of the outgoing currents through the capacitor, a non-linear resistor, and an inductor. The equation presented, \(\frac{e - v_c}{R_1} = C\frac{dv_c}{dt} + f(v_c) + i_L\), represents this balance of currents. Participants seek clarification on the specific currents and node referenced in the explanation. Understanding these relationships is crucial for analyzing circuit behavior accurately.
Dustinsfl
Messages
2,217
Reaction score
5
Given the circuit below:

4BotojH.png


Why does KCL equate to
\[
\frac{e - v_c}{R_1} = C\frac{dv_c}{dt} + f(v_c) + i_L
\]
 
Mathematics news on Phys.org
dwsmith said:
Given the circuit below:

4BotojH.png


Why does KCL equate to
\[
\frac{e - v_c}{R_1} = C\frac{dv_c}{dt} + f(v_c) + i_L
\]

KCL says that in any node current in equals current out.

In the node at the top, the current through $R_1$ is coming in, which must therefore be equal to the current going out and into the capacitor plus the current through the non-linear resistor plus the current through the coil.
 
I like Serena said:
KCL says that in any node current in equals current out.

In the node at the top, the current through $R_1$ is coming in, which must therefore be equal to the current going out and into the capacitor plus the current through the non-linear resistor plus the current through the coil.

I still don't quite understand. Can you be more specific by node at the top and the currents you mention?
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 14 ·
Replies
14
Views
488
  • · Replies 10 ·
Replies
10
Views
810
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K