Circuit Analysis: Find V_0 for R_eq = 3kOhm and I_s = 6mA

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Discussion Overview

The discussion revolves around a circuit analysis problem where participants are tasked with finding the voltage V_0 given a specific equivalent resistance (R_eq) and current source (I_s). The context includes homework-related inquiries and the application of circuit laws such as Ohm's Law, Kirchhoff's Voltage Law (KVL), and Kirchhoff's Current Law (KCL).

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant suggests using Ohm's Law (V = IR) to find V_0 but questions if the open circuit condition affects the calculation.
  • Another participant asserts that the problem requires finding the potential difference between two nodes and indicates that the initial calculation of R_eq may be incorrect.
  • A different participant proposes a series and parallel combination of resistors leading to a new equivalent resistance and calculates V_0 as 12V based on that value.
  • One participant confirms the correctness of the last calculation for V_0 and offers assistance with additional problems if the participant shares their work.

Areas of Agreement / Disagreement

There is no consensus on the correct value of R_eq, as participants present different calculations and approaches. The discussion remains unresolved regarding the initial assumptions about the circuit configuration.

Contextual Notes

Participants express uncertainty about the impact of the open circuit condition on the voltage calculation and the correct method for combining resistors, indicating potential limitations in their understanding of circuit analysis.

Firestrider
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Homework Statement


Code:
|------|----a
|      |^   +
|      ||
R_eq   I_s  V_0
|      |
|      |    -
|------|----b

R_eq = 3kOhm
I_s = 6mA

Find V_0.


Homework Equations


Ohm's law: KVL, KCL


The Attempt at a Solution



Should this work just like any other circuit where V = IR? So V = (6 x 10^-3)(3 x 10^3) = 18? Or does it work differently since V_0 is an open circuit.


Here is the original problem:
 

Attachments

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It should work like any other circuit. This problem is asking for the difference in potential between the top node and bottom node of the circuit, which is labeled as V0. However, you are getting the wrong answer because your Req is off. Try recombining the resistors again and you should get it. :smile:
 
Ok well the first two circuits on the left can connect in series to make 6kohm, then the circuits can connect in parallel to make 4kohm, then connect in series to make 6kohm, and then in parallel again to make 2kohm.

So, V_0 = 6 x 10^-3 * 2 x 10^3 = 12V?

I have 2 other problems attached. I'm not sure how to go about them. I know KVL, KCL, and Ohm's law.

I also know if resistors are in series I can do a voltage divider and if resistors are in parallel I can do a current divider.
 

Attachments

  • CAp1.JPG
    CAp1.JPG
    10.9 KB · Views: 460
  • CAp3.JPG
    CAp3.JPG
    11.9 KB · Views: 436
Last edited:
Yes, your solution for the first one is correct.

If you make an attempt on the other 2 problems and post some work, I can try to help you once the images are approved.
 

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