Voltage and current calculation of circuit

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Discussion Overview

The discussion revolves around calculating voltages and currents in a specific electrical circuit, involving the application of circuit analysis techniques. Participants explore various methods to solve the circuit equations and clarify the behavior of components under different conditions.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents a set of equations to calculate currents I2 and I3, expressing uncertainty about the correctness of their calculations and questioning the direction of current I3.
  • Another participant notes a discrepancy between expected and simulated voltage values at a node, indicating confusion about the circuit behavior.
  • A suggestion is made to replace transient analysis with DC operating point analysis to obtain node voltages and component currents, highlighting the importance of current direction in visualizing flow.
  • One participant claims that removing a resistor (R3) simplifies the circuit analysis, leading to a solution that matches simulation results, but questions the necessity of this step.
  • Another participant discusses the assumption that the voltage across the current source is zero, proposing an alternative analysis using Thevenin resistance to explain the voltage at a specific node.
  • A later reply suggests adjusting the sign in a loop equation to align with the direction of the current source, indicating a potential path to resolving the calculations.

Areas of Agreement / Disagreement

Participants express various viewpoints on the circuit analysis methods and the implications of component configurations. No consensus is reached regarding the necessity of removing R3 or the assumptions made about voltage across the current source.

Contextual Notes

Participants reference specific circuit configurations and analysis techniques, but there are unresolved assumptions regarding current directions and the impact of component arrangements on the results.

Who May Find This Useful

This discussion may be of interest to individuals studying circuit analysis, electrical engineering students, or practitioners seeking to understand the complexities of current and voltage calculations in circuits.

PhysicsTest
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Homework Statement
Need to calculate the voltage and current for a circuit
Relevant Equations
KCL and KVL equations , V=IR
I am trying to find voltages and currents of the below circuit,

3.3 -22000*I2 - 2200(I2-I3) = 0
3.3 -24200*I2 + 2200*I3 = 0 -> eq1

-(10 - I3)*1500 - (I2 - I3)*2200 = 0
-15000 + 1500*I3 - 2200*I2 + 2200*I3=0
-15000 - 2200*I2 + 3700*I3=0 -> eq2

Solving equations 1 and 2 i get I2=0.38 Amps and I3 = 4.28 Amps
1674367119007.png


I assume i have completely gone wrong in calculations, can current I3 flow into the source. Please help.
 

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If current 10 Amps flows through R3 then the voltage at vout1 shall be 1.5K*10 Volts = 15K volts, but if i see the simulation results it shows 20K Volts
1674369421048.png

It is all confusion.
 
Replace your .Transient analysis with a .DC operating point analysis. That will give you the voltages at all nodes and the currents in all components.

You may have to turn a passive component around to get that loop current flowing with the correct sign in the .DC report.

The arrow on the current source is conventional current. Your I3 arrow is in the opposite direction, which makes visualisation of the current flow more difficult.

You can replace R3 with a short circuit because it is in series with a current source.
 
Baluncore said:
You can replace R3 with a short circuit because it is in series with a current source.
This helped me to solve the problem
The updated circuit is
1674376709746.png

3.3 - 22000*I2 -2200*(10+I2) = 0
solving I2 = -0.90 Amps
Vout1=20K Volts it matches with the simulation results
--- Operating Point ---

V(n001): 3.3 voltage
V(vout1): 20000.3 voltage
I(I1): 10 device_current
I(R2): 9.09105 device_current
I(R1): -0.908955 device_current
I(V1): 0.908955 device_current

Still my question is why do i need to remove R3 to get result?
 
PhysicsTest said:
If current 10 Amps flows through R3 then the voltage at vout1 shall be 1.5K*10 Volts = 15K volts, but if i see the simulation results it shows 20K Volts
I think you were assuming the voltage across the current source was zero.
You were looking at the 10 amp through the 1k5 when it actually flows through the Thevenin resistance of Vout.

Another way to analyse it:
Node(2) has Thevenin resistance; Rth = (22k//2k2) = 2k000
3.3V * 2k2 / ( 22k + 2k2 ) = +0.300 volt;
Then add the (10A * 2k000) = 2000V;
To get node(Vout1), V(out) = +2000.300 V.
 
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If you would change your sign for loop2 like Baluncore wrote, I think you would arrive at the solution. The current source being in the positive direction.

(10-I3)*1500 + (I2-I3)*2200=0
 

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