Solving Superposition Theorem for I(R1)

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SUMMARY

The discussion centers on solving for the current I(R1) in a circuit using the Superposition Theorem. The user initially calculates I'(R1) as 3.3mA by considering only the voltage source and I''(R1) as 3mA by considering only the current source, leading to a total of I(R1) = 6.3mA. However, the correct answer is indicated to be 3.3mA, suggesting a miscalculation due to neglecting the 20-ohm resistor and incorrectly combining voltage sources. The recommendation is to analyze the circuit by evaluating each source individually.

PREREQUISITES
  • Understanding of the Superposition Theorem in circuit analysis
  • Familiarity with Ohm's Law and basic circuit components
  • Ability to analyze circuits with both voltage and current sources
  • Knowledge of series and parallel resistor combinations
NEXT STEPS
  • Review the Superposition Theorem in electrical engineering
  • Practice circuit analysis with multiple sources using the Superposition Theorem
  • Learn about the impact of resistors in series and parallel configurations
  • Explore techniques for verifying circuit calculations through simulation tools like LTspice
USEFUL FOR

Electrical engineering students, circuit designers, and anyone studying circuit analysis techniques, particularly those focusing on the Superposition Theorem.

frostchaos123
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Homework Statement



Hi all

I have been struggling to find the right ans for the I(R1) in this circuit.

First i consider only the voltage source by opening the current source. As such i find that I'(R1) = (4-0.7)/1K = 3.3mA

Secondly i consider the current source by shorting the voltage source. Thus i derive I''(R1) = 3mA

Finally i get I(R1) = I'(R1) + I''(R1) = 3.3m + 3m = 6.3mA

However the ans seems to indicate as only 3.3mA.

Please help to see if my reasoning is correct.

Thanks.
[PLAIN]http://img823.imageshack.us/img823/8508/circuit.png
 
Last edited by a moderator:
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You've neglected the 20-ohm resistor completely. Try recalculating everything taking it into account.
 
When you shorted the voltage source, I think you assumed you could combine the two voltage sources together like you did in the first part of the calculation, but you cant. Try calculating the current through R1 just one source at a time - the current source, V1, then V2.
 

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