Current Source in Parallel with Short Circuit

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SUMMARY

A 2 Amp current source in parallel with a short circuit is not self-contradictory, as confirmed by circuit theory principles. An ideal current source maintains a constant current regardless of the load, resulting in zero voltage across a short circuit, which aligns with Ohm's Law (V=IR). The voltage difference across zero resistance is indeed zero, supporting the validity of this configuration without violating Kirchhoff's Voltage Law (KVL). Understanding these concepts clarifies the operation of current sources in parallel with short circuits.

PREREQUISITES
  • Understanding of Kirchhoff's Voltage Law (KVL)
  • Familiarity with Kirchhoff's Current Law (KCL)
  • Knowledge of Ohm's Law (V=IR)
  • Basic principles of ideal current sources
NEXT STEPS
  • Study the behavior of ideal current sources in various circuit configurations
  • Explore advanced applications of Kirchhoff's Laws in circuit analysis
  • Learn about the implications of short circuits in electrical systems
  • Investigate real-world examples of current sources and their limitations
USEFUL FOR

Electrical engineering students, circuit designers, and anyone interested in understanding the principles of current sources and circuit analysis.

nickadams
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Homework Statement



Which of the following are self-contradictory combinations of circuit elements?

- A 2 Amp current source in parallel with a short circuit.

Homework Equations



KVL- "the sum of voltages around a closed loop amounts to 0.
KCL- "the current into a node equals the current out of a node.
Ohm's Law- V= IR

The Attempt at a Solution



The answer key says this is not contradictory, but I don't see how we can have such a circuit... If we had a short circuit parallel to a current source wouldn't all the current go into that short circuit branch and ignore the other branches? Then we'd just have a loop of 2 Amp current with no voltage drop... Why wouldn't that violate KVL?
 
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An ideal current source provides a given current no matter what the load is. The voltage across it is equal to the generator current multiplied by the loading resistance, zero for a short-circuit. Where is contradiction?
 
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What are the other choices you're given?
 
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ehild said:
An ideal current source provides a given current no matter what the load is. The voltage across it is equal to the generator current multiplied by the loading resistance, zero for a short-circuit. Where is contradiction?

I just always thought that in order for current to flow between two points we need a voltage difference...

Bystander said:
What are the other choices you're given?

I understand the rest of them... It was only this one I was hung up on
 
nickadams said:
I just always thought that in order for current to flow between two points we need a voltage difference...

What is the voltage difference across zero resistance according to Ohm's Law?
 
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ehild said:
What is the voltage difference across zero resistance according to Ohm's Law?

V=IR so V=I*0=0. Ok I think I see now
 

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