How Do You Apply Kirchhoff's Current Law to Find vx and ix in This Circuit?

In summary, Kirchhoff's Current Law, also known as Kirchhoff's First Law or the Kirchhoff's Junction Rule, states that the total current entering a junction in a circuit must be equal to the total current leaving the junction. This principle is essential in circuit analysis and design as it helps to determine unknown currents and voltage drops and ensures the conservation of charge. Kirchhoff's Current Law is applied by setting up equations for currents at a junction and cannot be violated as it is based on the principle of conservation of charge. It is related to Kirchhoff's Voltage Law, which deals with the conservation of energy around a closed loop in a circuit.
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Homework Statement



[PLAIN]http://img24.imageshack.us/img24/4168/circuitv.png

Find vx and ix.


Homework Equations



Kirchhoff's Current Law: The algebraic sum of the currents entering a node is zero at any instant:

Σi = i1 + i2 +... iN = 0

The Attempt at a Solution


Since it's a current-driven circuit and ix points in the opposite direction of is,

ix = -is, where "is" is the current source.

We know that is = 2 mA, so... ix = -2 mA

... and vx = ixR
so vx = (-2 mA)(47 k ohms) = -94V

Is this right?
 
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FAQ: How Do You Apply Kirchhoff's Current Law to Find vx and ix in This Circuit?

What is Kirchhoff's Current Law?

Kirchhoff's Current Law, also known as Kirchhoff's First Law or the Kirchhoff's Junction Rule, states that the total current entering a junction in a circuit must be equal to the total current leaving the junction.

What is the importance of Kirchhoff's Current Law?

Kirchhoff's Current Law is an essential principle in circuit analysis and design. It helps to determine the unknown currents and voltage drops in a circuit and ensures the conservation of charge at a junction.

How is Kirchhoff's Current Law applied in circuits?

Kirchhoff's Current Law is applied by setting up equations for the currents entering and leaving a junction in a circuit. By using these equations, the unknown currents can be solved for and the overall behavior of the circuit can be analyzed.

Can Kirchhoff's Current Law be violated?

No, Kirchhoff's Current Law is a fundamental law of physics and cannot be violated. The law is based on the principle of conservation of charge, which states that charge cannot be created or destroyed, only conserved.

How does Kirchhoff's Current Law relate to Kirchhoff's Voltage Law?

Kirchhoff's Current Law and Kirchhoff's Voltage Law are two fundamental principles used in circuit analysis. While Kirchhoff's Current Law deals with the conservation of charge at a junction, Kirchhoff's Voltage Law deals with the conservation of energy around a closed loop in a circuit.

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