Kirchnoff's Laws Current/Voltage

K-Law: 1 in, 2 out

A fundamental principle in electrical circuit theory that relates the current and voltage in a circuit. It includes two laws: Kirchhoff's Current Law (KCL), which states that the total current entering a junction equals the total current leaving, and Kirchhoff's Voltage Law (KVL), which states that the sum of the electrical potential differences around any closed circuit is zero.

K-Law: 4 in

A configuration in electrical circuits where two currents flow in from a junction, adhering to Kirchhoff's Current Law by ensuring that the total current entering equals the sum of the currents leaving.

K-Law: 3 out

A configuration in electrical circuits where three currents flow out of a junction, adhering to Kirchhoff's Current Law by ensuring that the total current entering equals the sum of the currents leaving.

Kirchhoff’s Laws Voltage Law

Kirchhoff’s Voltage Law (KVL)—Flashcard Summary

Definition: The sum of all voltage changes (rises and drops) around any closed loop in a circuit is zero.

Key Concepts:

• Voltage Rise: Increase in voltage (e.g., across a battery from 0V to 10V)

• Voltage Drop: Decrease in voltage (e.g., across a resistor from 10V to 0V)

• Loop Rule: Sum (voltage rise) - Sum(voltage drop) = 0

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Example 1 (Single Resistor):

• 10V rise across battery

• 10V drop across 200Ω resistor

• Net change: 10−10=0

Example 2 (Two Resistors):

• 10V rise across battery

• 5V drop across each 100Ω resistor

• Net change: 10−5−5=0

Direction Doesn’t Matter: You can start at any node and go clockwise or counterclockwise—the total voltage change will always sum to zero.

Why It Matters: KVL is one of the two foundational tools (along with Kirchhoff’s Current Law) for analyzing electrical circuits.

Conventional.

Conventional current flowing through the cell has a positive voltage (gains energy). Current going through a resistor has a negative voltage (loses energy).

Loop from negative to positive, Current 2 goes out junction but is in similar path as the other current and voltage in loop 

-V= - Current i * R - Current i i * R   

^^^or^^^  0= V - Current  i * R - Current i i       ^^^^ given KVL 

AVOID SYSTEM OF EQUATIONS (LOOP 1 - LOOP 2) IF LOOPS SHARE A CURRENT