11.4 Kirchhoff's Laws

• Kirchhoff's Junction Rule applies to any point in a circuit where currents converge.

  True
• Kirchhoff's Loop Rule states that the sum of all voltage drops around a closed loop in a circuit must equal zero.


  True
• Kirchhoff's Loop Rule is used to analyze voltage in a closed circuit loop.
• In a circuit with a 12V battery and two resistors, R1 = 4Ω and R2 = 8Ω, what is the current flowing through the circuit?

  1A
• In a circuit with a 12V battery and two resistors, the sum of the voltage drops across the resistors must equal 12V
• Kirchhoff's Junction Rule states that the sum of currents entering a junction equals the sum of currents leaving
• Steps to solve circuits using Kirchhoff's Laws:

  1️⃣ Draw the circuit diagram

  2️⃣ Apply Kirchhoff's Junction Rule

  3️⃣ Apply Kirchhoff's Loop Rule

  4️⃣ Solve the system of equations
• When applying Kirchhoff's Laws to complex circuits, it is essential to ensure the sum of voltage drops around a closed loop equals zero.


  True
• Match the Kirchhoff's Laws with their definitions:

  Kirchhoff's Junction Rule ↔️ Sum of currents entering a junction equals the sum of currents leaving

  Kirchhoff's Loop Rule ↔️ Sum of voltage drops around a closed loop equals zero
• What does Kirchhoff's Loop Rule state about voltage drops in a closed loop?

  Sum of voltage drops equals zero
• Kirchhoff's Loop Rule is used to analyze voltage in a closed circuit loop.
• The voltage drop across R1 in the example is 4V.
• In a circuit with a 12V battery and two resistors, R1 = 4Ω and R2 = 8Ω, what is the current in the circuit?

  1A
• Kirchhoff's Junction Rule is based on the conservation of charge.


  True
• When solving circuits with Kirchhoff's Laws, the Junction Rule is applied at key nodes
• To solve complex circuits using Kirchhoff's Laws, one must first draw the circuit diagram
• Kirchhoff's Junction Rule is based on the principle of conservation of charge
• Kirchhoff's Loop Rule is based on the principle of conservation of energy
• What is the basis of Kirchhoff's Loop Rule?

  Conservation of energy
• What is the primary application of Kirchhoff's Junction Rule?

  Analyzing current at a junction
• Kirchhoff's Loop Rule states that the sum of all voltage drops around a closed loop in a circuit must equal zero.


  True
• Kirchhoff's Loop Rule is based on the principle of conservation of energy.

  True
• What is the voltage drop across R2 in a circuit with a 12V battery, R1 = 4Ω, and R2 = 8Ω?

  8V
• Match the Kirchhoff's Law with its basis:

  Junction Rule ↔️ Conservation of charge

  Loop Rule ↔️ Conservation of energy
• In a two-loop circuit, what are the approximate values of I1 and I2 after solving the system of equations?

  I1 ≈ 2.13A, I2 ≈ -1.07A
• What does Kirchhoff's Junction Rule state about currents at a junction?

  Sum of currents in equals sum of currents out
• On what principle is Kirchhoff's Junction Rule based?

  Conservation of charge
• Order the steps to apply Kirchhoff's Laws to solve a circuit:

  1️⃣ Identify the loops in the circuit

  2️⃣ Apply Kirchhoff's Loop Rule to each loop

  3️⃣ Identify the junctions in the circuit

  4️⃣ Apply Kirchhoff's Junction Rule to each junction

  5️⃣ Solve the resulting system of equations
• Kirchhoff's Junction Rule is based on the principle that the total charge flowing into a junction must equal the total charge flowing out.


  True
• What is the basis of Kirchhoff's Loop Rule?

  Conservation of energy
• What does Kirchhoff's Loop Rule state about the sum of voltage drops around a closed loop in a circuit?

  Sum equals zero
• What is the voltage drop across R1 in a circuit with a 12V battery, R1 = 4Ω, and R2 = 8Ω?

  4V
• Kirchhoff's Loop Rule is used to analyze voltage in a closed circuit loop
• In a two-loop circuit, what is the equation for Loop 1 if it includes a 12V battery, a 4Ω resistor, and a 6Ω resistor in series?

  12V - 4Ω * I1 - 6Ω * (I1 - I2) = 0
• Match the Kirchhoff's Law with its example in a two-loop circuit:

  Junction Rule ↔️ At the junction, I1 = I2 + I3

  Loop Rule ↔️ In Loop 1: 12V - 4Ω * I1 - 6Ω * (I1 - I2) = 0