Let's analyze the resistor connections based on the circuit diagrams and answer the questions.

Question 1: Which of the resistor pairs are in series?

Series resistors share the same current and are connected end-to-end without branching.

• R₁ & R₂ are in series.
• R₄ & R₅ are not in series because there's a node between them.
• R₆ & R₇ are in parallel, not series.

Correct answer:
✅ Both R₁ & R₂ and R₃ & R₄

Question 2: Which of the resistor pairs are in parallel?

Parallel resistors share the same voltage and are connected at both ends.

• R₆ & R₇ are in parallel.
• R₄ & R₅ are not in parallel.
• R₃ & R₅ are not in parallel.

Correct answer:
✅ Both R₄ & R₅ and R₆ & R₇

Would you like an explanation of how to identify series and parallel resistors in more detail?

Here are five related questions to deepen your understanding:

1. What is the formula for calculating equivalent resistance in a series circuit?
2. How do you calculate the equivalent resistance for parallel resistors?
3. How does adding more resistors in series affect the total resistance?
4. What happens to the total resistance when adding more resistors in parallel?
5. How can Kirchhoff’s Voltage Law (KVL) and Kirchhoff’s Current Law (KCL) help analyze complex resistor networks?

💡 Tip: In a series circuit, current remains constant, while in a parallel circuit, voltage remains constant.