What is the equivalent resistance of three resistors of 2 ohms, 3 ohms, and 6 ohms connected in series?
Practice Questions
1 question
Q1
What is the equivalent resistance of three resistors of 2 ohms, 3 ohms, and 6 ohms connected in series?
1 ohm
3 ohms
11 ohms
12 ohms
In series, the equivalent resistance is the sum of the individual resistances: R_eq = R1 + R2 + R3 = 2 + 3 + 6 = 11 ohms.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the equivalent resistance of three resistors of 2 ohms, 3 ohms, and 6 ohms connected in series?
Solution: In series, the equivalent resistance is the sum of the individual resistances: R_eq = R1 + R2 + R3 = 2 + 3 + 6 = 11 ohms.
Steps: 6
Step 1: Identify the resistors and their values. We have three resistors: R1 = 2 ohms, R2 = 3 ohms, and R3 = 6 ohms.
Step 2: Understand that when resistors are connected in series, the total or equivalent resistance (R_eq) is found by adding the individual resistances together.
Step 3: Write the formula for equivalent resistance in series: R_eq = R1 + R2 + R3.
Step 4: Substitute the values of the resistors into the formula: R_eq = 2 + 3 + 6.
Step 5: Perform the addition: 2 + 3 = 5, then 5 + 6 = 11.
Step 6: Conclude that the equivalent resistance of the three resistors in series is 11 ohms.
