In a parallel circuit with two resistors of 6 ohms and 3 ohms, what is the equivalent resistance?
Practice Questions
1 question
Q1
In a parallel circuit with two resistors of 6 ohms and 3 ohms, what is the equivalent resistance?
2 ohms
4 ohms
1.5 ohms
9 ohms
Using the formula for resistors in parallel, 1/R_eq = 1/R1 + 1/R2, we have 1/R_eq = 1/6 + 1/3 = 1/6 + 2/6 = 3/6. Therefore, R_eq = 6/3 = 2 ohms.
Questions & Step-by-step Solutions
1 item
Q
Q: In a parallel circuit with two resistors of 6 ohms and 3 ohms, what is the equivalent resistance?
Solution: Using the formula for resistors in parallel, 1/R_eq = 1/R1 + 1/R2, we have 1/R_eq = 1/6 + 1/3 = 1/6 + 2/6 = 3/6. Therefore, R_eq = 6/3 = 2 ohms.
Steps: 7
Step 1: Identify the resistors in the parallel circuit. We have R1 = 6 ohms and R2 = 3 ohms.
Step 2: Write down the formula for equivalent resistance in a parallel circuit: 1/R_eq = 1/R1 + 1/R2.
Step 3: Substitute the values of R1 and R2 into the formula: 1/R_eq = 1/6 + 1/3.
Step 4: Convert 1/3 to have a common denominator with 1/6. 1/3 = 2/6.
Step 5: Now add the fractions: 1/R_eq = 1/6 + 2/6 = 3/6.
Step 6: To find R_eq, take the reciprocal of 3/6. R_eq = 6/3.
Step 7: Simplify 6/3 to get the final answer: R_eq = 2 ohms.
