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If a 15Ω resistor is connected in parallel with a 30Ω resistor, what is the equi
If a 15Ω resistor is connected in parallel with a 30Ω resistor, what is the equivalent resistance? (2021)
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Practice Questions
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Q1
If a 15Ω resistor is connected in parallel with a 30Ω resistor, what is the equivalent resistance? (2021)
10Ω
7.5Ω
5Ω
12Ω
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For resistors in parallel, 1/R_eq = 1/R1 + 1/R2 = 1/15 + 1/30 = 2/30 + 1/30 = 3/30. Therefore, R_eq = 30/3 = 10Ω.
Questions & Step-by-step Solutions
1 item
Q
Q: If a 15Ω resistor is connected in parallel with a 30Ω resistor, what is the equivalent resistance? (2021)
Solution:
For resistors in parallel, 1/R_eq = 1/R1 + 1/R2 = 1/15 + 1/30 = 2/30 + 1/30 = 3/30. Therefore, R_eq = 30/3 = 10Ω.
Steps: 9
Show Steps
Step 1: Identify the resistors in parallel. We have a 15Ω resistor (R1) and a 30Ω resistor (R2).
Step 2: Use the formula for equivalent resistance in parallel: 1/R_eq = 1/R1 + 1/R2.
Step 3: Substitute the values into the formula: 1/R_eq = 1/15 + 1/30.
Step 4: Find a common denominator for the fractions. The common denominator for 15 and 30 is 30.
Step 5: Rewrite the fractions: 1/15 becomes 2/30, so now we have 1/R_eq = 2/30 + 1/30.
Step 6: Add the fractions: 2/30 + 1/30 = 3/30.
Step 7: Now, we have 1/R_eq = 3/30. To find R_eq, take the reciprocal of both sides.
Step 8: R_eq = 30/3.
Step 9: Calculate 30/3 to find R_eq: R_eq = 10Ω.
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