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In a circuit with two resistors in parallel, if one resistor is 4Ω and the other

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Question: In a circuit with two resistors in parallel, if one resistor is 4Ω and the other is 12Ω, what is the total current flowing through the circuit when connected to a 24V battery?

Options:

  1. 2A
  2. 3A
  3. 4A
  4. 6A

Correct Answer: 6A

Solution: 

First, find the equivalent resistance: 1/R_eq = 1/4 + 1/12 = 1/3. R_eq = 3Ω. Then, I = V/R = 24V / 3Ω = 8A.

In a circuit with two resistors in parallel, if one resistor is 4Ω and the other

Practice Questions

Q1
In a circuit with two resistors in parallel, if one resistor is 4Ω and the other is 12Ω, what is the total current flowing through the circuit when connected to a 24V battery?
  1. 2A
  2. 3A
  3. 4A
  4. 6A

Questions & Step-by-Step Solutions

In a circuit with two resistors in parallel, if one resistor is 4Ω and the other is 12Ω, what is the total current flowing through the circuit when connected to a 24V battery?
Correct Answer: 8A
  • Step 1: Identify the resistors in the circuit. We have one resistor of 4Ω and another of 12Ω.
  • 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 = 1/4 + 1/12.
  • Step 4: Find a common denominator to add the fractions. The common denominator for 4 and 12 is 12.
  • Step 5: Rewrite the fractions: 1/4 = 3/12 and 1/12 = 1/12.
  • Step 6: Add the fractions: 1/R_eq = 3/12 + 1/12 = 4/12.
  • Step 7: Simplify the fraction: 4/12 = 1/3, so R_eq = 3Ω.
  • Step 8: Now, use Ohm's Law to find the total current: I = V/R.
  • Step 9: Substitute the values: I = 24V / 3Ω.
  • Step 10: Calculate the current: I = 8A.
  • Parallel Resistors – Understanding how to calculate equivalent resistance for resistors in parallel.
  • Ohm's Law – Applying Ohm's Law (I = V/R) to find the total current in the circuit.
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