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If a circuit contains a 9V battery and three resistors (R1 = 3Ω, R2 = 3Ω, R3 = 3

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Question: If a circuit contains a 9V battery and three resistors (R1 = 3Ω, R2 = 3Ω, R3 = 3Ω) in parallel, what is the total current supplied by the battery?

Options:

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

Correct Answer: 3A

Solution: 

The equivalent resistance for resistors in parallel is 1/R_total = 1/R1 + 1/R2 + 1/R3 = 1/3 + 1/3 + 1/3 = 1Ω. The total current is I = V/R_total = 9V / 1Ω = 9A.

If a circuit contains a 9V battery and three resistors (R1 = 3Ω, R2 = 3Ω, R3 = 3

Practice Questions

Q1
If a circuit contains a 9V battery and three resistors (R1 = 3Ω, R2 = 3Ω, R3 = 3Ω) in parallel, what is the total current supplied by the battery?
  1. 1A
  2. 2A
  3. 3A
  4. 4A

Questions & Step-by-Step Solutions

If a circuit contains a 9V battery and three resistors (R1 = 3Ω, R2 = 3Ω, R3 = 3Ω) in parallel, what is the total current supplied by the battery?
Correct Answer: 9A
  • Step 1: Identify the values given in the problem. We have a 9V battery and three resistors, each with a resistance of 3Ω (R1, R2, R3).
  • Step 2: Understand that the resistors are in parallel. This means we will use the formula for equivalent resistance in parallel circuits.
  • Step 3: Write the formula for equivalent resistance in parallel: 1/R_total = 1/R1 + 1/R2 + 1/R3.
  • Step 4: Substitute the values of the resistors into the formula: 1/R_total = 1/3 + 1/3 + 1/3.
  • Step 5: Calculate the right side of the equation: 1/3 + 1/3 + 1/3 = 3/3 = 1.
  • Step 6: This means 1/R_total = 1, so R_total = 1Ω.
  • Step 7: Now, use Ohm's Law to find the total current supplied by the battery. The formula is I = V/R_total.
  • Step 8: Substitute the values into the formula: I = 9V / 1Ω.
  • Step 9: Calculate the total current: I = 9A.
  • Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in an electrical circuit, expressed as I = V/R.
  • Resistors in Parallel – The method of calculating equivalent resistance for resistors connected in parallel, where the total resistance is less than the smallest individual resistor.
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