What is the effect on the total resistance when a resistor is added in parallel

Practice Questions

Q1
What is the effect on the total resistance when a resistor is added in parallel to an existing resistor?
  1. Increases
  2. Decreases
  3. Remains the same
  4. Doubles

Questions & Step-by-Step Solutions

What is the effect on the total resistance when a resistor is added in parallel to an existing resistor?
  • Step 1: Understand what resistance is. Resistance is a measure of how much a material opposes the flow of electric current.
  • Step 2: Know that resistors can be connected in two ways: in series (one after another) or in parallel (side by side).
  • Step 3: When resistors are in parallel, the total resistance is less than the smallest individual resistor.
  • Step 4: Use the formula for total resistance in parallel: 1/R_total = 1/R1 + 1/R2 + ... + 1/Rn, where R1, R2, ..., Rn are the resistances of the individual resistors.
  • Step 5: When you add another resistor in parallel, you are adding another term to the formula, which makes the total resistance smaller.
  • Step 6: Therefore, adding a resistor in parallel decreases the total resistance of the circuit.
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