If the resistance of a wire is doubled, what happens to the current flowing thro

Practice Questions

Q1
If the resistance of a wire is doubled, what happens to the current flowing through it when the voltage remains constant?
  1. Doubles
  2. Halves
  3. Remains the same
  4. Increases by 50%

Questions & Step-by-Step Solutions

If the resistance of a wire is doubled, what happens to the current flowing through it when the voltage remains constant?
Correct Answer: Current decreases.
  • Step 1: Understand Ohm's Law, which states that Current (I) = Voltage (V) / Resistance (R).
  • Step 2: Identify that in this scenario, the voltage (V) is constant.
  • Step 3: Recognize that if the resistance (R) is doubled, the new resistance becomes 2R.
  • Step 4: Substitute the new resistance into Ohm's Law: I = V / (2R).
  • Step 5: Notice that the current (I) is now half of what it was before because you are dividing the same voltage by a larger number (2R).
  • Step 6: Conclude that if the resistance is doubled while the voltage remains constant, the current flowing through the wire decreases.
  • Ohm's Law – Ohm's Law states that current (I) is directly proportional to voltage (V) and inversely proportional to resistance (R), expressed as I = V/R.
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