If the resistance in a circuit is doubled while keeping the voltage constant, wh

Practice Questions

Q1
If the resistance in a circuit is doubled while keeping the voltage constant, what happens to the current?
  1. It doubles.
  2. It halves.
  3. It remains the same.
  4. It quadruples.

Questions & Step-by-Step Solutions

If the resistance in a circuit is doubled while keeping the voltage constant, what happens to the current?
Correct Answer: Current will be halved.
  • Step 1: Understand Ohm's Law, which states that Current (I) equals Voltage (V) divided by Resistance (R). This can be written as I = V/R.
  • Step 2: Identify that in this scenario, the voltage (V) is constant, meaning it does not change.
  • Step 3: Recognize that if the resistance (R) is doubled, we can represent this as R becoming 2R.
  • Step 4: Substitute the new resistance into Ohm's Law: I = V/(2R).
  • Step 5: Compare this with the original equation I = V/R. Notice that I = V/(2R) is half of I = V/R.
  • Step 6: Conclude that if the resistance is doubled while keeping the voltage constant, the current will be halved.
  • Ohm's Law – Ohm's Law states that the current (I) in a circuit is directly proportional to the voltage (V) and inversely proportional to the resistance (R).
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