In a circuit, if the resistance is doubled while the voltage remains constant, w

Practice Questions

Q1
In a circuit, if the resistance is doubled while the voltage remains constant, what happens to the current? (2021)
  1. It doubles
  2. It halves
  3. It remains the same
  4. It quadruples

Questions & Step-by-Step Solutions

In a circuit, if the resistance is doubled while the voltage remains constant, what happens to the current? (2021)
  • 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) remains constant.
  • Step 3: Recognize that if the resistance (R) is doubled, we can express this as R' = 2R, where R' is the new resistance.
  • Step 4: Substitute the new resistance into Ohm's Law: I' = V/R' = V/(2R).
  • Step 5: Simplify the equation: I' = (V/R) / 2 = I/2, where I is the original current.
  • Step 6: Conclude that if the resistance is doubled while the voltage remains constant, the current is halved.
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