If the resistance of a circuit is doubled while the voltage remains constant, wh
Practice Questions
Q1
If the resistance of a circuit is doubled while the voltage remains constant, what happens to the current?
It doubles
It halves
It remains the same
It quadruples
Questions & Step-by-Step Solutions
If the resistance of a circuit is doubled while the voltage remains constant, what happens to the current?
Correct Answer: Current is 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) 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, which shows that the new current (I') is half of the original current (I).
Step 6: Conclude that if the resistance is doubled while the voltage remains constant, the current is 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).