If the resistance of a wire is doubled, what happens to the current if the volta

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Question: If the resistance of a wire is doubled, what happens to the current if the voltage remains constant? (2021)

Options:

Correct Answer: Halves

Exam Year: 2021

Solution:

According to Ohm\'s Law (I = V/R), if the resistance (R) is doubled while the voltage (V) remains constant, the current (I) will be halved.

If the resistance of a wire is doubled, what happens to the current if the voltage remains constant? (2021)

If the resistance of a wire is doubled, what happens to the current if the voltage remains constant? (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) is constant, meaning it does not change.
Step 3: Recognize that if the resistance (R) is doubled, we can represent 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) through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor.