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

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Question: If the resistance of a conductor is doubled, what happens to the current flowing through it when the voltage remains constant? (2022)

Options:

Correct Answer: Halves

Exam Year: 2022

Solution:

According to Ohm\'s law, I = V/R. If R is doubled, I will be halved.

If the resistance of a conductor is doubled, what happens to the current flowing through it when the voltage remains constant? (2022)

If the resistance of a conductor is doubled, what happens to the current flowing through it when the voltage remains constant? (2022)

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 represent the new resistance as 2R.
Step 4: Substitute the new resistance into Ohm's Law: I = V/(2R).
Step 5: Compare the new current (I) with the original current (I = V/R).
Step 6: Notice that I = V/(2R) is half of I = V/R, meaning the new current is half of the original current.
Step 7: Conclude that if the resistance is doubled while the voltage remains constant, the current flowing through the conductor is halved.

Ohm's Law – Ohm's Law states that the current (I) flowing 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.