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

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Question: If the resistance of a conductor is doubled, what happens to the current if the voltage remains constant? (2020)

Options:

Correct Answer: Halves

Exam Year: 2020

Solution:

According to Ohm\'s Law, if the resistance is doubled while the voltage remains constant, the current will be halved.

If the resistance of a conductor is doubled, what happens to the current if the voltage remains constant? (2020)

If the resistance of a conductor is doubled, what happens to the current if the voltage remains constant? (2020)

Step 1: Understand Ohm's Law, which states that Current (I) = Voltage (V) / Resistance (R).
Step 2: Identify that if the voltage (V) remains constant, we can focus on how changes in resistance (R) affect current (I).
Step 3: Note 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 / (2R), where I' is the new current.
Step 5: Compare the new current (I') with the original current (I = V / R).
Step 6: Realize that I' = V / (2R) is half of I, meaning the new current is half of the original current.
Step 7: Conclude that if the resistance is doubled and 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, expressed as I = V/R.