If the resistance of a conductor is doubled while the voltage remains constant,

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

Options:

Correct Answer: It halves

Exam Year: 2020

Solution:

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

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

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

Step 1: Understand Ohm's Law, which states that Current (I) = Voltage (V) / Resistance (R).
Step 2: Identify that the voltage (V) is constant in this scenario.
Step 3: Recognize that if the resistance (R) is doubled, we can express it 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: Notice that I' = V / (2R) is half of I, meaning the new current is half of the original current.

Ohm's Law – Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance of the conductor.