In a circuit, if the resistance is doubled while the voltage remains constant, w

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Question: In a circuit, if the resistance is doubled while the voltage remains constant, what happens to the current? (2021)

Options:

Correct Answer: It halves

Exam Year: 2021

Solution:

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

In a circuit, if the resistance is doubled while the voltage remains constant, what happens to the current? (2021)

In a circuit, if the resistance is doubled while the voltage remains constant, what happens to the current? (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) 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 = I/2, where I is the original current.
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.