In a circuit, if the resistance is halved while the voltage remains constant, wh

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Question: In a circuit, if the resistance is halved while the voltage remains constant, what happens to the current? (2022)

Options:

Correct Answer: It doubles

Exam Year: 2022

Solution:

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

In a circuit, if the resistance is halved while the voltage remains constant, what happens to the current? (2022)

In a circuit, if the resistance is halved while the voltage remains constant, what happens to the current? (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 halved, we can express this as R/2.
Step 4: Substitute the new resistance into Ohm's Law: I = V/(R/2).
Step 5: Simplify the equation: I = V * (2/R). This shows that the current (I) is now doubled.
Step 6: Conclude that if the resistance is halved while the voltage remains constant, the current will double.

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.