In a series circuit, if the resistance is doubled, what happens to the current flowing through the circuit? (2021)

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Q: In a series circuit, if the resistance is doubled, what happens to the current flowing through the circuit? (2021)

Solution: According to Ohm's law, I = V/R. If R is doubled, the current I will be halved for a constant voltage V.

Steps: 6

Step 1: Understand that a series circuit has a single path for current to flow.
Step 2: Know that Ohm's law states that current (I) is equal to voltage (V) divided by resistance (R). This is written as I = V/R.
Step 3: Identify that if the resistance (R) is doubled, we can represent this as 2R.
Step 4: Substitute 2R into the Ohm's law equation: I = V/(2R).
Step 5: Compare this new equation to the original: I = V/R. Notice that the new current is half of the original current.
Step 6: Conclude that if the resistance is doubled, the current flowing through the circuit will be halved, assuming the voltage remains constant.