If the resistance in a circuit is doubled while keeping the voltage constant, what happens to the current?

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Q: If the resistance in a circuit is doubled while keeping the voltage constant, what happens to the current?

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

Steps: 6

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) is constant, meaning it does not change.
Step 3: Recognize that if the resistance (R) is doubled, we can represent this as R becoming 2R.
Step 4: Substitute the new resistance into Ohm's Law: I = V/(2R).
Step 5: Compare this with the original equation I = V/R. Notice that I = V/(2R) is half of I = V/R.
Step 6: Conclude that if the resistance is doubled while keeping the voltage constant, the current will be halved.