If the resistance of a wire is doubled, how does it affect the current flowing through it when connected to a constant voltage source?

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Q: If the resistance of a wire is doubled, how does it affect the current flowing through it when connected to a constant voltage source?

Solution: According to Ohm's law, if resistance is doubled and voltage remains constant, current will be halved.

Steps: 7

Step 1: Understand Ohm's Law, which states that Current (I) = Voltage (V) / Resistance (R).
Step 2: Identify that we have a constant voltage source, meaning the voltage (V) does not change.
Step 3: Recognize that if the resistance (R) is doubled, we can represent the new resistance as 2R.
Step 4: Substitute the new resistance into Ohm's Law: Current (I) = Voltage (V) / (2R).
Step 5: Compare the new current with the original current: Original current (I) = V / R and New current = V / (2R).
Step 6: Notice that the new current is half of the original current because V / (2R) is equal to (1/2) * (V / R).
Step 7: Conclude that if the resistance is doubled, the current flowing through the wire is halved.