If the resistance of a wire is doubled, what happens to the current flowing through it if the voltage remains constant?

1 question

1 item

Q: If the resistance of a wire is doubled, what happens to the current flowing through it if the voltage remains constant?

Solution: According to Ohm's law, if resistance increases while voltage remains constant, current decreases.

Steps: 7

Step 1: Understand Ohm's Law, which states that Voltage (V) = Current (I) x Resistance (R).
Step 2: Identify that if the voltage (V) remains constant, we can rearrange the formula to find current: I = V / R.
Step 3: Note that if the resistance (R) is doubled, the new resistance becomes 2R.
Step 4: Substitute the new resistance into the formula: I = V / (2R).
Step 5: Compare the new current (I) with the original current (I = V / R).
Step 6: Realize that the new current is half of the original current because I = V / (2R) is half of I = V / R.
Step 7: Conclude that if the resistance is doubled and voltage remains constant, the current flowing through the wire decreases to half.