If the voltage across a resistor is doubled, what happens to the current through the resistor, assuming resistance remains constant?

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Q: If the voltage across a resistor is doubled, what happens to the current through the resistor, assuming resistance remains constant?

Solution: According to Ohm's Law (V = IR), if voltage is doubled and resistance remains constant, current also doubles.

Steps: 7

Step 1: Understand Ohm's Law, which states that Voltage (V) = Current (I) x Resistance (R).
Step 2: Identify that in this scenario, the resistance (R) remains constant.
Step 3: Note that if the voltage (V) is doubled, we can represent this as 2V.
Step 4: Substitute the new voltage into Ohm's Law: 2V = I' x R, where I' is the new current.
Step 5: Since R is constant, we can rearrange the equation to find the new current: I' = 2V / R.
Step 6: Compare this with the original current (I = V / R).
Step 7: Notice that I' = 2I, meaning the new current is double the original current.