If the voltage across a resistor is doubled, what happens to the current through

If the voltage across a resistor is doubled, what happens to the current through it?

If the voltage across a resistor is doubled, what happens to the current through it?

Step 1: Understand Ohm's Law, which states that Voltage (V) = Current (I) x Resistance (R).
Step 2: Identify that if the voltage (V) across a resistor is doubled, we can express this as V' = 2V.
Step 3: Keep the resistance (R) constant, meaning it does not change.
Step 4: Use Ohm's Law to find the new current (I'). Since V' = I' x R, we can substitute V' into the equation.
Step 5: Rewrite the equation as 2V = I' x R.
Step 6: Compare this with the original equation V = I x R, where I is the original current.
Step 7: Since V = I x R, we can express I as I = V/R.
Step 8: Substitute I into the new equation: 2V = (2I) x R.
Step 9: This shows that if voltage is doubled, the current (I') also doubles, so I' = 2I.

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