In a circuit, if the voltage across a resistor is doubled, what happens to the current through it?

1 question

1 item

Q: In a circuit, if the voltage across a resistor is doubled, what happens to the current through it?

Solution: According to Ohm's law, if voltage is doubled and resistance remains constant, current also doubles.

Steps: 8

Step 1: Understand Ohm's Law, which states that Voltage (V) = Current (I) x Resistance (R).
Step 2: Identify that if the voltage across a resistor is doubled, we can represent this as V' = 2V, where V' is the new voltage.
Step 3: Keep in mind that the resistance (R) of the resistor does not change.
Step 4: Rewrite Ohm's Law with the new voltage: V' = I' x R, where I' is the new current.
Step 5: Substitute the new voltage into the equation: 2V = I' x R.
Step 6: To find the new current (I'), rearrange the equation: I' = 2V / R.
Step 7: Notice that if you compare this with the original current (I = V / R), you see that I' = 2I.
Step 8: Conclude that if the voltage is doubled, the current also doubles.