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

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Question: If the voltage across a resistor is halved, what happens to the current through it? (2020)

Options:

Correct Answer: It halves

Exam Year: 2020

Solution:

According to Ohm\'s law, if voltage is halved and resistance remains constant, the current also halves.

If the voltage across a resistor is halved, what happens to the current through it? (2020)

If the voltage across a resistor is halved, what happens to the current through it? (2020)

Step 1: Understand Ohm's Law, which states that Voltage (V) = Current (I) x Resistance (R).
Step 2: Identify that if the voltage (V) is halved, we can express this as V/2.
Step 3: Keep the resistance (R) constant, meaning it does not change.
Step 4: Substitute the new voltage into Ohm's Law: V/2 = I x R.
Step 5: Rearrange the equation to find the new current (I): I = (V/2) / R.
Step 6: Notice that this is half of the original current (I = V/R), so the current also halves.

Ohm's Law – Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance.