The correct option is Halve.
Explanation
The relationship between current, voltage, and resistance in a conductor is governed by Ohm’s Law. This law states that the current flowing through a conductor is directly proportional to the voltage applied across it and inversely proportional to its resistance, provided the temperature and other physical conditions remain constant.Mathematical Analysis:
Ohm’s Law is expressed by the formula:
I = V / R
Where:
- I is the Current
- V is the Voltage (Potential Difference)
- R is the Resistance
According to the question:
- The voltage source (V) remains constant.
- The resistance (R) is doubled (becomes 2R).
Inew = V / (2R) = (1/2) × (V / R)
Since V / R is the original current (Ioriginal), the new current becomes:
Inew = (1/2) Ioriginal
Therefore, when the resistance is doubled while keeping the voltage constant, the current is halved.
Key Takeaway:
Current is inversely proportional to resistance (I ∝ 1/R) when voltage is held constant. Consequently, increasing the resistance reduces the flow of current proportionately.