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What happens to the current in a circuit if the resistance is halved while the voltage remains constant?

  1. The current will remain the same

  2. The current will halve

  3. The current will double

  4. The current will triple

The correct answer is: The current will double

When resistance in a circuit is halved while maintaining a constant voltage, the current flows more freely according to Ohm's Law, which states that current (I) is equal to voltage (V) divided by resistance (R), expressed mathematically as I = V/R. If the resistance is decreased, for instance, from R to R/2, the equation adjusts to I = V/(R/2). This can be simplified to I = (2V)/R, indicating that the current is now double what it was at the original resistance. When voltage is constant, reducing resistance directly leads to an increase in current. Thus, when you halve the resistance, the current will indeed double, demonstrating a clear inverse relationship between current and resistance when voltage remains unchanged.