If the resistance of a conductor is doubled while keeping the potential difference across its ends constant, what will happen to the current flowing through it?
- AOption (a)
It will double
- BOption (b)
It will halve
- COption (c)
It will remain unchanged
- DOption (d)
It will quadruple
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Correct answer
It will halve
Why this answer is correct
The correct answer is It will halve.
Key Points
- The relationship between current (I), voltage (V), and resistance (R) is given by Ohm's Law: I = V/R.
- If the resistance of a conductor is doubled and the potential difference (voltage) remains constant, the current flowing through it is inversely proportional to the resistance.
- Doubling the resistance causes the current to be halved because current decreases as resistance increases when voltage remains unchanged.
- This phenomenon can be mathematically expressed as:
- Initial current: I = V/R
- After doubling resistance: I' = V/(2R)
- Result: I' = I/2
- Thus, the current through the conductor will reduce to half of its original value.
Additional Information
- Understanding Resistance and Current
- Resistance is a measure of how much a material opposes the flow of electric current.
- Current is the rate of flow of electric charge through a conductor and is measured in amperes (A).
- Ohm's Law, a fundamental principle in electrical engineering, governs the relationship between voltage, current, and resistance.