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If the potential difference across the ends of a conductor is doubled, what will be the effect on the current flowing through it ?
- a)It gets doubled
- b)It gets halved
- c)It remains same
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the potential difference across the ends of a conductor is doubled,...
Understanding Potential Difference and Current
When the potential difference (voltage) across the ends of a conductor is altered, it directly influences the current flowing through it. This relationship is described by Ohm's Law.
Ohm's Law Explained
Ohm's Law states that:
- V = I × R
Where:
- V = Potential difference (voltage)
- I = Current
- R = Resistance
From this equation, we can derive that:
- I = V / R
This implies that current is directly proportional to the voltage applied across the conductor, given that the resistance remains constant.
Effect of Doubling Voltage
When the potential difference is doubled:
- New Voltage (V') = 2V
Substituting into Ohm's Law:
- I' = V' / R
- I' = (2V) / R
- I' = 2(V / R)
- I' = 2I
This shows that the current also doubles when the voltage is doubled, assuming that resistance remains unchanged.
Conclusion
In summary, if the potential difference across a conductor is doubled, the current flowing through it will also double. Thus, the correct answer is:
- a) It gets doubled.
Understanding this fundamental relationship is crucial for analyzing electrical circuits and their behavior.
When the potential difference (voltage) across the ends of a conductor is altered, it directly influences the current flowing through it. This relationship is described by Ohm's Law.
Ohm's Law Explained
Ohm's Law states that:
- V = I × R
Where:
- V = Potential difference (voltage)
- I = Current
- R = Resistance
From this equation, we can derive that:
- I = V / R
This implies that current is directly proportional to the voltage applied across the conductor, given that the resistance remains constant.
Effect of Doubling Voltage
When the potential difference is doubled:
- New Voltage (V') = 2V
Substituting into Ohm's Law:
- I' = V' / R
- I' = (2V) / R
- I' = 2(V / R)
- I' = 2I
This shows that the current also doubles when the voltage is doubled, assuming that resistance remains unchanged.
Conclusion
In summary, if the potential difference across a conductor is doubled, the current flowing through it will also double. Thus, the correct answer is:
- a) It gets doubled.
Understanding this fundamental relationship is crucial for analyzing electrical circuits and their behavior.
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If the potential difference across the ends of a conductor is doubled,...
As per ohms law, V ∝ I
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