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When inductors are connected in series, the voltage across each inductor is _________
- a)Equal
- b)Different
- c)Zero
- d)Infinity
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
When inductors are connected in series, the voltage across each induct...
In a series circuit, the current across all elements remain the same and the total voltage of the circuit is the sum of the voltages across all the elements.
Most Upvoted Answer
When inductors are connected in series, the voltage across each induct...
Understanding Series Connection of Inductors
When inductors are connected in series, the behavior of voltage across each inductor differs based on their individual characteristics.
Voltage Across Inductors in Series
- Different Inductance Values:
- Each inductor may have a different inductance value, which leads to varying voltage drops across them when current flows through the series circuit.
- Current Consistency:
- In a series circuit, the same current flows through each inductor. However, the voltage across each inductor is proportional to its inductance and the rate of change of current.
Formula Insight
- Inductor Voltage Formula:
- The voltage across each inductor (V) is determined by the formula V = L*(di/dt), where L is the inductance and di/dt is the rate of change of current.
- Because L can differ for each inductor, the voltage across each one will also vary.
Conclusion
- Overall Voltage:
- The total voltage across the series connection is the sum of the individual voltages across each inductor, which means they must add up to the applied voltage.
- Final Answer:
- Therefore, the voltage across each inductor is different due to the varying inductance values, making option 'B' the correct answer.
When inductors are connected in series, the behavior of voltage across each inductor differs based on their individual characteristics.
Voltage Across Inductors in Series
- Different Inductance Values:
- Each inductor may have a different inductance value, which leads to varying voltage drops across them when current flows through the series circuit.
- Current Consistency:
- In a series circuit, the same current flows through each inductor. However, the voltage across each inductor is proportional to its inductance and the rate of change of current.
Formula Insight
- Inductor Voltage Formula:
- The voltage across each inductor (V) is determined by the formula V = L*(di/dt), where L is the inductance and di/dt is the rate of change of current.
- Because L can differ for each inductor, the voltage across each one will also vary.
Conclusion
- Overall Voltage:
- The total voltage across the series connection is the sum of the individual voltages across each inductor, which means they must add up to the applied voltage.
- Final Answer:
- Therefore, the voltage across each inductor is different due to the varying inductance values, making option 'B' the correct answer.
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