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In a series RLC circuit, the phase difference between the voltage across the inductor and the voltage across the resistor is?
- a)0 degrees
- b)90 degrees
- c)180 degrees
- d)360 degrees
Correct answer is option 'B'. Can you explain this answer?
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In a series RLC circuit, the phase difference between the voltage acro...
In a series RLC circuit, the phase difference between the voltage across the inductor and the voltage across the resistor is 90 degrees.
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In a series RLC circuit, the phase difference between the voltage acro...
Understanding the RLC Circuit
In an RLC (Resistor-Inductor-Capacitor) series circuit, the behavior of current and voltage can be quite interesting, particularly regarding phase relationships.
The Phase Relationship
- In an RLC circuit, the total voltage across the circuit is composed of voltages across the resistor (V_R), inductor (V_L), and capacitor (V_C).
- The voltage across the resistor (V_R) is in phase with the current (I), meaning they reach their maximum and minimum values simultaneously.
Inductor Voltage Characteristics
- The voltage across the inductor (V_L) leads the current by 90 degrees due to the property of inductance, where the inductor resists changes in current.
- This means when the current reaches its maximum, the voltage across the inductor is at its maximum a quarter cycle later.
Phase Difference Between V_L and V_R
- Since V_R is in phase with I, and V_L leads I by 90 degrees, we can infer that V_L also leads V_R by 90 degrees.
- Thus, the phase difference between the voltage across the inductor and the voltage across the resistor is exactly 90 degrees.
Conclusion
- Therefore, the correct answer to the question about the phase difference between the voltage across the inductor and the voltage across the resistor is indeed 90 degrees (Option B).
- This fundamental understanding of phase relationships is crucial for analyzing RLC circuits in electrical engineering.
In an RLC (Resistor-Inductor-Capacitor) series circuit, the behavior of current and voltage can be quite interesting, particularly regarding phase relationships.
The Phase Relationship
- In an RLC circuit, the total voltage across the circuit is composed of voltages across the resistor (V_R), inductor (V_L), and capacitor (V_C).
- The voltage across the resistor (V_R) is in phase with the current (I), meaning they reach their maximum and minimum values simultaneously.
Inductor Voltage Characteristics
- The voltage across the inductor (V_L) leads the current by 90 degrees due to the property of inductance, where the inductor resists changes in current.
- This means when the current reaches its maximum, the voltage across the inductor is at its maximum a quarter cycle later.
Phase Difference Between V_L and V_R
- Since V_R is in phase with I, and V_L leads I by 90 degrees, we can infer that V_L also leads V_R by 90 degrees.
- Thus, the phase difference between the voltage across the inductor and the voltage across the resistor is exactly 90 degrees.
Conclusion
- Therefore, the correct answer to the question about the phase difference between the voltage across the inductor and the voltage across the resistor is indeed 90 degrees (Option B).
- This fundamental understanding of phase relationships is crucial for analyzing RLC circuits in electrical engineering.
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