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In an RLC series circuit the source voltage leads the current at known frequency f .If f is lowered slightly ,the circuit impedance will 1.increase 2.decrease 3.remain same 4.need to know whether the phase angle is less than 45 or greater than 45?
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In an RLC series circuit the source voltage leads the current at known...
Understanding RLC Series Circuit Behavior
In an RLC series circuit, the relationship between voltage and current is influenced by the frequency of the source. When the frequency (f) is lowered slightly, the circuit impedance will change based on the characteristics of the components involved: the resistor (R), inductor (L), and capacitor (C).
Impedance in an RLC Circuit
- The total impedance (Z) in an RLC circuit is given by the formula: Z = √(R² + (XL - XC)²), where XL is the inductive reactance (2πfL) and XC is the capacitive reactance (1/(2πfC)).
Effect of Lowering Frequency
- When frequency decreases:
- Inductive Reactance (XL): It decreases since XL = 2πfL.
- Capacitive Reactance (XC): It increases since XC = 1/(2πfC).
- As a result, the difference (XL - XC) changes, which directly affects the overall impedance (Z).
Phase Angle Consideration
- The phase angle (φ) indicates the relationship between voltage and current:
- If φ > 0 (voltage leads current), the circuit behaves more inductively.
- If φ < 0="" (current="" leads="" voltage),="" it="" behaves="" more="" />
Conclusion on Impedance Change
- If the phase angle is greater than 45 degrees: The circuit is predominantly inductive. As frequency decreases, XL decreases and XC increases, resulting in a decrease in impedance (Z).
- If the phase angle is less than 45 degrees: The circuit is predominantly capacitive. A decrease in frequency will lead to an increase in impedance (Z).
Thus, to determine the exact change in impedance, knowing the phase angle is crucial.
In an RLC series circuit, the relationship between voltage and current is influenced by the frequency of the source. When the frequency (f) is lowered slightly, the circuit impedance will change based on the characteristics of the components involved: the resistor (R), inductor (L), and capacitor (C).
Impedance in an RLC Circuit
- The total impedance (Z) in an RLC circuit is given by the formula: Z = √(R² + (XL - XC)²), where XL is the inductive reactance (2πfL) and XC is the capacitive reactance (1/(2πfC)).
Effect of Lowering Frequency
- When frequency decreases:
- Inductive Reactance (XL): It decreases since XL = 2πfL.
- Capacitive Reactance (XC): It increases since XC = 1/(2πfC).
- As a result, the difference (XL - XC) changes, which directly affects the overall impedance (Z).
Phase Angle Consideration
- The phase angle (φ) indicates the relationship between voltage and current:
- If φ > 0 (voltage leads current), the circuit behaves more inductively.
- If φ < 0="" (current="" leads="" voltage),="" it="" behaves="" more="" />
Conclusion on Impedance Change
- If the phase angle is greater than 45 degrees: The circuit is predominantly inductive. As frequency decreases, XL decreases and XC increases, resulting in a decrease in impedance (Z).
- If the phase angle is less than 45 degrees: The circuit is predominantly capacitive. A decrease in frequency will lead to an increase in impedance (Z).
Thus, to determine the exact change in impedance, knowing the phase angle is crucial.
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In an RLC series circuit the source voltage leads the current at known frequency f .If f is lowered slightly ,the circuit impedance will 1.increase 2.decrease 3.remain same 4.need to know whether the phase angle is less than 45 or greater than 45?
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In an RLC series circuit the source voltage leads the current at known frequency f .If f is lowered slightly ,the circuit impedance will 1.increase 2.decrease 3.remain same 4.need to know whether the phase angle is less than 45 or greater than 45? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about In an RLC series circuit the source voltage leads the current at known frequency f .If f is lowered slightly ,the circuit impedance will 1.increase 2.decrease 3.remain same 4.need to know whether the phase angle is less than 45 or greater than 45? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an RLC series circuit the source voltage leads the current at known frequency f .If f is lowered slightly ,the circuit impedance will 1.increase 2.decrease 3.remain same 4.need to know whether the phase angle is less than 45 or greater than 45?.
In an RLC series circuit the source voltage leads the current at known frequency f .If f is lowered slightly ,the circuit impedance will 1.increase 2.decrease 3.remain same 4.need to know whether the phase angle is less than 45 or greater than 45? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about In an RLC series circuit the source voltage leads the current at known frequency f .If f is lowered slightly ,the circuit impedance will 1.increase 2.decrease 3.remain same 4.need to know whether the phase angle is less than 45 or greater than 45? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an RLC series circuit the source voltage leads the current at known frequency f .If f is lowered slightly ,the circuit impedance will 1.increase 2.decrease 3.remain same 4.need to know whether the phase angle is less than 45 or greater than 45?.
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