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A series RLC circuit resonates at 1 MHz. At frequency of 1.1 MHz, the circuit impedance will be:
- a)capacitive
- b)inductive
- c)resistive
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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A series RLC circuit resonates at 1 MHz. At frequency of 1.1 MHz, the ...
Resonance in RLC Circuit:
An RLC circuit consists of a resistor, an inductor, and a capacitor connected in series. The circuit can be resonant at a specific frequency when the reactance of the inductor and capacitor equals the resistance of the resistor. The resonant frequency, also known as the natural frequency or the angular frequency is given by:
ω0 = 1/√(LC)
where L is the inductance, C is the capacitance, and ω0 is the resonant frequency in radians per second.
Impedance of RLC Circuit:
The impedance of an RLC circuit depends on the frequency of the applied signal. At resonance, the impedance is purely resistive and is given by:
Z = R
where R is the resistance of the circuit.
At frequencies above and below resonance, the impedance is a combination of resistive, inductive, and capacitive components. The impedance is given by:
Z = R + j(XL - XC)
where j is the imaginary unit, XL is the inductive reactance, and XC is the capacitive reactance.
Answer:
In the given RLC circuit, the resonance frequency is 1 MHz. At this frequency, the impedance of the circuit is purely resistive and is equal to the resistance of the circuit. At a frequency of 1.1 MHz, the impedance of the circuit will have a capacitive component as the inductive reactance will be less than the capacitive reactance. Therefore, the correct option is (B) inductive.
An RLC circuit consists of a resistor, an inductor, and a capacitor connected in series. The circuit can be resonant at a specific frequency when the reactance of the inductor and capacitor equals the resistance of the resistor. The resonant frequency, also known as the natural frequency or the angular frequency is given by:
ω0 = 1/√(LC)
where L is the inductance, C is the capacitance, and ω0 is the resonant frequency in radians per second.
Impedance of RLC Circuit:
The impedance of an RLC circuit depends on the frequency of the applied signal. At resonance, the impedance is purely resistive and is given by:
Z = R
where R is the resistance of the circuit.
At frequencies above and below resonance, the impedance is a combination of resistive, inductive, and capacitive components. The impedance is given by:
Z = R + j(XL - XC)
where j is the imaginary unit, XL is the inductive reactance, and XC is the capacitive reactance.
Answer:
In the given RLC circuit, the resonance frequency is 1 MHz. At this frequency, the impedance of the circuit is purely resistive and is equal to the resistance of the circuit. At a frequency of 1.1 MHz, the impedance of the circuit will have a capacitive component as the inductive reactance will be less than the capacitive reactance. Therefore, the correct option is (B) inductive.
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A series RLC circuit resonates at 1 MHz. At frequency of 1.1 MHz, the circuit impedance will be:a)capacitiveb)inductivec)resistived)none of theseCorrect answer is option 'B'. Can you explain this answer?
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