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Calculate the quality factor Q for an RLC circuit having R = 10 Ω, C = 30μF, and L = 27mH.
- a)3
- b)6
- c)9
- d)15
Correct answer is option 'A'. Can you explain this answer?
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Calculate the quality factor Q for an RLC circuit having R = 10 &Omega...
In order to calculate the quality factor (Q) of an RLC circuit, we need to know the values of R (resistance), L (inductance), and C (capacitance). However, you have only provided the value of R, which is 10. Could you please provide the values of L and C as well?
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Calculate the quality factor Q for an RLC circuit having R = 10 &Omega...
CONCEPT:
RLC CIRCUIT:
- An RLC circuit is an electrical circuit consisting of an inductor (L), Capacitor (C), Resistor (R) it can be connected either parallel or series.
- When the LCR circuit is set to resonate (XL = XC), the resonant frequency is expressed as
⇒f=12π1LC
- Quality factor is
⇒Q=ω0LR=1RLC
Where, XL & XC = Impedance of inductor and capacitor, L, R & C = Inductance, resistance, and capacitance, f = frequency and, ω0 = angular resonance frequency
CALCULATION:
Given that: R = 10 Ω, C = 30 μF = 30 × 10-6 F, and L = 27mH = 27 × 10-3 H
From the above discussion,
⇒Q=ω0LR=1RLC
⇒Q=11027×10−330××10−6
⇒Q=3×1010=3
- Hence option (1) is correct.
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Calculate the quality factor Q for an RLC circuit having R = 10 Ω, C = 30μF, and L = 27mH.a)3b)6c)9d)15Correct answer is option 'A'. Can you explain this answer?
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