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What will be the bandwidth of a series resonant circuit provided it has an inductive reactance of 1000 Ohm, a capacitive reactance of 1000 Ohm a resistance of 0.1 Ohm? It also know that the resonant frequency is 10MHz.
  • a)
    1 kHz
  • b)
    10 kHz
  • c)
    1 MHz
  • d)
    0.1 kHz
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What will be the bandwidth of a series resonant circuit provided it ha...
Given that, XL = 1000 Ω
XC = 1000 Ω
R = 0.1 Ω
F0 = 10 MHz

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What will be the bandwidth of a series resonant circuit provided it ha...
Bandwidth of a Series Resonant Circuit

Given parameters:
Inductive reactance (XL) = 1000 Ohm
Capacitive reactance (XC) = 1000 Ohm
Resistance (R) = 0.1 Ohm
Resonant frequency (f) = 10 MHz

Formula:
Bandwidth (BW) = f/Q
where Q = Quality factor = XL/R

Calculation:
Q = XL/R = 1000/0.1 = 10,000
BW = f/Q = 10 MHz/10,000 = 1 kHz

Therefore, the bandwidth of the series resonant circuit is 1 kHz.
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What will be the bandwidth of a series resonant circuit provided it has an inductive reactance of 1000 Ohm, a capacitive reactance of 1000 Ohm a resistance of 0.1 Ohm? It also know that the resonant frequency is 10MHz.a)1 kHzb)10 kHzc)1 MHzd)0.1 kHzCorrect answer is option 'A'. Can you explain this answer?
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