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A series resonant circuit has an inductive reactance of 1000W, a capacitive reactance of 1000W and a resistance of 0. 1W. If the resonant frequency is 10 MHz, then the bandwidth of the circuit will be
  • a)
    1 kHz
  • b)
    10 kHz
  • c)
    1 MHz
  • d)
    0.1 kHz
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A series resonant circuit has an inductive reactance of 1000W, a capac...
Solution:

Given data:

Inductive reactance (XL) = 1000W

Capacitive reactance (XC) = 1000W

Resistance (R) = 0.1W

Resonant frequency (fr) = 10 MHz

We know that the bandwidth of a series resonant circuit is given by:

BW = fr / Q

Where Q is the quality factor of the circuit.

The quality factor of a series resonant circuit can be determined by the following formula:

Q = XL / R = XC / R

Therefore, Q = 1000 / 0.1 = 10000

The bandwidth of the circuit can be calculated as:

BW = fr / Q = 10 MHz / 10000 = 1 kHz

Hence, the correct option is (a) 1 kHz.
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A series resonant circuit has an inductive reactance of 1000W, a capacitive reactance of 1000W and a resistance of 0. 1W. If the resonant frequency is 10 MHz, then the bandwidth of the circuit will bea)1 kHzb)10 kHzc)1 MHzd)0.1 kHzCorrect answer is option 'A'. Can you explain this answer?
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