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The resonant frequency of the series RLC circuit shown below is:
- a)0.25 rad/sec
- b)0.5 rad/sec
- c)2 rad/sec
- d)1 rad /sec
Correct answer is option 'A'. Can you explain this answer?
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The resonant frequency of the series RLC circuit shown below is:a)0.25...
The equivalent inductance of series opposing inductors:
In the RLC network given in the question, we can observe that inductors are connected in series opposing connection,
If two inductors are connected in series opposing connection with self inductances L1 and L2 and mutual inductance between them is M.
Then the equivalent inductance of such connection is given by
Leq = L1 + L2 - 2M
Resonance in series RLC circuit:
Seris resonance is the state of the network at which the impedance value of the network reaches a minimum and hence accepts the maximum current.
The frequency at which this state happens is called the resonance frequency.
The resonance frequency of the series RLC circuit is given by
rad/sec.Where
L is the inductance of the coil, C is the capacitance of the capacitor
Calculation:
Given that,
C = 4 F
L1 = L2 = 4 H
M = 2 H
⇒ Leq = 4 + 4 - 2 × 2 = 4 H
And resonance frequency
= 1 / √(4×4) = 1/4 = 0.25 rad/secAttention Mechanical Engineering Students!
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The resonant frequency of the series RLC circuit shown below is:a)0.25 rad/secb)0.5 rad/secc)2 rad/secd)1 rad /secCorrect answer is option 'A'. Can you explain this answer?
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