A series RLC circuit consist of resistance of 10 ohms, an inductance of 0.1 H and a capacitance of 0.001 μF. The frequency at resonance is
Which of the following Is not true for a series RLC resonant circuit?
When Δω increases, selectivity decreases and vice-versa.
Also, Vc|max occurs at,
The half-power frequencies of a series resonant circuit where the resonant frequency is 150 x 103 Hz and the bandwidth is 75 kHz will be respectively given by
Given, Δf = 75 kHz = f2 - f1...(i)
On solving equations (i) and (ii), we get
f1 = 117 kHz and f2 = 192 kHz
For the tank circuit shown below, the circulating current at resonance is given by
At resonance, XL = XC
∴ IL = IC (for parallel resonant circuit)
(IL=IC = circulating current)
The value of RC in the circuit shown below to yield resonance will be
Img [Y] = 0
A resonating circuit has 10ft resistance, if the supply is 10 Ω, the power at half power frequency will be
Now, power at half power frequency
For the circuit shown below, what are the values of R1, and R2 so that the circuit will resonate at all frequencies?
For the given circuit to resonate at all frequency,
Note: Resonant frequency of given circuit is
The value of current I1 in the circuit shown below is
Since XL = XL, therefore given circuit will be at resonance
∴ I1 = 100/5 = 20 A
The transfer function of the network shown below is
The given circuit in s-domain is shown below.
The poles and zeros of the transfer function for the circuit shown below are located at
Thus, there is no-zero for T.F.
Poles are at:
2s2 + 200s + 1 = 0
= -100 ±99.99
= 0 or -200
Hence, poles are at: s = 0, -200
The output of a linear system for a unit step input is given by t2 e-t. The transfer function is given by
Given, C(t) = t2e-t
A constant voltage but variable frequency ac source feeds L and C in parallel as shown below:
The impedance seen by source is Z
1. Z is zero when f = 0.
2. Z is zero when f = infinity.
3. Z is infinite when f = 0.
4. Z is infinite when f = infinity.
5. resonant frequency,
From above, the correct answer is
When f = 0, ω = 0 and z = 0.
When f = ∞, co = ∞ and z= 0.
Match List- I (Types of filters) with List- II (Attenuation band) and select the correct answer using the codes given below the lists:
A. Low pass
B. High pass
C. Band pass
D. Band stop
1. 0 → f2, f1 → ∞
2. fc → ∞
3. f1 → f2
4. 0 → fc
The transfer function is for an active
When s → 0 , H (0) → 0
When s → ∞, H(∞) → 0
Hence, given T.F. is for a band pass filter.
Match List- I (Transfer function) with List- II (Type of filter) and select the correct answer using the codes given below the lists:
Putting s → 0 and s → ∞ we can find the type of the filter.