The transfer function of a series RLC bandstop filter is given b 1 LC H(w) = -0². + R -w² +=jw+ L At w=1/√√LC, the phase response
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- A resistance of 100 and a capacitance of 100 µF is connected in series to the parallel combination of a 20-0 resistor and a 15-mH inductor. The circuit is energized by a 120 Vac, variable frequency supply. Derive the formula for resonant frequency and use it to find the resonant frequency.1-Find the center frequency and the two cutoff frequencies by changing the frequency until Vo becomes 0 and 0.707Vi respectively. 2- graph vo/vi and Theta against frequencyThe current at resonance in a series R-L-C circuit is 0.12mA. The circuit has an induc- tance of 0.05 H and the supply voltage is 24 mV at a frequency of 40 kHz. Determine (a) the circuit resistance and (b) the circuit capacitance.
- 8. What is the phase of this transfer function? 1 R+ H(w)= jaC+1/R (R+ jaL)21) Looking at the following circuit, select the correct Transfer fucntion. Please recognize that the answers are expressed in rectangular coordinates and not in magnitude, making this an easy problem. 21). ww w For the circuit in the given figure, assume L = 0.5 H and R= 200 kohm. ele O Vout (jw) Vin (jw) 200 k Vin R Vout –200 k+jw0.5 Vout (jw) ju0.5 200 k- jw0.5 Vin (jw) O Vout (ju) Vin (jw) - jw0.5 200 k– jw0.5 Vout (jw) 200 k Vin (jw) 200 k+jw0.5A resistance of 10 Q and a capacitance of 100 µF is connected in series to the parallel combination of a 20-2 resistor and a 15-mH inductor. The circuit is energized by a 120 Vac, variable frequency supply. Derive the formula for resonant frequency and use it to find the resonant frequency.
- The inductance coil in a series resonant circuit is 0.2 H and the resistance coil is 50 Q. What is the capacitance value in the circuit that causes resonance at a frequency of 150 KHz? The source produces an emf of 100 V r.m.s.A series RLC resonant circuit has an inductance equal to 5 mH, and capacitance equal to 4.7 micoF. Determine the new value of the capacitance needed to double the value of the resonant frequency. (Could you please write out the steps)A tank circuit contains a capacitor and an inductor that produce 30 2 of reactance at the resonant frequency. The inductor has a Q of 15. The voltage of 277V is connected to the circuit. What is the total circuit current of the resonant frequency? Show your work. a) IT= 0.615 A b) IT= 0.423 A c) IT = 0.846 A d) IT= 0.321 A
- An RC low-pass filter is shown in the figure. Its purpose is to attenuate higher frequencies while allowing lower frequencies to pass through. A 960-Hz sine-wave signal with rms amplitude of Vrms = 1.9 V is fed into the filter. The values of the components are R = 120 Ω and C = 0.64 μF and Vout-rms = 1.724 V. By what angle, in degrees, does the output voltage lag the input voltage?How many corner frequencies are in the following sinusoidal transfer function? 10(jw + 100) (jw + 1) 17 - G(jw) = O A) There are not correct answers B) four C) three O D) five E) twoHow many corner frequencies are in the following sinusoidal transfer function? 1 19 - G(ja) = (10 – jw)(100 + jw)(jw + 1) O A) There are not correct answers O B) four C) two O D) three O E) five