# Active and Passive Filters – Exercise – 2

Exercise – 2

51. A sinusoidal voltage with a peak-to-peak value of 18 V is applied to an RC low-pass filter. If the reactance at the input frequency is zero, the output voltage is ________. (a) 18 V peak-to-peak (b) zero (c) 9 V peak-to-peak (d) 12.74 V peak-to-peak

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52. An RC low-pass filter consists of a 120 Ω resistor and a 0.002 μF capacitor. The output is taken across the capacitor. The circuit’s critical frequency is ________. (a) 333 kHz (b) 633 kHz (c) 331 kHz (d) 60 kHz

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53. A series resonant band-pass filter consists of a 2 mH coil, a 0.005 μF capacitor, and a 120 Ω resistor. The winding resistance of the coil is 12 Ω. The output voltage is taken off the resistor. Input voltage is 12 Vrms. What is the output voltage magnitude at the center frequency (f0)? (a) 10.9 V (b) 1.09 V (c) 1.1 V (d) 12 V

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54. A parallel resonant band-pass filter consists of a 6.8 Ω resistor in series with a parallel network made up of an 8 μH coil and a 120 pF capacitor. The output is taken across the capacitor/coil. Assume RW = 0 Ω. What is the center frequency of the filter? (a) 5.14 MHz (b) 514 kHz (c) 5.03 MHz (d) 503 kHz

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55. Vout = 500 mV, and Vin = 1.3 V. The ratio Vout/ Vin expressed in dB is ________. (a) 0 dB (b) 8.30 dB (c) –8.30 dB (d) 0.8 dB