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Passive Filters MCQs

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1

In a certain low-pass filter, fc = 3.5 kHz.if the input voltage is a 6 V sine wave with a dc level of 10 V, what is the output voltage magnitude?

Option A: 0 V

Option B: 5.97 V

Option C: 6 V

Option D: 597 mV

Correct Answer: 5.97 V ✔


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2

A parallel resonant band-pass filter consists of a 90 Ω resistor in series with a parallel network made up of a 60 mH coil and a 0.02 µF capacitor. The output is taken across the capacitor/coil. The coil winding has a resistance of 20 Ω. What is the center frequency of the filter?

Option A: 459 Hz

Option B: 4,591 Hz

Option C: 999 Hz

Option D: 2,176 Hz

Correct Answer: 4,591 Hz ✔


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3

An RL high-pass filter consists of a 470 Ω resistor and a 600 mH coil. The output is taken across the coil. The circuit’s critical frequency is__________?

Option A: 125 Hz

Option B: 1,250 Hz

Option C: 564 Hz

Option D: 5,644 Hz

Correct Answer: 125 Hz ✔


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4

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__________?

Option A: 333 kHz

Option B: 633 kHz

Option C: 331 kHz

Option D: 60 kHz

Correct Answer: 633 kHz ✔


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5

In a certain low-pass filter, fc = 3.5 kHz. Its pass-band is__________?

Option A: 0 Hz to 3.5 kHz

Option B: 0 Hz

Option C: 3.5 kHz

Option D: 7 kHz

Correct Answer: 0 Hz to 3.5 kHz ✔


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6

An RC high-pass filter consists of an 820 Ω resistor. What is the value of C so that Xc is ten times less than Rat an input frequency of 12 kHz?

Option A: 81 µF

Option B: 161 µF

Option C: 0.161 µF

Option D: 220 µF

Correct Answer: 161 µF ✔


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7

In a series resonant band-pass filter, a lower value of Q results in__________?

Option A: a higher impedance

Option B: a smaller bandwidth

Option C: a higher resonant frequency

Option D: a larger bandwidth

Correct Answer: a larger bandwidth ✔


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8

The maximum output voltage of a certain low-pass filter is 15 V. The output voltage at the critical frequency is__________?

Option A: 10.60 V

Option B: 0 V

Option C: 21.21 V

Option D: 15 V

Correct Answer: 10.60 V ✔


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9

The same signal in Problem 2 is applied to an RC high-pass filter. If the reactance is zero at the input frequency, the output voltage is__________?

Option A: 12.73 V peak-to-peak

Option B: 18 V peak-to-peak

Option C: 9 V peak-to-peak

Option D: zero

Correct Answer: 18 V peak-to-peak ✔


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10

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__________?

Option A: 18 V peak-to-peak

Option B: zero

Option C: 9 V peak-to-peak

Option D: 12.74 V peak-to-peak

Correct Answer: zero ✔


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11

Vout = 500 mV, and Vin = 1.3 V. The ratio Vout/ Vin expressed in dB is__________?

Option A: 0 dB

Option B: 8.30 dB

Option C: -8.30 dB

Option D: 0.8 dB

Correct Answer: 0 dB ✔


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12

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?

Option A: 5.14 MHz

Option B: 514 kHz

Option C: 5.03 MHz

Option D: 503 kHz

Correct Answer: 5.14 MHz ✔


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13

In a certain low-pass filter, fc = 3.5 kHz. If the input voltage is a 6 V sine wave with a dc level of 10 V, what is the output voltage magnitude?

Option A: 0 V

Option B: 5.97 V

Option C: 6 V

Option D: 597 mV

Correct Answer: 5.97 V ✔


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14

An RL low-pass filter consists of a 5.6 mH coil and a 3.3 kΩ resistor. The output voltage is taken across the resistor. The circuit’s critical frequency is__________?

Option A: 93.8 kHz

Option B: 93.8 Hz

Option C: 861 Hz

Option D: 86.12 kHz

Correct Answer: 93.8 kHz ✔


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15

An RC high-pass filter consists of a 0.2 µF capacitor and a 220 Ω resistor. The output is taken across the resistor. The circuit’s critical frequency is__________?

Option A: 723 Hz

Option B: 7,234 Hz

Option C: 362 Hz

Option D: 3,617 Hz

Correct Answer: 3,617 Hz ✔


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16

At a certain frequency, the output voltage of a filter is 6 V and the input is 12 V. The voltage ratio in decibels is__________?

Option A: 6.02 dB

Option B: -6.02 dB

Option C: 12.04 dB

Option D: -12.04 dB

Correct Answer: 6.02 dB ✔


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17

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)?

Option A: 10.9 V

Option B: 1.09 V

Option C: 1.1 V

Option D: 12 V

Correct Answer: 10.9 V ✔


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18

A series resonant band-stop filter consists of a 68 Ω resistor, a 110 mH coil, and a 0.02 µF capacitor. The internal resistance, RW, of the coil is 4 Ω. Input voltage is 200 mV. Output voltage is taken across the coil and capacitor in series. What is the output voltage magnitude at f0?

Option A: 1.1 mV

Option B: 11.1 mV

Option C: 111 mV

Option D: 200 mV

Correct Answer: 1.1 mV ✔


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19

In a certain low-pass filter, fc = 3.5 kHz. Its passband is__________?

Option A: 3.5 kHz

Option B: 0 Hz

Option C: 0 Hz to 3.5 kHz

Option D: 7 kHz

Correct Answer: 3.5 kHz ✔


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20

In a certain parallel resonant band-pass filter, the resonant frequency is 14 kHz. If the bandwidth is 4 kHz, the lower frequency__________?

Option A: is 7 kHz

Option B: is 10 kHz

Option C: is 12 kHz

Option D: cannot be determined

Correct Answer: is 12 kHz ✔


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21

At a certain frequency, the output voltage of a filter is 6 V and the input is 12 V.the filter’s bandwidth is__________?

Option A: 530 Hz

Option B: 106 Hz

Option C: 11.5 Hz

Option D: 53 Hz

Correct Answer: 53 Hz ✔


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