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Test: RC Filters - GATE MCQ


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25 Questions MCQ Test - Test: RC Filters

Test: RC Filters for GATE 2024 is part of GATE preparation. The Test: RC Filters questions and answers have been prepared according to the GATE exam syllabus.The Test: RC Filters MCQs are made for GATE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: RC Filters below.
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Test: RC Filters - Question 1
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What is the value of resistor for a high pass RC filter to produce a cutoff frequency of 3.4KHz if C = 0.047μF?

Detailed Solution for Test: RC Filters - Question 1

Test: RC Filters - Question 2
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An RC coupling circuit is an example of what type of filter?

Detailed Solution for Test: RC Filters - Question 2
An RC coupling circuit is an example of a high-pass filter because the AC component of the input voltage is developed across R and the DC voltage is blocked by the series capacitor. Furthermore, with higher frequencies in the AC component, more AC voltage is coupled.
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Test: RC Filters - Question 3
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What is a filter?

Detailed Solution for Test: RC Filters - Question 3
A filter is a frequency-selective circuit. Filters are designed to pass some frequencies and reject others. Filters are used to reduce noise and increase selectivity.
Test: RC Filters - Question 4
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What is the type of filter shown in the figure?
Detailed Solution for Test: RC Filters - Question 4
The simplest form of low-pass filter is the RC circuit shown in the figure. The circuit forms a simple voltage divider with one frequency-sensitive component, in this case, the capacitor. At very low frequencies, the capacitor has very high reactance compared to the resistance and therefore the attenuation is minimum. Thus allowing lower frequencies to pass through while attenuating higher frequency signals.
Test: RC Filters - Question 5
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The attenuation rate is also called?
Detailed Solution for Test: RC Filters - Question 5
Roll off is also called the attenuation rate, roll-off is the rate of change of amplitude with frequency in a filter. The faster the roll-off, or the higher the attenuation rate, the more selective the filter is, i.e., the better able it is to differentiate between two closely spaced signals, one desired and the other not.
Test: RC Filters - Question 6
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Notch filters and band reject filters are the same.
Detailed Solution for Test: RC Filters - Question 6
Notch filters are also referred to as bandstop or band reject filters. Band-reject filters are used to greatly attenuate a narrow range of frequencies around a center point. Notch filters accomplish the same purpose, but for a single frequency.
Test: RC Filters - Question 7
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What is the loss the filter introduces to the signals in the passband called?
Detailed Solution for Test: RC Filters - Question 7
Insertion loss is the loss the filter introduces to the signals in the passband. Passive filters introduce attenuation because of the resistive losses in the components. Insertion loss is typically given in decibels.
Test: RC Filters - Question 8
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What are filters created by using resistors and capacitors or inductors and capacitors called?
Detailed Solution for Test: RC Filters - Question 8
Simple filters created by using resistors and capacitors or inductors and capacitors are called passive filters because they use passive components that do not amplify. In communication work, many filters are of the passive LC variety, although many other types are used.
Test: RC Filters - Question 9
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What type of filter produces a predictable phase shift characteristic in all frequencies?
Detailed Solution for Test: RC Filters - Question 9
An all pass filter passes all frequencies equally well over its design range but has a fixed or predictable phase shift characteristic. Filters normally attenuate the signal applied for some values of frequency whereas an all pass filter retains the signal level at all frequencies.
Test: RC Filters - Question 10
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Find the cut off frequency for an RC low pass filter of R = 8.2Ω and C = 0.0033μF?
Detailed Solution for Test: RC Filters - Question 10

Test: RC Filters - Question 11
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What is the type of filter shown in the figure?
Detailed Solution for Test: RC Filters - Question 11
A low-pass filter can also be implemented with an inductor and a resistor. At very low frequencies, the inductor has very low reactance compared to the resistance and therefore the attenuation is minimum. Thus allowing lower frequencies to pass through while attenuating higher frequency signals. The cutoff frequency is determined by using the formula fco = R/2πL.
Test: RC Filters - Question 12
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What is the value of notch frequency if the values of resistance and capacitance are 100 kV and 0.02 μF?
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Test: RC Filters - Question 13
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In a certain parallel resonant band-pass filter, the resonant frequency is 14 kHz. If the bandwidth is 4 kHz, the lower frequency is
Detailed Solution for Test: RC Filters - Question 13
Given that resonance frequency is 14kHz and the bandwidth is 4kHz We know that bandwidth is equal to twice the frequency of signal

⇒ B = 2 × f

⇒4 = 2 × f

So the signal frequency f = 4 / 2 ​= 2

Therefore the higher frequency is 14 + 2 = 16kHz and the lower frequency is 14 − 2 = 12kHz.

Test: RC Filters - Question 14
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The use of a capacitor filter in a rectifier circuit
Detailed Solution for Test: RC Filters - Question 14
In power supplies, capacitors are used to smooth (filter) the pulsating DC output after rectification so that a nearly constant DC voltage is supplied to the load. The pulsating output of the rectifiers has an average DC value and an AC portion that is called ripple voltage.
Test: RC Filters - Question 15
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The quality factor of a wide band-pass filter can be
Detailed Solution for Test: RC Filters - Question 15
A wide band-pass filter has quality factor less than 10.
Test: RC Filters - Question 16
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Compute the quality factor of the wide band-pass filter with high and low cut-off frequencies equal to 950Hz and 250Hz.
Detailed Solution for Test: RC Filters - Question 16
Quality factor Q = √(fh × fL) / (fh - fL) = √(950Hz × 250Hz) / (9950Hz - 250Hz) = 0.696.
Test: RC Filters - Question 17
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In which filter the output and input voltages are equal in amplitude for all frequencies?
Detailed Solution for Test: RC Filters - Question 17
In all-pass filter, the output and input voltages are equal in amplitude for all frequencies. This filter passes all frequencies equally well and with phase shift and between the two function of frequency.
Test: RC Filters - Question 18
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Name the filter that has two stop bands?
Detailed Solution for Test: RC Filters - Question 18
A band-pass filter has two stop bands: 1) 0 < f < fL and 2) f > fH.
Test: RC Filters - Question 19
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In a first order high pass filter, frequencies higher than low cut-off frequencies are called
Detailed Solution for Test: RC Filters - Question 19
Low cut-off frequency, fL is 0.707 times the pass band gain voltage. Therefore, frequencies above fL are pass band frequencies.
Test: RC Filters - Question 20
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Find out the application in which narrow band-reject filter can be used?
Detailed Solution for Test: RC Filters - Question 20
Notch filters or narrow band-reject filters are used in biomedical instruments for eliminating undesired frequencies.
Test: RC Filters - Question 21
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If the gain at center frequency is 10, find the quality factor of narrow band-pass filter
Detailed Solution for Test: RC Filters - Question 21
The gain of the narrow band-pass filter must satisfy the condition,

AF = 2 × Q2

When Q = 3,

=> 2 × Q2 = 2×(32) = 18.

=> 10 < 18.

Hence condition is satisfied when Q = 3.

Test: RC Filters - Question 22
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A narrow band-reject filter is commonly called as
Detailed Solution for Test: RC Filters - Question 22
A narrow band-reject filter is also called as notch filter because of its higher quality factor, Q (>10).
Test: RC Filters - Question 23
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The quality factor of passive twin T-network is increased by using
Detailed Solution for Test: RC Filters - Question 23
The passive twin T-network has a selectively low figure of merit. The Q of the network can be increased significantly, if it is used with the voltage follower.
Test: RC Filters - Question 24
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The advantage of narrow band-pass filter is
Detailed Solution for Test: RC Filters - Question 24
As the narrow band-pass filter has multiple filters. The center frequency can be changed to a new frequency without changing the gain or bandwidth and is accomplished by changing the resistor to a new value which is given as R’ = R × (fL / fc)2.
Test: RC Filters - Question 25
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Find the application of area where all-pass filters are used?
Detailed Solution for Test: RC Filters - Question 25
When signals are transmitted in transmission lines like telephone wire, they undergo change in phase, all-pass filters are used to compensate these phase changes.
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