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# MCQs on Gain, Attenuation & Decibels

What is the component in which the output voltage is higher than the input voltage?

a) Attenuator

b) Amplifier

c) Differential

d) Multiplexer

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b

Explanation: An amplifier is a component that increases the amplitude of the input signal. The increase in amplitude is measured as gain. Gain is the ratio of the voltage of the input signal vs output signal.

What is the gain of the signal if output and input voltages are 700V and 50mV respectively?

a) 14000

b) 14

c) 71

d) 71400

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a

Explanation: Gain = output voltage/input voltage = 700/0.05 = 14000.

What is the output signal voltage for a gain of 20 and input voltage of 20mV?

a) 400V

b) 4V

c) 400mV

d) 10V

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c

Explanation: Gain = output signal voltage / input signal voltage

Output signal amplitude = 20 x 0.02 = 400mV.

The power output of an amplifier is 7 watts. The power gain is 80. What is the input power?

a) 87.5mW

b) 87.5W

c) 13W

d) 13mW

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a

Explanation: Gain = power out / power in

Power in = power out / gain = 7/80 = 87.5mW.

What is the total gain of amplifiers with a power gain of 6, 8, 5 when connected in series?

a) 24

b) 20

c) 19

d) 240

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d

Explanation: Total gain = product of individual gains = 6 x 8 x5 = 240.

A two-stage amplifier has an input power of 30μW and an output power of 1.5mW. One stage has a gain of 3. What is the gain of the second stage?

a) 20

b) 16.6

c) 40

d) 22.36

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b

Explanation: Total gain = 1.5×10-3/30×10-6 = 50 = stage 1 gain x stage 2 gain

Stage 2 gain = 50 / 3 = 16.6.

What should be the value of R2 to have an attenuation of 0.5, if R1=200Ω?

a) 100Ω b) 300Ω c) 200Ω d) 500Ω

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c

Explanation: Attenuation =R2/(R2+R1) = 0.5

R2 = (0.5 X R2) + (0.5 X R1)

(0.5 X R2) = 100Ω

R2= 100/0.5 = 200Ω.

What should be the gain of an amplifier to have no voltage loss or gain?

a) 2

b) 1

c) 5

d) 0

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b

Explanation: An amplifier is usually used to increase the output voltage of a signal. Since gain = output voltage/input voltage and the input voltage is equal to the output voltage, the gain of the amplifier must be 1.

What should be the gain of an amplifier to have zero voltage loss if the signal is already attenuated half that of the original signal?

a) 1/2

b) 1

c) 2

d) 0

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c

Explanation: For the signal to have zero voltage loss gain of the attenuator, amplifier combination must be 1. Attenuation x gain =1. Gain = 1/attenuation = 1/(0.5) = 2.

What is the value of the total gain if A represent attenuation and G represent gain and all are cascaded?

A1=0.5 G1=5

A2=0.035 G2=20

a) 24.465

b) 99.9825

c) 25.535

d) 1.75

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d

Explanation: Total gain = product of individual gains and attenuation = 5 X 20 X 0.5 X 0.035 = 1.75.

The unit decibel is a way of expressing the hearing response of the human ear.

a) True

b) False

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a

Explanation: The gain or loss of a circuit is usually expressed in decibels (dB), a unit of measurement that was originally created as a way of expressing the hearing response of the human ear to various sound levels. A decibel is one-tenth of a bel.

What is the gain in decibels if the amplifier has an input of 3mV and output of 5V?

a) 54.4

b) 64

c) 64.4

d) 32

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b

Explanation: dB = 20 log(5/0.003) = 20 log 1666.67 = 20 x 3.22 =64.4.

When a decibel value is computed by comparing a power value to 1 mW it is called as?

a) dBm

b) dBc

c) dB

d) DB

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a

Explanation: When the gain or attenuation of a circuit is expressed in decibels, implicit is a comparison between two values, the output and the input. An often used reference level in communication is 1 mW. When a decibel value is computed by comparing a power value to 1 mW, the result is a value called the dBm. It is computed with the standard power decibel formula with 1 mW as the denominator of the ratio.