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The modulation index of the low level emitter modulator is 0.7, voltage gain without modulating signal is AQ = 100, carrier frequency fc = 1 MHz. The amplitude of carrier is 10 mV. If the modulating frequency is 1 kHz, the range of voltage gain is
- a)40 to 150
- b)30 to 150
- c)40 to 170
- d)30 to 170
Correct answer is option 'D'. Can you explain this answer?
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The modulation index of the low level emitter modulator is 0.7, voltag...
We have:
or,
and,
Hence, the range of A = 30 to 170
or,
and,
Hence, the range of A = 30 to 170
Most Upvoted Answer
The modulation index of the low level emitter modulator is 0.7, voltag...
The modulation index, also known as the modulation depth, is a parameter that determines the amount of modulation applied to a carrier wave. It is defined as the ratio of the peak amplitude of the modulating signal to the peak amplitude of the carrier signal.
Given:
Modulation index, m = 0.7
Voltage gain without modulating signal, AQ = 100
Carrier frequency, fc = 1 MHz
Amplitude of carrier, Ac = 10 mV
Modulating frequency, fm = 1 kHz
To find the range of voltage gain, we need to consider the maximum and minimum values of the modulation index.
Maximum Modulation Index:
The maximum modulation index occurs when the peak amplitude of the modulating signal is equal to the peak amplitude of the carrier signal. In this case, the modulation index can be calculated using the formula:
m_max = (Vmax - Vmin) / (Vmax + Vmin)
Since the amplitude of the carrier is 10 mV, the maximum modulation index is:
m_max = (10 - 0) / (10 + 0) = 1
Minimum Modulation Index:
The minimum modulation index occurs when the peak amplitude of the modulating signal is 0. In this case, the modulation index is 0.
Range of Voltage Gain:
The voltage gain, Av, can be calculated using the formula:
Av = AQ * (1 + m * sin(2πfm * t))
where AQ is the voltage gain without modulating signal and m is the modulation index.
Substituting the given values, we have:
Av = 100 * (1 + 0.7 * sin(2π * 1 kHz * t))
To find the range of voltage gain, we need to determine the maximum and minimum values of Av. We can do this by finding the maximum and minimum values of the sinusoidal term.
Maximum Voltage Gain:
The maximum value of sin(2π * 1 kHz * t) is 1. Therefore, the maximum voltage gain is:
Av_max = 100 * (1 + 0.7 * 1) = 170
Minimum Voltage Gain:
The minimum value of sin(2π * 1 kHz * t) is -1. Therefore, the minimum voltage gain is:
Av_min = 100 * (1 + 0.7 * -1) = 30
Therefore, the range of voltage gain is from 30 to 170.
Hence, the correct answer is option D) 30 to 170.
Given:
Modulation index, m = 0.7
Voltage gain without modulating signal, AQ = 100
Carrier frequency, fc = 1 MHz
Amplitude of carrier, Ac = 10 mV
Modulating frequency, fm = 1 kHz
To find the range of voltage gain, we need to consider the maximum and minimum values of the modulation index.
Maximum Modulation Index:
The maximum modulation index occurs when the peak amplitude of the modulating signal is equal to the peak amplitude of the carrier signal. In this case, the modulation index can be calculated using the formula:
m_max = (Vmax - Vmin) / (Vmax + Vmin)
Since the amplitude of the carrier is 10 mV, the maximum modulation index is:
m_max = (10 - 0) / (10 + 0) = 1
Minimum Modulation Index:
The minimum modulation index occurs when the peak amplitude of the modulating signal is 0. In this case, the modulation index is 0.
Range of Voltage Gain:
The voltage gain, Av, can be calculated using the formula:
Av = AQ * (1 + m * sin(2πfm * t))
where AQ is the voltage gain without modulating signal and m is the modulation index.
Substituting the given values, we have:
Av = 100 * (1 + 0.7 * sin(2π * 1 kHz * t))
To find the range of voltage gain, we need to determine the maximum and minimum values of Av. We can do this by finding the maximum and minimum values of the sinusoidal term.
Maximum Voltage Gain:
The maximum value of sin(2π * 1 kHz * t) is 1. Therefore, the maximum voltage gain is:
Av_max = 100 * (1 + 0.7 * 1) = 170
Minimum Voltage Gain:
The minimum value of sin(2π * 1 kHz * t) is -1. Therefore, the minimum voltage gain is:
Av_min = 100 * (1 + 0.7 * -1) = 30
Therefore, the range of voltage gain is from 30 to 170.
Hence, the correct answer is option D) 30 to 170.
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The modulation index of the low level emitter modulator is 0.7, voltage gain without modulating signal is AQ = 100, carrier frequency fc = 1 MHz. The amplitude of carrier is 10 mV. If the modulating frequency is 1 kHz, the range of voltage gain isa)40 to 150b)30 to 150c)40 to 170d)30 to 170Correct answer is option 'D'. Can you explain this answer?
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The modulation index of the low level emitter modulator is 0.7, voltage gain without modulating signal is AQ = 100, carrier frequency fc = 1 MHz. The amplitude of carrier is 10 mV. If the modulating frequency is 1 kHz, the range of voltage gain isa)40 to 150b)30 to 150c)40 to 170d)30 to 170Correct answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about The modulation index of the low level emitter modulator is 0.7, voltage gain without modulating signal is AQ = 100, carrier frequency fc = 1 MHz. The amplitude of carrier is 10 mV. If the modulating frequency is 1 kHz, the range of voltage gain isa)40 to 150b)30 to 150c)40 to 170d)30 to 170Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The modulation index of the low level emitter modulator is 0.7, voltage gain without modulating signal is AQ = 100, carrier frequency fc = 1 MHz. The amplitude of carrier is 10 mV. If the modulating frequency is 1 kHz, the range of voltage gain isa)40 to 150b)30 to 150c)40 to 170d)30 to 170Correct answer is option 'D'. Can you explain this answer?.
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