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If an electronic system produces an 32v output voltage when 6.5v signals is applied, calculate the decibel value of the system output voltage.

If an electronic system produces an 32v output voltage when 6.5v signals is applied, calculate the decibel value of the system output voltage.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Answer the following with illustration and solutions.

1.)  If an electronic system produces an 32v output voltage when 6.5v signals is applied, calculate the decibel value of the system output voltage.

These is the example that might help.. see the picture below.

Amplifier Gain / Loss Small Input Signal Larger Output Signal Amplification Stage Iin I out Output Input Vin Gain (A) Vout Current Amp Gain/Loss Power Amp Gain/Loss Ap = A, × A P. Ap = P Voltage Amp Gain/Loss A, A = ay = 20log(A,) (in decibels) aj = 20log(A¡) (in decibels) ap = 10 log(Ap) (in decibels) where: where: where: A, - Voltage Gain/Loss a, - Voltage Gain/Loss (in decibels) Vi - Voltage Input Vo - Voltage Output A - Voltage Gain/Loss a¡ - Voltage Gain/Loss (in decibels) I - Current Input Io - Current Output Ap - Voltage Gain/Loss ap - Voltage Gain/Loss (in decibels) P - Current Input Po - Current Output Example: • If an electronic system produces a 24 mV output voltage when 12 mV signal is applied, calculate the decibel value of the system output voltage. • If the output power from an audio amplifier is measured at 10 W when the signal frequency is 1 kHz, and 1 W when the signal frequency is 10 kHz. Calculate the dB change in power. a, = 20log(A,) 10 log(A,) Po Ap = a, = A, = (24mV a, = 20log (2) = 20log = 6 dB 12mV 1 W a, = 10 log () = 10 log () = -10 dB 10 W
Transcribed Image Text:Amplifier Gain / Loss Small Input Signal Larger Output Signal Amplification Stage Iin I out Output Input Vin Gain (A) Vout Current Amp Gain/Loss Power Amp Gain/Loss Ap = A, × A P. Ap = P Voltage Amp Gain/Loss A, A = ay = 20log(A,) (in decibels) aj = 20log(A¡) (in decibels) ap = 10 log(Ap) (in decibels) where: where: where: A, - Voltage Gain/Loss a, - Voltage Gain/Loss (in decibels) Vi - Voltage Input Vo - Voltage Output A - Voltage Gain/Loss a¡ - Voltage Gain/Loss (in decibels) I - Current Input Io - Current Output Ap - Voltage Gain/Loss ap - Voltage Gain/Loss (in decibels) P - Current Input Po - Current Output Example: • If an electronic system produces a 24 mV output voltage when 12 mV signal is applied, calculate the decibel value of the system output voltage. • If the output power from an audio amplifier is measured at 10 W when the signal frequency is 1 kHz, and 1 W when the signal frequency is 10 kHz. Calculate the dB change in power. a, = 20log(A,) 10 log(A,) Po Ap = a, = A, = (24mV a, = 20log (2) = 20log = 6 dB 12mV 1 W a, = 10 log () = 10 log () = -10 dB 10 W
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