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Chapter 4: Problem 22

A transistor amplifier has a voltage gain of 50 . What is the output voltage when the input voltage is \(100 \mathrm{mV}\) ?

Short Answer

Expert verified
The output voltage of the transistor amplifier when the input voltage is \(100 \: mV\) is \(5 \: V\).

Step by step solution

01

Understand the provided information

We are given: - Voltage gain of the amplifier = \(50\) - Input voltage = \(100 \: mV\)
02

Convert the input voltage into volts

The input voltage is given in millivolts, so we'll convert it into volts. 1 mV is equal to \(10^{-3}\) V, so: - Input voltage = \(100 * 10^{-3} \: V\) = \(0.1 \: V\)
03

Calculate the output voltage

Now, we'll use the voltage gain to find the output voltage. The formula for this is: - Output voltage = Voltage gain 脳 Input voltage Substitute the given values: - Output voltage = \(50 * 0.1 \: V\) = \(5 \: V\)
04

Write down the answer

The output voltage of the transistor amplifier when the input voltage is 100 mV is 5 V.

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