A n-p-n transistor is used in common emitter made in an amplifier it. A change of \(40 \mu \mathrm{A}\) in the base current changes the output current by $2 \mathrm{~mA}\( and \)0.04 \mathrm{~V}$ in input voltage. If a load of \(6 \mathrm{k} \Omega\) is used, then the voltage gain of the amplifier is (A) 100 (B) 200 (C) 300 (D) 400

Short Answer

Expert verified
The voltage gain of the amplifier is 300 (C).

Step by step solution

01

Find the change in output voltage

Given the change in base current and change in output current, we can calculate the change in output voltage. When the load of \(6\ \text{k}\Omega\) is used, the change in output voltage can be found using Ohm's law, which states that the voltage across a resistor is equal to the product of the current and its resistance: ΔV_output = ΔI_output × R_load, where ΔI_output is the change in output current and R_load is the load.
02

Calculate the change in output voltage

Given ΔI_output = \(2\) mA and R_load = \(6\) kΩ, we can compute the change in output voltage: ΔV_output = (\(2\) mA) × (\(6\) kΩ) = \(12\) V.
03

Determine the voltage gain

The voltage gain of an amplifier (A) is defined as the ratio of the change in output voltage to the change in input voltage: A = ΔV_output / ΔV_input We are given that the change in input voltage, ΔV_input is \(0.04\) V. Now we can find the voltage gain: A = (\(12\) V) / (\(0.04\) V) = \(300\). So, the voltage gain of the amplifier is 300 (C).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

See all solutions

Recommended explanations on English Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free