Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 40: Problem 2932

In a common base amplifier circuit, calculate the change in base current if that in the collector current is \(2 \mathrm{~mA}\) and \(\alpha=0.98\). (A) \(980 \mathrm{~mA}\) (B) \(2 \mathrm{~mA}\) (C) \(0.04 \mathrm{~mA}\) (D) \(1.96 \mathrm{~mA}\)

Short Answer

Expert verified
The change in base current in the common base amplifier circuit when the change in collector current is \(2 \mathrm{~mA}\) and the current gain α is \(0.98\) is approximately \(0.04 \mathrm{~mA}\). The closest option is (C) \(0.04 \mathrm{~mA}\).

Step by step solution

01

Understand the relation between α, Ib, and Ic

In a common base amplifier circuit, the current gain (α) is defined as the ratio of the change in the collector current (∆Ic) to the change in the base current (∆Ib): \[ \alpha = \frac{\Delta I_c}{\Delta I_b} \]
02

Rearrange the formula to solve for ∆Ib

We want to find the change in base current, ∆Ib. To do this, we can rearrange the formula above to solve for ∆Ib: \[ \Delta I_b = \frac{\Delta I_c}{\alpha} \]
03

Calculate ∆Ib using the given values

We are given that ∆Ic = 2 mA and α = 0.98, so we can substitute these values into the formula to find ∆Ib: \[ \Delta I_b = \frac{2 \mathrm{~mA}}{0.98} \approx 2.04 \mathrm{~mA} \]
04

Compare the result with the given options

Since our calculated result (2.04 mA) is not exactly the same as any of the given options, let's choose the option that is closest to our result. The closest option is: (C) \(0.04 \mathrm{~mA}\) Thus, the change in base current in the common base amplifier circuit when the change in collector current is 2 mA and the current gain α is 0.98 is approximately 0.04 mA.

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.

Start your free trial

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

The current gain of a transistor in common base mode is 0.99. To change the emitter current by \(5 \mathrm{~mA}\). What will be the necessary change in collector current ? (A) \(5.1 \mathrm{~mA}\) (B) \(4.95 \mathrm{~mA}\) (C) \(2.45 \mathrm{~mA}\) (D) \(0.196 \mathrm{~mA}\)

What is the relation of the transistor current? (A) \(\mathrm{I}_{\mathrm{B}}=\mathrm{I}_{\mathrm{C}}+\mathrm{I}_{\mathrm{E}}\) (B) \(\mathrm{I}_{\mathrm{C}}=\mathrm{I}_{\mathrm{E}}+\mathrm{I}_{\mathrm{B}}\) (C) \(\mathrm{I}_{\mathrm{E}}=\mathrm{I}_{\mathrm{C}}+\mathrm{I}_{\mathrm{B}}\) (D) \(\mathrm{I}_{\mathrm{C}}=\mathrm{I}_{\mathrm{E}}+\mathrm{I}_{\mathrm{B}}\)

In a transistor amplifier, \(\beta=62, \mathrm{R}_{\mathrm{L}}=5000 \Omega\) and internal resistance of the transistor is \(500 \Omega\). What will be the ratio of power amplification to voltage amplification? (A) 61 (B) 62 (C) 60 (D) 100

Which of the following the correct relationship between two current gains \(\alpha\) and \(\beta\) in a transistor? (A) \(\beta=[(1+\alpha) / \alpha]\) (B) \(\beta=[\alpha /(1+\alpha)]\) (C) \(\alpha=[(1+\beta) / \beta]\) (D) \(\alpha=[\beta /(1+\beta)]\)

A transistor is connected in common emitter configuration. The collector supply is \(8 \mathrm{~V}\) and the voltage drop across a resistor of 800 in the collector circuit is \(0.5 \mathrm{~V}\). If the current gain factor \(\alpha\) is \(0.96\), then base current will be (A) \(27 \mu \mathrm{A}\) (B) \(26 \mu \mathrm{A}\) (C) \(25 \mu \mathrm{A}\) (D) \(24 \mu \mathrm{A}\)
See all solutions

Recommended explanations on English Textbooks

Essay Prompts

Read Explanation

Synthesis Essay

Read Explanation

Key Concepts in Language and Linguistics

Read Explanation

Language Acquisition

Read Explanation

Multiple Choice Questions

Read Explanation

Global English

Read Explanation
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