Definition of complex number A Complex number is a pair of real numbers (x;y). Its algebraic form is z=x+i*y, where i is an imaginary…

# Category: Year 1

## Complex numbers 2

Let's suggest a function y=f(x) that is defined on the interval (a,b). Choose a point x on the interval (a,b), and another point x+∆x…

## Differentiability, differential of a function and integral

If function y=f(x) has a derivative in the point x: lim∆x→0 ∆y∆x=f' (x) Let's introduce the function: α(x)=∆y∆x-f' (x)=f(x+∆x)-f(x)∆x-f' (x) Function α(x) exists with the…

## Quiz

Solve this quiz and write your answers in comments. Exercise 1. Calculate: a. 5-1i3+i;b. (7+2i)-(3-2i)+(11+i)-(17-3i);c. (2+i)*(5-2i)+(6+13i)*(7-i);d. -13+6i2-i+ (8-i5+2i)2 Exercise 2. Calculate: Re(12-i6+3i), Im(-2i5+i) Exercise 3. Find all…

## Electric current conduction in semiconductors

The previous module showed the characteristics of semiconductors and their variety under different conditions. Here we will briefly recap the main characteristics of semiconductors…

## A transistor as an amplifier

A transistor is a three-terminal semiconductor device that can perform amplification and switching functions. The operation of a transistor as a linear amplifier is…

## MOS devices definition

A MOS-device is a simplified example of a MOSFET structure (without source and drain). Let's consider how the MOS-device works. The simplest MOS-device has…

## Coulomb’s law. Electric field.

Electric charge is a measure of the elementary particles that enable electrical and magnetic interactions. Electric charge has some fundamental features, which can be…

## Gauss theorem

The Coulomb Law and superposition principle can lead to a theorem which is valid for bilateral, axial and spherical charged objects. Let’s divide the…

## Electrostatic field and potential difference

We know how to find the potential difference between two points in the electrostatic field: φ1-φ2=∫12Eldl Let’s find the reverse dependence. Charge q movement…