###### Electrical Engineering: Concepts and Applications

344 SOLVED PROBLEMS

Question: B.3

## Laplace Transform Find the Laplace transform of: x(t) = 5 + e^-2t ...

From the previous examples,(B.1, B.2) it is known ...
Question: 12.8

## Magnetic Circuit Given the current i = 5 A, and μr = 2000, find the mmf, the total reluctance, Φ, B, and H for the magnetic circuit in Figure 12.11. ...

Using Equation (12.11a), the mmf corresponds to: [...
Question: C.7

## Application of Euler’s Identity Calculate e^1-j1. ...

Method 1: Angle in radians: e^{1-j 1}=e^1 \...
Question: C.6

## Complex Operations Assume Z1 = 3∠45°, Z2 = 4∠45°, calculate Z1 + Z2, Z1Z2, and Z1/Z2. ...

First, convert $Z_1$ and Z_2[/...
Question: C.5

## Multiplicaton and Division in Polar Form Assume Z1 = 2.828∠45° and Z2 = 3∠30°, calculate Z1Z2 and Z1/Z2. ...

\begin{aligned}Z_1 \times Z_2 &=(2.828 ...
Question: C.4

## Polar to Exponential and Rectangular Form Conversion Convert the complex number Z1 = 10∠60° from polar form to exponential and rectangular forms. ...

The exponential form for Z_1=10 \angle 60^{...
Question: C.3

## Exponential to Rectangular and Polar Form Conversion Convert the complex number Z1 = 2.828e^j45° from exponential form to rectangular form and polar forms. ...

The polar form for Z_1=2.828 e^{j 45^{\circ...
Question: C.2

## Rectangular Form to Exponential and Polar Form Conversion Convert the complex number Z1 = 4 + j3 from rectangular form to exponential and polar forms. ...

Using Equation (C.1): \begin{aligned}&\...
Question: B.6

## Solving Differnetial Equations Using Laplace Transform Find the solution of the second-order differential equation, assuming all initial conditions are zeros: x″(t) + 5x′(t) + 6x(t) – 50 = 0 ...

Applying Laplace transform: s^2 X(s)-s x(0)...
\begin{aligned}X(s) &=\int_0^{\infty} x...