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Basic Electrical
Electrical Engineering: Concepts and Applications
344 SOLVED PROBLEMS
Question: B.3
Laplace Transform Find the Laplace transform of: x(t) = 5 + e^-2t ...
Verified Answer:
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. ...
Verified Answer:
Using Equation (12.11a), the mmf corresponds to: [...
Question: C.7
Application of Euler’s Identity Calculate e^1-j1. ...
Verified Answer:
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. ...
Verified Answer:
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. ...
Verified Answer:
\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. ...
Verified Answer:
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. ...
Verified Answer:
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. ...
Verified Answer:
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 ...
Verified Answer:
Applying Laplace transform:
s^2 X(s)-s x(0)...
Question: B.2
Laplace Transform Find the Laplace transform for the decaying exponential function defined by: x(t) = { e^-at t ≥ 0 0 else ...
Verified Answer:
\begin{aligned}X(s) &=\int_0^{\infty} x...
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