Engineering Electromagnetics
Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
Question
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Chapter 9, Problem 9.1P
To determine

(a)

The value of Vab(t).

Expert Solution
Check Mark

Answer to Problem 9.1P

The value of Vab(t)=5.32sin120πt.

Explanation of Solution

Given Information:

The given circuit is shown below:

Engineering Electromagnetics, Chapter 9, Problem 9.1P , additional homework tip  1

B=02cos120πtT

Calculation:

flux(ϕ)=π(015)2β

flux(ϕ)=1.41×102cos120πtWb

emf=Vba(t)=dϕdt=ddt(1.41× 10 2cos120πtWb)=(1.41× 10 2×120π( sin120πt))=5.324sin120πt

Vab(t)=Vba(t)=5.32sin120πt

Conclusion:

The value is Vab(t)=5.32sin120πt

To determine

(b)

The value of I(t).

Expert Solution
Check Mark

Answer to Problem 9.1P

The value of I(t) =21.3sin(120πt)mA.

Explanation of Solution

Given Information:

The given circuit is shown below:

Engineering Electromagnetics, Chapter 9, Problem 9.1P , additional homework tip  2

B=02cos120πtT

Calculation:

I(t)=V ba(t)R=5.32sin120πt250=21.29×103sin(120πt)A=21.3sin(120πt)mA

Conclusion:

The value is, I(t)=

21.3sin(120πt)mA

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PV station 8.6 Consider the microgrid given in Figure 8.56. The positive sequence impedance of the transmission lines is given in the one-line diagram (Figure 8.56). The system data are as follows: PV generating station: 2 MW, 460 V AC; positive, negative, and zero sequence impedance of each line is equal to 10%. The gas turbine gen- erating station is rated at 10 MVA, 3.2 kV, with positive sequence reac- tance of 10%. The generator negative sequence impedance is equal to the positive sequence, and the zero sequence impedance is equal to half (1/2) of the positive sequence impedance. Transformers' positive sequence impedance is equal to the negative sequence and equal to the zero sequence impedance. DC/AC 3 CB T₁ AC PV bus YA 6 1+/10 20 CB CB CB m 0.5+15 личи 5 A S5 2 Gas turbine 0.3+16 7 ww NA Local S6 ST utility Figure 8.56 A one-line diagram for Problem 8.6.
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