Write true or false of the following statements about phasors: 1. e j*pi = e -j*

Question

Write true or false of the following statements about phasors:

1. ej*pi = e-j*pi

2. ej*2*pi = e-j*2*pi

3. ASin(wot) = vertical component of the phasor Aejwt

4. BCos(wot) = vertical component of the phasor Bjejwt

5. asin(wot) + bcos(wot) = vertical component of (a + bj)ejwt

6. Aejwt and Ae-jwt are complex conjugates

7. (A+Bj)ejwt and (A - Bj)ejwt are complex conjugates

8. When two complex conjugates are added the resultant is always a real number

9. When two complex conjugates are subtracted the resultant is always an imaginary number

10. Asin(wt) = (Aejwt - Ae-jwt)/2j

Explanation / Answer

1)True

2)True

3)False

4)True

5)True

6)True

7)False

8)False

9)False

10)True

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