![Page 1: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/1.jpg)
AC Parallel circuits• There are 3 methods to solve the a.c parallel circuits- Method of vectors -Symbolic method or ‘j’ method-Admittance or ‘Y’ method
a)Method of Vectors• Consider the a.c parallel circuit to which a voltage ‘E’ Is applied
• I is total current & I1, I2 & I3 branch currents
www.bookspar.com | Website for Students | VTU NOTES | QUESTION PAPERS 1
![Page 2: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/2.jpg)
Contd..• I1, I2 & I3 are found both in magnitude & direction
www.bookspar.com | Website for Students | VTU NOTES | QUESTION PAPERS 2
![Page 3: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/3.jpg)
Contd..
• The magnitude of resultant current is given by
• The phase angle of resultant current is given by
www.bookspar.com | Website for Students | VTU NOTES | QUESTION PAPERS 3
![Page 4: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/4.jpg)
Contd..
• The operator ‘j’• It is similar to operator ‘i’ used in mathematics• Its value is √-1• When a vector multiplied by ‘j’ , it gets rotated by 900 in anticlockwise direction
• P is a vector along X-axis, when it is multiplied by ‘j 2’ it gets rotated by 1800
www.bookspar.com | Website for Students | VTU NOTES | QUESTION PAPERS 4
![Page 5: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/5.jpg)
Contd..
• Symbolic or ‘j’ method
www.bookspar.com | Website for Students | VTU NOTES | QUESTION PAPERS 5
![Page 6: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/6.jpg)
Contd..www.bookspar.com | Website for Students | VTU NOTES
| QUESTION PAPERS 6
![Page 7: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/7.jpg)
Contd..
Admittance ‘Y’ :• It is reciprocal of impedance, Unit is mho • In S.I unit the admittance is Siemen (S)
• If Z1 , Z2 & Z3 are 3 impedances connected in parallel, Total impedance is
www.bookspar.com | Website for Students | VTU NOTES | QUESTION PAPERS 7
![Page 8: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/8.jpg)
Contd..• Let
www.bookspar.com | Website for Students | VTU NOTES | QUESTION PAPERS 8
![Page 9: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/9.jpg)
Admittance MethodThe susceptances of the three branches
www.bookspar.com | Website for Students | VTU NOTES | QUESTION PAPERS 9
![Page 10: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/10.jpg)
Contd..
www.bookspar.com | Website for Students | VTU NOTES | QUESTION PAPERS 10
![Page 11: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/11.jpg)
www.bookspar.com | Website for Students | VTU NOTES | QUESTION PAPERS 11
![Page 12: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/12.jpg)
www.bookspar.com | Website for Students | VTU NOTES | QUESTION PAPERS 12
![Page 13: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/13.jpg)
• ii) ‘j’ method :
www.bookspar.com | Website for Students | VTU NOTES | QUESTION PAPERS 13
![Page 14: AC Parallel circuits There are 3 methods to solve the a.c parallel circuits - Method of vectors -Symbolic method or j method -Admittance or Y method a)Method](https://reader036.vdocuments.site/reader036/viewer/2022081414/55140825550346e7488b4c1b/html5/thumbnails/14.jpg)
• iii) Admittance method:
www.bookspar.com | Website for Students | VTU NOTES | QUESTION PAPERS 14