12P01.5_Electric Flux and Continuous Charge Distribution_Final.pptx

Electric Flux and Continuous Charge Distribution

1. 12P01.5 Electric Flux and Continuous Charge Distribution

2. Learning Objectives Electric Flux Continuous Charge Distribution 12P01.5 Electric Flux and Continuous Charge Distribution

3. 12P01.5 CV 1 Electric Flux

4. 4 Electric Flux Flux through a surface No. of field lines passing through it           It is denoted by .  

5. 5 Electric Flux If electric field is strong Density of electric field lines is higher Greater number of field lines pass through the surface Greater flux passes through surface Electric Flux depends on : Electric Field

6. 6 Electric Flux If the surface area is small Number of field lines passing through it is less Flux passing through is small If the surface area is large then flux passing through it is also more. Area of surface Electric Flux depends on :

7. 7 Electric Flux Angle between electric field and surface Angle between field and the area decreases Fewer electric field lines pass through surface But when surface and field lines are perpendicular to each other greater flux passes through surface Electric Flux depends on :

8. Where small area element It is a scalar quantity. SI unit :   Where area vector uniform electric field   8 Mathematical expression of Electric Flux Area Vector : or                     If electric field is non-uniform,

9. unit vector in the direction of the outward normal For closed surfaces, area vector is always taken in direction of the outward normal to the surface.   9   Mathematical expression of Electric Flux Area vector for closed surfaces:          

10. Concept Test Ready for a challenge

11. Q. If an electric field is given to be what is the electric flux through a surface having an area vector   Pause the Video (Time Duration : 2 Minutes)

12. Q. If an electric field is given to be what is the electric flux through a surface having an area vector   Sol. =  

13. 1 2P01.5 PSV 1

14. Q. Charge q is placed at the center of a sphere of radius . Find the flux of the electric field through the surface of the sphere due to the enclosed charge.   Sol. Let’s assume q is positive            

15. 12P01.5 CV 2 Continuous Charge Distribution

16. A continuous charge distribution system is a system in which the charge is uniformly distributed over the conductor . In this system, infinite numbers of charges are closely packed and have minor space between them. Types of continuous charge distribution, linear charge distribution surface charge distribution volume charge distribution Continuous Charge Distribution

17. Unit of is   17 Linear Charge Distribution     Linear charge density ,   Where charge uniformly distributed over line length of rod     For uniform charge distribution,     L Q rod

18. Where charge uniformly distributed over surface area of plate Unit of is   Surface Charge Distribution         Surface charge density 𝜎, For uniform charge distribution,

19. Where charge uniformly distributed over system volume of sphere Unit of 𝜌 is .   19 Volume Charge Distribution     Volume charge density 𝜌, V   sphere For uniform charge distribution,

20. Concept Test Ready for a challenge

21. Q. A uniformly charged conducting sphere of diameter has a surface charge density of . Find the charge on the sphere.   Pause the Video (Time Duration : 2 Minutes)

22. Q. A uniformly charged conducting sphere of diameter has a surface charge density of . Find the charge on the sphere.   Sol. Diameter, radius, surface charge density, Total charge on the sphere,    

23. Summary Flux through a surface is proportional to number of field lines passing through it. Flux in a uniform electric field , passing through a surface If electric field is non-uniform, Linear charge density Surface charge density Volume charge density  

24. Reference Questions NCERT : 1.15, 1.16, 1.21, 1.22 Work Book : 8, 10 24 Electric Flux and Continuous Charge Distribution