00:01
Hello students, in this question given as a sphere, conducting sphere which is uniformly distributed and total charge is given as q and the radius of sphere is a.
00:13
Now we have to calculate the electric field by four different methods.
00:20
In the first method we have to use the coulomb's law.
00:37
According to this law electric field is equal to 1 by 4 pi epsilon naught into enclosed charge in the area upon r square.
00:55
Since we know that electric field inside the conductor is zero, therefore electric field inside the sphere will be zero and outside the sphere 1 by 4 pi epsilon naught outside the sphere which will enclose the total charge which is q by r square and in the second part using the we have to calculate the electric field by using the potential and the formula electric field is equal to negative gradient of the potential.
01:43
Now we will write the potential electric potential inside the sphere is 1 by 4 pi epsilon naught total enclosed charge upon radius a and outside the sphere is 1 by 4 pi epsilon naught q by radius r which is r is greater than a.
02:13
Now we can find the electric field is equal to with negative differential of electric potential with respect to r.
02:26
So electric field will be equal to the inside the sphere will be zero and outside the sphere will be 1 by 4 pi epsilon naught q by r square...