Suppose the electric field in some region is found to be e = kr3 ˆr, in spherical coordinates (k is some constant). (a) find the charge density rho. (b) find the total charge contained in a sphere of radius r, centered at the origin. (do it two different ways.)

Part a)

Part b)

Explanation:

Part a)

As we know that electric field intensity due to some given charge distribution is given as

now electric flux through a spherical surface of radius r is given as

now by Guass law we know that

now volume charge density is given as

Part b)

Total charge inside the radius R is given as

6/12=1/2

step-by-step explanation:

graphing motion: mastery test

209be

what is the instantaneous acceleration of

the particle at point b?

0 meters/second?

10 meters/second?

12 meters/second?

velocity imetersisecond

15 meters/second?

20

time (seconds)

answer: 0 meters/second^2