variable charge density
a large non uniformly charged slab of thickness d is placed in the yz plane as shown. its charge density rho varies as rho=ax^2 C/m^3 . find electric field at (l,0)
i. l > d
ii. l < d
14 Replies
@Gyro Gearloose
Note for OP
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i hope the fig gives an accurate idea
for l > d i am getting 👇

for l < d i am getting 👇

some1 pls confirm
the slab is infinite and charge density varies only in x direction and is constant in y and z?
ts should be correct i verified by triple integration
Yeppp
Alrr , same is the result given in phy galaxy
But couldn't find the result for l<d
yea seems correct asw to me i confirmed
Alrr I'll just wait for a few more confirmations and close this up
divide the slab into two portions
one applies field to the right
and other to the left
for one you need to integrate from 0 to L and for other, from L to d
and then subtract the two
L^3 - (d^3-L^3)
what is your final ans
we good?