confirm the ans
E(r)=-Ïo(e-ar3-1)/(3aεor2)
a space is filled up with a charge with volume density Ï=Ïoe-αr3, where Ïo n α are positive constants , r is the distance from the center of this system.find the magnitude of the electric field strength vector as a function of r.
eltric field= kq/r^2
q=chrge per unit volume *density
then integrate it finally
tat integration only m not getting otherwise my concept was the same...
yup the ans is write......can plz ellaborate ur ans written solution??
Write elemental charge
dQ=Ï.dV
=>dQ=Ï.4Ï€r2dr
put the value of Ï and integrate...
=>Q=-4Ï€Ïo(e-ar3-1)/3a
apply gauss law
E.4πr2=Q/εo
=>E(r)=-Ïo(e-ar3-1)/(3aεor2)