electrostats

a space is filled up with a charge with volume density ρ=ρoe-αr3, where ρo 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.

5 Answers

1
°ღ•๓яυΠ·

eltric field= kq/r^2

q=chrge per unit volume *density

then integrate it finally

1
vaishnavi bansal ·

tat integration only m not getting otherwise my concept was the same...

24
eureka123 ·

confirm the ans

E(r)=-ρo(e-ar3-1)/(3aεor2)

1
vaishnavi bansal ·

yup the ans is write......can plz ellaborate ur ans written solution??

24
eureka123 ·

Write elemental charge
dQ=ρ.dV
=>dQ=ρ.4πr2dr
put the value of ρ and integrate...
=>Q=-4πρo(e-ar3-1)/3a

apply gauss law
E.4πr2=Q/εo
=>E(r)=-ρo(e-ar3-1)/(3aεor2)

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