electrostats

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a space is filled up with a charge with volume density Ï=Ï_oe^-Î±r³, where Ï_o n Î± 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.

#Physics #Electricity and magnetism

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5 Answers

Â°áƒ¦â€¢à¹“ÑÏ…Î ·2009-05-08 07:39:48

eltric field= kq/r^2

q=chrge per unit volume *density

then integrate it finally

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vaishnavi bansal ·2009-05-08 23:04:40

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

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eureka123 ·2009-05-09 00:02:12

confirm the ans

E_(r)=-Ï_o(e^-ar³-1)/(3aÎµ_or²)

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vaishnavi bansal ·2009-05-09 08:41:49

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

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eureka123 ·2009-05-09 10:33:35

Write elemental charge
dQ=Ï.dV
=>dQ=Ï.4Ï€r²dr
put the value of Ï and integrate...
=>Q=-4Ï€Ï_o(e^-ar³-1)/3a

apply gauss law
E.4Ï€r²=Q/Îµ_o
=>E_(r)=-Ï_o(e^-ar³-1)/(3aÎµ_or²)

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electrostats

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