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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: electrostats:
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ackhill (36)

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In region der exists an electric field E(bar)=(4x^3i+3y^2j+8zk)\(4x^4+3y^3+8z^2).
the charge enclosed within a sphere of radius R cntered at origin(x,y,z=0) is
a)2pie(epsilon not) R
b)4pie(epsilon not) R
c)(4x^3+3y^2+8z)(epsilon not)
d)zero..

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ackhill (36)

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pls reply...

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it intoxicates both the holder n the beholder!..
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narulaajun (50)

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yaar plz make the Q. clear, the E field clearer, icant understand wat it is actually!
and u can use symbols instead of typing epsilon or pi
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narulaajun (50)

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and superscriptions for powers
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sid.shah.90 (603)

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Is the answer (b) ?

______________________________________________
Siddhant Shah


The trouble with doing something right the first time is that nobody appreciates how difficult it is.
You can't control the wind, but you can adjust your sails.
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feynmann (2438)

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see the normal vector of the sphere at point ( x, y, z ) is
 
 n =( xi + yj + zk)/ ( R )  ( since x^2 + y^2 + z^2 = R^2 )
 
so E. dS  = E. n dS
 
               = 1/R dS ( see, here  E.n = 1 )
 
So charge =
o E .dS  =1/R 4 pioR^2 = 4 pi epsilon naught R
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ackhill (36)

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thnk u feynman!...
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