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Ask iit jee aieee pet cbse icse state board experts Expert Question: gauss law
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sucess_seeker (5)

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A charge Q is uniformly distributed over a plasticplate. The electric field at a point P close to the center of the plate is 10 V/m. If the plastic plate is replaced by a copper plate of the same geometrical diumensions and carrying charde Q, the electric field at the point p will become 10 v because field does not depend on conducting material . Am i right?
 
ii)  A metallic plate having no net charge is placed near a finite metal late carrying a positive charge. The electric force on the partice will be towards the plate. Why? it should be away from positive charge.

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neeraj_agarwal_1990 (887)

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see the neutral plate has no charge on it...

the attraction and repulsion is due to electrons...
when +ve plate is kept near it...the electrons come to the near surface(since it is metallic)...and +ve charge accumulates at the other end....so the force of repulsion b/w plate and +ve charge is less than the force of attraction b/w +ve plate and -ve charge because of lesser distance...
so there is a NET force of attraction...
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neeraj_agarwal_1990 (887)

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for the first one...
consider a closed gaussian surface which completely covers the plate....
when the plate is changed....the net charge remains same..the srea remains same....since every thing in gauss law remains same...so E should also remain same...

I think u are correct
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edison (4929)

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use the fact that near the plate it is like infinite charged plate and for non conducting charged plate the electric field is

E = sigma / 2 ebsylum

E = surface charge density / 2 (permittivity)

The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
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