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Two large, thin metal plates are parallel and close to each other , On their inner faces, the plates have surface chargesdensitiesof opposite signs and of magnitude 17.0 xx10 ^(-22)C//m^(2) .What is overset to E : in the outer region of the first plate, (b) in the outer region of the second plate, (c) between the plates? |
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Answer» Solution :Let A and B be two large, thin metal plates held parallel and close to each other as shown in surface density of charges on `A sigma =+17.0 xx 10^(-22)C//m^(2)`. And surface density of charges on ` B, -sigma =-17.0 xx 10 ^(-22)C//m^(2) ` At any point K in the outer region of first plate A, we have ` |oversetto (E_A) | = |oversetto (E_B)| =(sigma )/(2in _0)` but their directions are mutuallyopposite, Hence ` ""Oversetto (E_k) =overset to (E_A)+overset to (E_B) =overset to 0` (b) Let A and B be two large, thin metal plates held parallel and close to each other as shown in surface density of charges on `A sigma =+17.0 xx 10^(-22)C//m^(2)`. And surface density of charges on ` B, -sigma =-17.0 xx 10 ^(-22)C//m^(2) ` Again at a point M in the outer region of the second plate, net ELECTRIC field is zero (c) Let A and B be two large, thin metal plates held parallel and close to each other as shown in surface density of charges on `A sigma =+17.0 xx 10^(-22)C//m^(2)`. And surface density of charges on ` B, -sigma =-17.0 xx 10 ^(-22)C//m^(2) ` At a point N betweenthe plates A and B , `overset (E_A)and oversetto (E_B) ` are equal in magnitudeand both are directed in same direction and are, therefore, added up, hence net electric field is GIVEN by, ` oversetto E =oversetto (E_A) +overset to (E_B)=(sigma )/(2in _0) +(sigma)/(2in _0)=(sigma)/(in_0) =(1.70xx10^(-22))/(8.85xx10^(-12)) =1.9 xx10^(-10) NC^(-1) ` 
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