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The electric field in a region is given ...

The electric field in a region is given by `E = (E_0x)/lhati`. Find the charge contained inside a cubical 1 volume bounded by the surfaces `x=0, x=a, y=0, yh=, z=0` and z=a. Take `E_0=5xx10^3N//C` l=2cm and a=1m.

Text Solution

Verified by Experts

The correct Answer is:
`2.2xx10^(-12) C`
`q=in_(0) int vec(E).dvec(S)=in_(0) int (E_(0)x)/l hat(i)`
`(dxhat(i)+dyhat(j)+dzhat(k))=in_(0)xx[(E_(0)x^(2))/(2l)]_(0)^(a)`
Put given values `rArr 2.2xx10^(-12) C`
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