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Q.

It has been experimentally observed that the electric field in a large region of earth's atmosphere is directed vertically down wards. At an altitiude of 300m, the electric field is 60V/m . At an altitude of 200m, the field is  100V/m. Calculate the net amount of charge contained in the cube of 100m edge, located between 200m and 300m altitude

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answer is 4.

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Detailed Solution

φE=∫bottomE1¯ds¯+∫topE2¯ds¯+4∫verticalE¯ds¯ φE=∫bottomE1dscoso0+∫topE2dscos1800+4∫verticalEdscos900 φE=E1−E2s φE=q∈0⇒q=φE∈0 q=E1−E2s∈0 =100−6010028.85×10−12 =3.54×10−6C
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