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  4. The electric field in a region is given by E=(4 hati+3 hatj)V/m . The net flux passing through a square area of side 4 m parallel to 4 y-z plane is

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Q. The electric field in a region is given by $ E=(4\hat{i}+3\hat{j})V/m $ . The net flux passing through a square area of side 4 m parallel to 4 y-z plane is

MGIMS WardhaMGIMS Wardha 2015

Solution:

A square area of side 4 m parallel to y-z plane in vector form can be written as $ S={{4}^{2}}\hat{i}=16\hat{i}{{m}^{2}} $ Given, $ E=(4\hat{i}+3\hat{j})v{{m}^{-1}} $ Electric flux passing through the given area is $ {{\phi }_{E}}=E.S $ $ =(4\hat{i}+3\hat{j}).16\hat{i}=64\,V-m $