The electric field in a region is given by 
. The flux of the field through a rectangular surface parallel to 
plane is 
. The area of the surface is _________ 
.
Text Solution
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To calculate the area of the surface through which the electric flux is determined, we use the given electric field and the specified surface orientation. The electric field is expressed as
Since the surface is parallel to the 
plane, its area vector 
is directed along the y-axis, making it 
.
The electric flux 
through the surface is given by:
Calculating the dot product, the only component contributing to the flux is the y-component:
Given that the electric flux 
is 
, we can equate and solve for A:
Converting this area from square meters to square centimeters:
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