First slide
Gauss's Law
Question

An electric field given by E=4i^+3y2+2j^ pierces Gaussian cube of side 1 m placed at origin such that its three sides represents x, y and z axes. The net charge enclosed within the cube is

Moderate
Solution

The x-component of electric field is constant and does not contribute to net flux through the closed surface. Due to y-component,

Incoming flux= -6 units (  y = 0 )
Outgoing flux= 9 units ( y = 1)
By Gauss' law, 

ϕnet=qεo96=qεoHence,   q=3εo

Get Instant Solutions
When in doubt download our app. Now available Google Play Store- Doubts App
Download Now
Doubts App