A uniform electric field is given as E = 4 10^4 , j N/C . The flux of this field through a square of side 10 cm whose plane is parallel to the Y-Z plane is

Step-by-step solution

The electric field is given as E = 4 10^4 , j N/C . The area of the square is A = (10 cm )^2 = 0.01 m ^2 . Since the plane of the square is parallel to the Y-Z plane, its area vector is perpendicular to the Y-Z plane, which means it is directed along the X-axis. A = 0.01 , i m ^2 The electric flux through the square is given by the dot product of the electric field and the area vector: = E A = (4 10^4 , j ) (0.01 , i ) Since j i = 0 , we get: = 0 Answer: zero