An electric field having an intensity of 245 NC runs directl

An electric field having an intensity of 245 N/C runs directly along the x-axis of a coordinate system. A thin rectangular sheet having u length of 1.00 m and a height of 0.750 m is oriented in various ways to investigate the electric flux. Find the electric flux when: the sheet is parallel to the plane formed by the y and z axes (i.e., the normal to the plane is in the direction of the x axis); the sheet is parallel to the plane formed by the x and y axes; and the normal to the sheet makes a 30 degree angle relative to the x axis.

Solution

a) E = 245 i N/C

A = (1 x 0.750) (i) = 0.750 i m^2

flux = E.A = 245i . 0.750i = 183.75 Wb

b) A = 0.705 k

flux = (245i ) ( 0.705k) = 0

c) angle between E and A vector is 30 deg .

flux = E.A = |E||A| cos30 = 245 *0.750 * cos30 = 159.13 Wb