Consider a cube that measures 3.0 m on edge. The edges lie along the coordinate

Question

Consider a cube that measures 3.0 m on edge. The edges lie along the coordinate axes x, y, and z, with one corner at the origin, and the other corners having positive coordinates. A uniform and constant electric field points along the +z-axis with magnitude 4.5 N/C.

Fig. 23-27

(a) What is the direction of the area vector on the top surface of the cube?

(b) What is the electric flux through the top surface? ___N m2/C

(c) What is the electric flux through the front surface?___ N m2/C

(d) The electric field is rotated through 30° toward the x axis. What now is the electric flux through the top surface?____ N m2/C

(e) What now is the electric flux through the front surface? ___N m2/C

Explanation / Answer

a) on the top surface,the direction of the area vector is along +Z-axis

b) electric flux through top surface is phi_E = E*A*cos(theta) = 4.5*(3*3)*cos(0) = 40.5 Nm^2/C

c) flux through the front surface is phi_E = E*A*cos(theta) = 4.5*3*3*cos(90) = 0 Nm^2/C

d) after rotating through 30 deg

the flux remains same

answer for d) is 40.5 Nm^2/C

e) answer for e) is 0 Nm^2/C

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