Answer to Question #301896 in Electricity and Magnetism for John

Question

An electric field with a magnitude of 2.20 𝑘𝑁/𝐶 is applied along the x-axis. Calculate the

electric flux through a rectangular plane 0.77 m wide and 1.44 m long assuming that (a) the

plane is parallel to the yz plane; (b) the plane is parallel to the xy plane; (c) the plane

contains the y axis, and its normal makes an angle of 26.7° with the x axis.

Answer 1

$\Phi=ES\cos\alpha,$

a)

$\alpha=0,$

$\Phi=ES=2.4~kVm,$

b)

$\alpha=90°,$

$\Phi=0,$

c)

$\alpha=26.7°,$

$\Phi=ES\cos26.7°=2.2~kVm.$