A square conducting plate 51.0 cm on a side and with no net charge is placed in a region, where there is a uniform electric field of 81.0 kN/C directed to the right and perpendicular to the plate. (a) Find the charge density (in nC/m2) on the surface of the right face of the plate. -716850 nC/m2 (b) Find the charge density (in nC/m2) on the surface of the left face of the plate. 716850 nC/m2 (c) Find the magnitude (in nC) of the charge on either face of the plate. nC

a)  

b)  

c) i)

ii)

Explanation:

To find the charge density on each face, let's use the formula: E=σ/εo

Where, E, electric field = 81.0 kN/C

εo =

Thus, solve for σ

or

In charge density, the left face is negative  while on the right face it will be positive.

Therefore,

Charge density on the each face =

C) We'll first find the area of the square plate.

Use the formula below to find the magnitude of the charge on each surface of the plate:

On the right surface:

On the left surface:

it doesn't. it was imagined up in the middle ages.