Question

A square conducting plate 52.0 cm on a side and with no net charge is placed in a region, where there is a uniform electric field of 82.0 kN/C directed to the right and perpendicular to the plate.
Find
(a) the charge density of each face of the plate and
(b) the total charge on each face.

Answer 1

Explanation:

Given:  uniform electric field E= 82.0 kN/C.

a) charge density σ =ε_0 E.

therefore, $\sigma =82\times10^3\times3.85\times10^{-12}\\=0.0000003157= 315.7 nC/m^2$

b)Total charge on each face = σA

q=σA

$=315.7\times10^{-9}\times52\times10^{-4}\\=1.614\times10^{-9}= 1.614 \text{ nC}\\\text{Similarly on the other face } = -1.614 \text{ nC}$