In: Physics
Two in?nitely large sheets are shown in the ?gure. Sheet 1 contains a charge density +?. Sheet 2 contains ??. Between the two sheets is an in?nitely large 0.25 mm thick conducting plate that contains zero net charge. (a) What is the charge density induced on each side of the conducting plate. Explain. (b) What is the value of the electric ?eld at points A and B. Explain. (c) Calculate the voltage between the two sheets. Explain.
Consider two parallel sheets of charge A and B with surface density of + and - respectively.
(a) The charge density induced on each side of a conducting plate which will be given as -
A = QA / A (+q) / 4r2
B = QB / A (-q) / 4r2
Then, we get
= A + B [(+q) / 4r2) + (-q) / 4r2]
= 0
(b) The value of an electric ?eld at points A and B which will be given as -
At points A, we have
EA = A / 20
EA = + / 2 0
At points B, we have
EB = B / 20
EB = - / 20
(c) The voltage between the two sheets which will be given by -
using a formula, we have
VBA = EBA . d
V = (EB - EA) d
V = [(- / 20) + ( / 20)] d
V = 0