Question

In: Physics

Two in?nitely large sheets are shown in the ?gure. Sheet 1 contains a charge density +?....

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.

Solutions

Expert Solution

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


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