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 = Q_A / A (+q) / 4r²

_B = Q_B / 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

E_A = _A / 2₀

E_A = + / 2 ₀

At points B, we have

E_B = _B / 2₀

E_B = - / 2₀

using a formula, we have

V_BA = E_BA . d

V = (E_B - E_A) d

V = [(- / 2₀) + ( / 2₀)] d

V = 0

genius_generous answered 9 months ago

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