answer all questions please Infinite shet of charge is located in the yz plane a

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answer all questions please

Infinite shet of charge is located in the yz plane at x and has uniforrr charge derisitol :0.35 uC/m2. Another Infinlte sheet of charge with unlfonm charge denslty 20.23 pC/m2 is located atxcT 6 cm. An uncharged Infinite 2 conducting slab is placed halfway In between these sheets (ie, between x 15 cm). 11 cm and X What is E,(P)thexcomponent of the elecric field at point P locatd (5.5 cm, D)? What is o,, the chage denslty on the surface of the conducting slab atx 11 cm? What is R) P the potentital difference between point P and point R located at (xy)5.5c, 15 crr)? WhatIss)-VP), the potentital difference between polnt P and point S, located at xy) 205 cm,-1 cm)? hat Is ET thex-component of the electric feld at point T, located a ixy)31515 )? which of the folowing plots gves the corectx dependence for the potential function between x0 and x 26 crn? ir

Explanation / Answer

a) We know that for a conducting slab,

E = / 2Eo where is charge density , Eo = 8.85e-12 constant

just add E for both the sheets.

Ex = 0.35e-6 / 2*8.85e-12 + 0.23e-6/2*8.85e-12

Ex = 3.27e4 N/C

b) a = 1 + 2 / 2

a = 0.29 micro-C/m2

c) 0 as E is only in x - direction

d) V = -E*l where l = 11 cm or 0.11 m

V = - 3.27e4 * 0.11

V = - 3.597e3

e) Ex (T) = 0.35e-6 / 2*8.85e-12 - 0.23e-6/2*8.85e-12

Ex (T) = -6.78e3 N/C

d) option B is the correct as potential drops from first sheet to slab then remains constant inside the slab then again decreases from slab to other sheet.

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