lools Help Three large charged sheet (shown above) have charges or Q.-Q 69 nC an
ID: 1659786 • Letter: L
Question
lools Help Three large charged sheet (shown above) have charges or Q.-Q 69 nC and Q2-. Qs-Q+-806 nC. As shown in the figre, medstances bet een the each sheet (L) is 5 m, the distance from the sheets to the field points (d) is 2 'n. Each sheet is a disk with, a radus of 21 cm. Find the charge on each sheet Find the electic field at point (A). EA Find the total electric field at (B) Find the electic field at point (C) Note: You can eam partial creait on this probiem Preview My Answers Submit Answers You have attempted this problem 3 times Your overall recorded score is 0%. You have unlimited attempts remainingExplanation / Answer
given, Q1 = -6.9 nC
Q2 = Q3 = 8.06 nC
radius of each disc, r = 2.1 cm = 0.021 m
a. to find surface charge density
sigma1 = Q1/pir^2 = -4.982*10^-6 C/m^2
sigma2 = Q2/pir^2 = 5.820*10^-6 C/m^2
sigma3 = Q3/pi*r^2 = Q2/pi*r2 = sigma2 = 5.820*10^-6 C/m^2
b. Now, electric field on a disc of charge density sigma, at a point on its axis, distance d form it is given by
E = sigma*2kpi[1 - d/sqroot(d^2 + r^2)]
so electric field at point A
Ea = -sigma1*2k*pi[1 - d/sqroot(d^2 + r^2)] - sigma*2k*pi[1 - (d+L)/sqroot((d+L)^2 + r^2)] - sigma*2k*pi[1 - (d + 2L)/sqroot((d+ 2L)^2 + r^2)]
Now, L = 5*10^-6 m
d = 2*10^-6 m
Ea = (4.981*10^-6 - 5.818*10^-6 - 5.8166*10^-6)*2*pi*k = -375229.9692 N/C
Eb = sigma1*2k*pi[1 - (L -d)/sqroot((L - d)^2 + r^2)] - sigma*2k*pi[1 - (d)/sqroot((d)^2 + r^2)] - sigma*2k*pi[1 - (d + L)/sqroot((d+ L)^2 + r^2)]
Eb = (-4.9812*10^-6 - 5.279*10^-6 - 5.818*10^-6)*2*pi*k
Eb = -906720.4421 N/C
Ec = sigma1*2k*pi[1 - (2L -d)/sqroot((2L - d)^2 + r^2)] + sigma*2k*pi[1 - (L - d)/sqroot((L - d)^2 + r^2)] - sigma*2k*pi[1 - (d)/sqroot((d)^2 + r^2)]
Ec = (-4.9801*10^-6 + 5.8191*10^-6 - 5.279*10^-6)*2*pi*k
Ec = -250391.136 N/C
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