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A sheet of charge lies flat (horizontal) on a tabletop, and a point charge is fi

ID: 1772074 • Letter: A

Question

A sheet of charge lies flat (horizontal) on a tabletop, and a point charge is fixed in place floating 4 cm above the sheet of charge. The sheet of charge is1 m by 1 m-large enough that it can be treated as an infinite sheet-and has a total charge of +6 C. The point charge has a value of +6 C. What direction is the net electric field at a point halfway between the point charge and the sheet of charge? If the net electric field at this point is 0, select No direction-zero electric field". Down Explain your reasoning, but without referring to any calculations of the electric fielod This answer has not been graded yet. Now calculate the magnitude of the electric field at the halfway point. Use k = 9.00 x 109 N·m2/C2. Magnitude = | | N/C

Explanation / Answer


given that

magnitude of the floating charge q = 6 muC
total charge on the surface Q = 6 muC
x = 4*10^-2

E = (q/e0)*[(1/4*pi*(x/2)^2) - (1/2*A)]

= (6*10^-6 / 8.854*10^-12)*[(1/4*pi*2*10^-2) - (1 / 2*1)]

= 13.447*10^7 N / C

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