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Two very large parallel sheets are 5.00 {\ m{ cm}} apart. Sheet A carries a unif

ID: 2228125 • Letter: T

Question

Two very large parallel sheets are 5.00 { m{ cm}} apart. Sheet A carries a uniform surface charge density of -8.90{ m mu C/m^{2}} , and sheet B, which is to the right of A, carries a uniform charge of -12.8{ m mu C/m^{2}} . Assume the sheets are large enough to be treated as infinite. Find the magnitude of the net electric field these sheets produce at a point 4.00 { m cm} to the right of sheet A. Find the direction of the net electric field these sheets produce at a point 4.00 { m cm} to the right of sheet A. Find the magnitude of the net electric field these sheets produce at a point 4.00 { m cm} to the left of sheet A. Find the direction of the net electric field these sheets produce at a point 4.00 { m cm} to the left of sheet A. Find the magnitude of the net electric field these sheets produce at a point 4.00 { m cm} to the right of sheet B. Find the direction of the net electric field these sheets produce at a point 4.00 { m cm} to the right of sheet B.

Explanation / Answer

a)

E_net = E_A - E_B
charge = /
E_A = -8.9 * 10^-6 C/m^2 / (8.85*10^-12 F/m) = -1.006*10^6 N/C
E_B = -12.8 * 10^-6 C/m^2 / (8.85*10^-12 F/m) = -1.45*10^6 N/C
E_net = 4.44 * 10^5 N/C
b)
E_net = -(E_A + E_B)

E_net = 2.46 * 10^6 N/C
c)
E_net = E_A + E_B

= -2.46 * 10^6 N/C