Two very large parallel sheets are 550 cm apart Sheet A carr

Two very large parallel sheets are 5.50 cm apart. Sheet A carries a uniform surface charge density of -9.00 µC/m² and sheet B, which is to the right of A, carries a uniform charge of -11.3 µC/m². Assume the sheets are large enough to be treated as infinite.

(a) Find the magnitude and direction of the net electric field these sheets produce at a point 4.40 cm to the right of sheet A.

Magnitude ___ N/C

Direction to right or left?

(b) Find the magnitude and direction of the net electric field these sheets produce at a point 4.40 cm to the left of sheet A.

Magnitude ___ N/C

Direction to right or left?

(c) Find the magnitude and direction of the net electric field these sheets produce at a point 4.40 cm to the right of sheet B.

Magnitude ___ N/C

Direction to right or left?

Solution

E_net = |sigma₁ |- |sigma₂ |/ 2 epsilon₀

= ((11.3 * 10^-6) - (9 * 10^-6)) / (2 * 8.85 * 10-12)

= 2.59 * 10⁵ N/C

net electric field is directed to right

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E_net = |sigma₁ | + |sigma₂ |/ 2 epsilon₀

= ((11.3 * 10^-6) + (9 * 10^-6)) / (2 * 8.85 * 10-12)

= 1.15 * 10⁶ N/C

net electric field is directed to right

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E_net = |sigma₁ | + |sigma₂ |/ 2 epsilon_{0 *} -x

= ((11.3 * 10^-6) + (9 * 10^-6)) / (2 * 8.85 * 10-12)

= - 1.15 * 10⁶ N/C

net electric field is directed to left