A nonconducting thin layer carries charge with a uniform density of 8.95 µC/cm 2

Question

A nonconducting thin layer carries charge with a uniform density of 8.95 µC/cm2.

(a) What is the electric field 7.55 cm in front of the wall if 7.55 cm is small compared with the dimensions of the wall?

magnitude

___ N/C

direction (away from or towards the wall)

(b) Does your result change as the distance from the wall varies? (Assume that the distance from the wall is small compared to the width and height of the wall.)

yes or no

(c*) The nonconducting wall is replaced with a thick conducting wall with the same surface charge density on the right side of the conducting wall as was on the thin insulating layer. What is the electric field 7.55 cm in front of (just outside) the conducting wall if 7.55 cm is small compared with the dimensions of the wall?

magnitude ________N/C

direction? (away from or towards the wall)

magnitude

___ N/C

direction (away from or towards the wall)

(b) Does your result change as the distance from the wall varies? (Assume that the distance from the wall is small compared to the width and height of the wall.)

yes or no

(c*) The nonconducting wall is replaced with a thick conducting wall with the same surface charge density on the right side of the conducting wall as was on the thin insulating layer. What is the electric field 7.55 cm in front of (just outside) the conducting wall if 7.55 cm is small compared with the dimensions of the wall?

magnitude ________N/C

direction? (away from or towards the wall)

Explanation / Answer

Solution a)

EA = (enclosed charge)/o

Let represent the charge per unit area of the wall. The electric flux would pass through the 2 ends of the cylinder.

E(2r^2) = (r^2)/o

E = /(2o)

E = (8.95*e-6 C/cm^2)(100^2 cm^2 / m^2) / (2*8.85e-12 C^2/N-m^2)

E = 5.05*e9 N/C towards the wall

Solution b)

No. It is not changes

Solution c)

As corresponds to the total charge is zero and also its distribution is symmetrical . The field of positive charges is canceled with the negative

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