A very large flat insulating sheet with uniform charge per area n (SI units: C/m²) sits in the y-z plane at x = 0. We want to find the electric field at a point Pa distance x from the sheet. Assume P is far from the edges and x is small compared to the size of the sheet. Assume that n is positive. From symmetry, the electric field must point directly away from the sheet. We choose to draw the Gaussian surface as a cylinder of radius R that extends a distance x on both sides of the sheet. а. Which statement is true regarding the flux through the Gaussian surface? Choose one answer below! The electric flux through all the surfaces is zero. The flux through the endcaps is zero and the flux through the curved section is positive. The flux through the endcaps is zero and the flux through the curved section is negative. The flux through the curved section is zero. The flux through the right endcaps is positive and through the left endcaps is negative. The flux through the curved section is zero. The flux through the endcaps are both positive. b. Write the flux through the Gaussian surface in terms the E unknown E and R and/or x. Check units. E с. Write the charge enclosed and the electric flux in terms of the charge per area n and R and/or x. lenc = d. Determine electric field in terms of ŋ and/or x. е. Does the electric field depend on the distance from the sheet?
A very large flat insulating sheet with uniform charge per area n (SI units: C/m²) sits in the y-z plane at x = 0. We want to find the electric field at a point Pa distance x from the sheet. Assume P is far from the edges and x is small compared to the size of the sheet. Assume that n is positive. From symmetry, the electric field must point directly away from the sheet. We choose to draw the Gaussian surface as a cylinder of radius R that extends a distance x on both sides of the sheet. а. Which statement is true regarding the flux through the Gaussian surface? Choose one answer below! The electric flux through all the surfaces is zero. The flux through the endcaps is zero and the flux through the curved section is positive. The flux through the endcaps is zero and the flux through the curved section is negative. The flux through the curved section is zero. The flux through the right endcaps is positive and through the left endcaps is negative. The flux through the curved section is zero. The flux through the endcaps are both positive. b. Write the flux through the Gaussian surface in terms the E unknown E and R and/or x. Check units. E с. Write the charge enclosed and the electric flux in terms of the charge per area n and R and/or x. lenc = d. Determine electric field in terms of ŋ and/or x. е. Does the electric field depend on the distance from the sheet?
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Transcribed Image Text:1. A very large flat insulating sheet with uniform charge per area n (SI units: C/m²) sits in the y-z plane at x = 0. We
want to find the electric field at a point Pa distance x from the sheet. Assume P is far from the edges and x is small
compared to the size of the sheet.
Assume that is positive. From symmetry, the electric field must point directly away from the sheet. We choose to
draw the Gaussian surface as a cylinder of radius R that extends a distance x on both sides of the sheet.
а.
Which statement is true regarding the flux through the Gaussian surface? Choose one answer below!
The electric flux through all the surfaces is zero.
The flux through the endcaps is zero and the flux
through the curved section is positive.
The flux through the endcaps is zero and the flux
through the curved section is negative.
R
The flux through the curved section is zero. The flux
through the right endcaps is positive and through the
left endcaps is negative.
The flux through the curved section is zero. The flux
through the endcaps are both positive.
b. Write the flux through the Gaussian surface in terms the
E
unknown E and R and/or x. Check units.
E
С.
Write the charge enclosed and the electric flux in terms of the charge per area n and R and/or x.
lenc
ФЕ
d. Determine electric field in terms of n and/or x.
е.
Does the electric field depend on the distance from the sheet?
||
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