A square conducting plate 53.0 cm on a side and with no net charge is placed in a region, where there is a uniform electricfield of 79.0 kN/c directed to the right and perpendicular to the plate.(a) Find the charge density (in nC/m²) on the surface of the right face of the plate.6.99E-7Construct a cylindrical Gaussian surface perpendicular to the right surface of the plate. Put one end of the Gaussiansurface inside the plate and the other outside. See if you can show that the integral over the entire Gaussian surfaceis EA and the charge enclosed is oA. Use Gauss's law to determine the surface charge density. nC/m?(b) Find the charge density (in nC/m2) on the surface of the left face of the plate.|-349.58Construct a cylindrical Gaussian surface on the left surface of the plate. Put one end of the Gaussian surface insidethe conductor and the other outside. See if you can show that the integral over the entire Gaussian surface -EA andthe charge enclosed is -GA. Use Gauss's law to determine the surface charge density. nC/m2(c) Find the magnitude (in nC) of the charge on either face of the plate.98.2The charge on either surface of the plate is the charge density on that surface times the area. The charge density onthe two surfaces is the same except for the sign. As a result, the magnitude of the charge on either plate is themagnitude of the surface charge density times the area of the plate. nc

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Find the charge density (in nC/m2) on the surface of the left face of the plate.

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

A square conducting plate 53.0 cm on a side and with no net charge is placed in a region, where there is a uniform electric
field of 79.0 kN/c directed to the right and perpendicular to the plate.
(a) Find the charge density (in nC/m²) on the surface of the right face of the plate.
6.99E-7
Construct a cylindrical Gaussian surface perpendicular to the right surface of the plate. Put one end of the Gaussian
surface inside the plate and the other outside. See if you can show that the integral over the entire Gaussian surface
is EA and the charge enclosed is oA. Use Gauss's law to determine the surface charge density. nC/m?
(b) Find the charge density (in nC/m2) on the surface of the left face of the plate.
|-349.58
Construct a cylindrical Gaussian surface on the left surface of the plate. Put one end of the Gaussian surface inside
the conductor and the other outside. See if you can show that the integral over the entire Gaussian surface -EA and
the charge enclosed is -GA. Use Gauss's law to determine the surface charge density. nC/m2
(c) Find the magnitude (in nC) of the charge on either face of the plate.
98.2
The charge on either surface of the plate is the charge density on that surface times the area. The charge density on
the two surfaces is the same except for the sign. As a result, the magnitude of the charge on either plate is the
magnitude of the surface charge density times the area of the plate. nc

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