- #1

oneplusone

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**closed**.

I understand the rest of the solution, but this theoretical part is confusing me…

thanks

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- Thread starter oneplusone
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In summary, the electric field x cm away from a long straight metal rod with a radius of 5 cm and a charge per unit length of 30 nC/m can be found using the equation ## \int E\cdot dA = \dfrac{q_{encl}}{\epsilon_0}##. This is because the rod, being infinite, is enclosed by a closed gaussian surface. If x < 5, a gaussian cylinder with a radius of x can be used, and the equation can be simplified by pulling out the constant electric field and using the area of the cylinder, ##2\pi x l##, as the enclosed area. The "caps" of the cylinder can be ignored since the rod is infinite

- #1

oneplusone

- 127

- 2

I understand the rest of the solution, but this theoretical part is confusing me…

thanks

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- #2

ModusPwnd

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- #3

oneplusone

- 127

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does that mean you construct a gaussian cylinder that has radius x? And then use the equation above?

And since it is infinite, am I correct in saying that we can pull ##E## out of the integral (it is constant), and ##A## would just be ##2\pi x l## (we can ignore the "caps" of the cylinder since it's infinite?)

Electrostatic equilibrium is a state in which the net electric charge on a conductor is zero and the electric field inside the conductor is zero. This means that the charges on the surface of the conductor are evenly distributed and there is no movement of charges.

A conductor is a material that allows electric charges to flow freely through it. In the context of electrostatic equilibrium, a conductor is a material that can achieve a state of zero net charge and zero electric field inside when placed in an electric field.

A conductor achieves electrostatic equilibrium by allowing charges to move freely until they are evenly distributed on its surface. This process is known as electrostatic induction. The free movement of charges is possible due to the high electrical conductivity of the material.

Some examples of conductors in electrostatic equilibrium include metal objects such as copper wires, aluminum foil, and metal spheres. These objects are able to achieve electrostatic equilibrium due to their high electrical conductivity.

The shape of a conductor can affect electrostatic equilibrium by influencing the distribution of charges on its surface. For example, a pointed conductor will have a higher charge density at its tip compared to a flat conductor, as the electric field is stronger at sharper points.

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