What is the electric field inside conducting material in electrostatic equilibrium?

Where does excess charge reside on an isolated conductor in electrostatic equilibrium?

What is the electric field direction just outside a conductor's surface in electrostatic equilibrium?

State the relation between the field just outside a conductor and the local surface charge density \(\sigma\).

A conductor has local surface charge density \(3.0\,\mathrm{nC\,m^{-2}}\). Find the electric field magnitude just outside the surface.

A Gaussian surface lies entirely inside the conducting material of a charged conductor. What net charge does it enclose?

An isolated conducting sphere has radius \(0.12\,\mathrm{m}\) and charge \(+6.0\,\mathrm{nC}\). Find the average surface charge density.

For the charged conducting sphere in question 7, find the electric field just outside the surface using \(\sigma/\epsilon_0\).

A charge \(+q\) is placed in a cavity inside a neutral conductor. What total charge appears on the inner cavity surface?

A charge \(+q\) is placed in a cavity inside a neutral conductor. What total charge appears on the outer surface?

A charge \(-3.0\,\mathrm{nC}\) is placed in a cavity inside a neutral conductor. Find the total charge on the inner and outer conductor surfaces.

A charge \(+2.0\,\mathrm{nC}\) is placed in a cavity inside a conductor whose net charge is \(+5.0\,\mathrm{nC}\). Find the total charge on the inner and outer surfaces.

Explain why the electric field at the surface of a conductor cannot have a tangential component in electrostatic equilibrium.

Use a pillbox Gaussian surface to derive \(E_\perp=\sigma/\epsilon_0\) just outside a conductor.

A conducting spherical shell has inner radius \(a\), outer radius \(b\), and net charge \(+Q\). There is no charge in the cavity. Find \(E\) for \(r<a\), \(a<r<b\), and \(r>b\).

A point charge \(+q\) is in the cavity of a conductor with net charge \(Q\). Derive the total charge on the inner and outer surfaces.

A neutral conducting shell contains a cavity with charge \(+q\). Explain why the field inside the conducting material is zero even though there is a charge in the cavity.

A conductor has two separate cavities containing charges \(q_1\) and \(q_2\). If the conductor's net charge is \(Q\), derive the total charge on all inner cavity surfaces combined and on the outer surface.

A charged conductor is not spherical. Explain which conductor results remain exact and which quantities can vary from point to point on the surface.

Use Gauss's law and electrostatic equilibrium to build a full argument for why excess charge in a solid conductor must reside on its surface.