doPhysics.in
All chapters
Conductors in Electrostatics · Already know this?

Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

Already know this?

Ten questions. The result tells you which lessons you may skip.

1

A metal block rests in a uniform electric field, and its charges have stopped moving. The field inside the metal is

2

A solid copper ball is given \(+5\,\mu\text{C}\). Where does the charge settle?

3

The surface charge density at a point on a conductor is \(8.85 \times 10^{-9}\,\text{C/m}^2\). With \(\varepsilon_0\) \(= 8.85 \times 10^{-12}\,\text{C}^2/(\text{N m}^2)\), the field just outside is

4

A metal sphere of radius \(10\,\text{cm}\) carries \(2\,\mu\text{C}\). With \(k\) \(= 9 \times 10^9\,\text{N m}^2/\text{C}^2\), the potential at its centre is

5

Two metal spheres of radii \(10\,\text{cm}\) and \(20\,\text{cm}\) are at the same potential. The ratio of their surface charge densities, small to large, is

6

A charge of \(+2\,\mu\text{C}\) sits in the cavity of a neutral metal shell. The charge on the cavity wall is

7

A charged rod is brought near a closed, empty metal box. The steady field inside the box

8

Shell A (\(10\,\text{cm}\), \(+2\,\mu\text{C}\)) sits inside shell B (\(20\,\text{cm}\), \(+4\,\mu\text{C}\)). The charge on the outer surface of B is

9

In the same pair, shell B is earthed. Afterwards B carries

10

The field just outside a charged conductor is \(10^6\,\text{N/C}\). The outward pressure on its surface is about