Ten questions. The result tells you which lessons you may skip.
A uniform field of \(500\,\text{N/C}\) passes through a square of side \(20\,\text{cm}\). The field makes \(60^\circ\) with the normal to the square. The flux through the square is
A closed cylinder lies in a uniform field with its axis along the field. The total flux through it is
The solid angle of a cone of half-angle \(90^\circ\) at its tip is
A point charge sits at the centre of a sphere. The sphere's radius is doubled. The flux through it
A charge with \(q/\varepsilon_0\) \(= 6000\,\text{N m}^2/\text{C}\) sits at a corner of a cube. The flux through the whole cube is
A closed surface encloses \(+3\,\mu\text{C}\) and \(-3\,\mu\text{C}\), and a charge of \(+1\,\mu\text{C}\) lies outside. The flux through the surface is
A long straight wire carries \(5\,\mu\text{C/m}\). With \(k\) \(= 9 \times 10^9\,\text{N m}^2/\text{C}^2\), the field \(10\,\text{cm}\) from it is
A large sheet carries \(\sigma\) \(= 8.85 \times 10^{-9}\,\text{C/m}^2\). The field \(1\,\text{cm}\) from it, and \(10\,\text{cm}\) from it, is
A thin shell of radius \(R\) carries charge \(Q\). The field at a point \(R/2\) from its centre is
A solid insulating sphere of radius \(R\) has charge \(Q\) spread evenly through it. The field at \(R/2\) from its centre is