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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.

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

1

Charges of \(2\,\mu\text{C}\) and \(-3\,\mu\text{C}\) are \(30\,\text{cm}\) apart. Take \(k = 9 \times 10^9\,\text{N m}^2/\text{C}^2\). The potential energy of the pair is

2

A particle is fired straight at a fixed like charge and gets to a distance \(d\). With twice the kinetic energy it gets to

3

A charge of \(2\,\mu\text{C}\) is moved slowly from a point at \(40\,\text{V}\) to a point at \(100\,\text{V}\). The work done by the electric field is

4

At the midpoint between \(+q\) and \(-q\),

5

A ring of radius \(R\) carries a charge \(Q\). At its centre,

6

Three charges of \(2\,\mu\text{C}\) sit at the corners of an equilateral triangle of side \(20\,\text{cm}\), with \(k = 9 \times 10^9\,\text{N m}^2/\text{C}^2\). The potential energy of the system is

7

The potential along the \(x\) axis is \(V = 5x + 3\) volts, with \(x\) in metres. The field is

8

A charge is carried round a closed path in the field of fixed charges. The total work done by the field is

9

The field of a short dipole at a distance \(r\) on its axis is \(E\). On its equatorial line at the same distance the field is

10

A dipole in a uniform field is in stable equilibrium when \(\vec p\) makes an angle with \(\vec E\) of