Find the amplitude of the oscillations.
Find the angular frequency for the oscillations.
Using your results from (a)(i) and (a)(ii), show that the electron’s maximum drift speed $v_0$ is $1.1 \times 10^{-7}\,\text{m s}^{-1}$.
The rod has cross-sectional area $4.3\,\text{cm}^2$ and a conduction-electron number density (charge carriers) of $8.5 \times 10^{28}\,\text{m}^{-3}$. It may be assumed that every conduction electron in the rod oscillates in phase with, and with the same amplitude as, the motion shown in Fig. 4.1. Use the information in a(iii) to find the size $I_0$ of the maximum current in the rod.
On Fig. 4.2, draw the way the current $I$ in the rod changes with time $t$ for $t = 0$ to $t = 0.40\,\mu\text{s}$.
Use your answers in a(ii) and b(i) to derive an expression for $I$ in terms of $t$, with $I$ in A and $t$ in s.
Find the root-mean-square (r.m.s.) current in the rod.