A rod of length \(\ell\) rotates about one end at a constant rotational speed \(\omega\). The rod is in a uniform magnetic field \(\vec{B}\), and the axis of rotation is parallel to \(\vec{B}\) (Figure P29.69).

(a) In terms of \(\ell, B\), and \(\omega\), what potential difference develops between the two ends of the rod?

(b) Which end of the rod has a greater potential?

(c) If \(\ell=0.15 \mathrm{~m}, B=1.0 \mathrm{~T}\), and \(\omega=377 \mathrm{~s}^{-1}\), what is the potential-difference value?

Data from Figure P29.69

Transcribed Image Text:

Figure P29.69 B into page x