  We show that fluctuating proton positions in the colliding nuclei generate,
on the event-by-event basis, very strong magnetic and electric fields in the
direction both parallel and perpendicular to the reaction plane. The magnitude
of E and B fields in each event is of the order of m_pi^2 \approx 10^18 Gauss.
Implications on the observation of electric dipole in heavy ion collisions is
discussed, and the possibility of measuring the electric conductivity of the
hot medium is pointed out.
