Electromagnetic induction is considered for a perfectly conducting half-space with two kinds of bulges. The first one is half of a prolate spheroid with horizontal axis and the second is half of an oblate spheroid with vertical axis. Both analytical and numerical techniques were used. The electric field anomaly above the prolate spheroid is similar to that for a conducting cylinder, whereas the anomaly above the centre of the oblate conducting spheroid is about half of the corresponding 2-D value.