In a flexible catheterization probe a resilient member couples the tip to the distal portion of the probe and is configured to deform in response to pressure exerted on the tip when engaging tissue. A position sensor in the distal portion of the probe senses the position of the tip relative to the distal portion of the probe. The relative position changes in response to deformation of the resilient member. The position sensor generates a signal indicative of the position of the tip responsively to a magnetic field produced by a magnetic field generator located in the position sensor. The position sensor has a first coil of conductive wire having first windings, and three second coils of conductive wire having respective second windings. The second coils are symmetrically distributed about the longitudinal axis of the first coil.