Disclosed are various embodiments for a system configured to characterize a magnetic response of a sample. The system can comprise an electrical source configured to generate a time-varying current supply, an excitation coil system coupled to the electrical source to generate a time-vary magnetic field for application to a sample, and a sensing coil system that senses a magnetic response of the sample in response to the time-varying magnetic field. The sensing coil system can comprise a pick-up coil and a balancing coil that can be translated or rotated. The balancing coil configured to cancel a feed-through induction signal. In another embodiment, the sensing coil system can comprise an adjustable fine-tuning coil that is configured to modify an effect of the cancellation of the feed-through induction signal.