In implementing electrical methods of geophysical exploration one is often faced with the spurious effects of extraneous targets. A good example is a metallic fence or similar conductive structure that is grounded to the earth at a discrete number of points. The quantitative estimate of response from such unwanted targets is very difficult. Furthermore, the precise nature of the configuration of the conductor is not known. Nevertheless a general procedure for dealing with such situations would be useful even if it is quite approximate. In an earlier investigation, Nelson (1977) constructed an ingenious circuit model to deal with the induced polarization (IP) response of a barbed wire fence that took account of the grounding impedances. He also referred to other studies that were never made available in the open literature. In Nelson's formulation the fence was treated as a resistive network and all electromagnetic (EM) coupling effects were ignored. It seems worthwhile to extend and generalize his approach to allow for a wider application. This is the purpose of this analysis.