In this article, a source reconstruction problem is solved by sampling the tangential components of the electric field of an electric point source on the surface of a hemisphere the center of which is the location of the point source. The source reconstruction is performed by sampling the electric field at five different sampling rates. One of the sampling rate corresponds to the Nyquist rate, two of them are oversampling rates and the rest are undersampling rates. The problem is discretized into a matrix equation which is solved iteratively. For each of the solution iterate, the field components are reconstructed and the error with respect to the original fields are computed. It is shown that the error made is approximately the same for all the sampling rates. In addition, the fields are reconstructed on hemispheres outside the sampling hemisphere. The error made in this reconstruction is calculated and shown to be not too much varying among the five different sampling rates. By means of these two field reconstruction demonstrations, it is proven that the oversampling and Nyquist rate sampling do in fact provide redundant information for the source reconstruction since the oversampling and the Nyquist rate sampling do not increase the accuracy of the reconstructed fields. The current reconstruction is also made using the lowest sampling rate and it is indicated that the reconstructed current is close to the original current although the sampling rate is lowest. As a result, it is determined that undersampling regularizes the reconstruction problem by deleting the redundant information due to higher rate sampling.