An important consideration of RF circuitry in terms of Electromagnetic Compatibility is the correct modeling of the coupling between printed transmission lines. This is very important because the coupled noise voltages that are generated between two lines may cause adverse eects on sensitive components placed in the close vicinity. To study this problem of coupling in terms of noise voltages, rst the analytical expressions for computing the near-end and far-end voltages between the conventional Right-Handed (RH) and Composite Right-/Left-Handed Transmission Lines (CRLH-TLs) and then RH and Complementary Split Ring Resonators (CSRR-TLs) were derived. The obtained expressions were then successfully validated with the simulation and measurements results. These expressions will give us an insight on how to reduce the induced noise voltages on the CRLH- and CSRR-TLs by varying the capacitance and inductance values that support left-handed propagation. In particular, it will be shown that the noise voltages coupled to the CRLH-TL are approximately 10 dB lower than the voltages coupled to the CSRR-TL. This could prove to be a useful alternative to conventional sheilding.