Experimental results are presented which demonstrate the beneficial influence of Faraday shields on antennas used for Alfven wave heating in a Tokamak. For the RF power levels available in the experiment, the addition of the shields resulted in total suppression of the uncontrolled density rise observed using unshielded antennas. Evidence of an associated strong decrease in the power deposited in the scrape-off plasma, both by Langmuir currents drawn by the antennas and by direct wave excitation, is also presented.