Connecting a voltmeter across a source of EMF, such as a battery, can affect the measured potential difference due to the voltmeter's finite resistance. While ideal voltmeters should have infinite resistance to prevent current alteration, real voltmeters do influence the current flow. As current flows through the battery, internal resistance leads to a decrease in the potential difference measured by the voltmeter. However, the electromotive force (EMF) of the source remains unchanged, as it represents the energy supplied per unit charge when no current is flowing. Thus, the voltmeter's connection alters the observed potential difference but not the actual EMF of the source.