Measuring the Membrane Potential: Ohm’s Law The intracellular and extracellular solutions in the body are ionic solutions, and they will therefore conduct electricity. Membrane potentials are voltages, which drive currents made up of the movement of ion species such as Na+ and K+. Ions can cross membranes through ion channels. A membrane containing these ion channels may represent a resistance in an electrical circuit. The resistance may be made smaller the more channels are open because ions then find it easier to pass through the membrane. Georg Simon Ohm Georg Simon Ohm was a German physicist and mathematician. As a school teacher, Ohm began his research with the new electrochemical cell, invented by Italian scientist Alessandro Volta. Using equipment of his own creation, Ohm found that there is a direct proportionality between the potential difference applied across a conductor and the resultant electric current. This relationship is known as Ohm’s law. Ohm’s law can be used to predict how much current would flow when the ion channels are opened, if the membrane potential (voltage) and the resistance of the membrane to Alessandro Volta the passage of the ions are known. V = I/R V is voltage measured in volts I is current measured in amperes R is resistance measured in ohms Voltage may be defined as the amount of potential energy between two points on a circuit. One point has more charge than another. This difference in charge between the two points is called voltage. It is measured in volts. Voltage is represented in equations and schematics by the letter “V”. Current is a measure of the amount of charge flowing through a circuit over a period of time. Current is measured in amperes (amps) and is represented in equations and schematics by the letter “I”. Resistance is a measure of a material’s tendency to resist the flow of charge (current). It is measured in ohms () and is represented in equations and schematics by the letter “R”.