Background theory
An electric circuit is formed when a conductive path is created to allow electron movement. This movement of electrons, carrying an electric charge through a conductive material is called an electric current. Electrons in motion experience collisions with the lattice ions of the conductor which slows their progress. This opposition to the flow of electric current a conductor produces is called its electrical resistance (Walding, 2004).
The amount of current in the circuit depends on the resistance of the material and the voltage. The force motivating electrons to move through a conductor is called voltage (V). It is a measure of potential energy per unit charge of electrons (All about circuits, 2014). Current (I) is the rate of electric charge flowing through a conductor (I=q/t where q is a quantity of charge). The relationship between current, voltage and resistance can be descried by the ohm’s law. Ohm’s law states that the current (I) flowing through a conductor is directly proportional to the voltage (V). Since resistance(R) is held constant, Ohm’s law can be written as:
Where voltage is measured in volts (v), current (I)is measured in amps (A), and the resistance is measured in ohms (Ω).Using algebra techniques, this equation can be rearranged to R = V/I. The resistance of a particular conductor depends on several factors, the geometry and the composition of the material. The longer the length (L) of the material, the greater the resistance as higher number of electron collisions occur within the material resulting in more opposition to flow. Therefore, the resistance of a conductor is directly proportional to its length. The greater the cross sectional area (A) of the material, the lower the likelihood of a collision. Therefore, the smaller the area of cross-section (A) of the conductor, the greater its resistance. The above relationships can be used to determine a formula for overall electric resistance(R);
References: All About Circuits,. (2014). How voltage, current, and resistance relate : Ohm 's Law - Electronics Textbook. Retrieved 2 October 2014, from http://www.allaboutcircuits.com/vol_1/chpt_2/1.html Squishy circuits. (2012). Retrieved 9 October 2014, from http://lizastark.com/portfolio/wp-content/uploads/2012/03/Squishy.pdf Squishy Circuits Resistivity. (2014). Retrieved 2 October 2014, from http://courseweb.stthomas.edu/apthomas/SquishyCircuits/ResistivityTesting.pdf Walding, R., Rapkins, G., & Rossiter, G. (2004). New century senior physics (1st ed.). South Melbourne: Oxford University Press. Resistivity. (2014). Retrieved 9 October 2014, from http://www.princeton.edu/~achaney/tmve/wiki100k/docs/Resistivity.html