Applied Mathematics in Music Technology - Essay Example

In the production and amplification of sound, mathematical formulas with the aid of electrical machinery come in handy. Such electronics are majorly made up of electrical circuits that form a closed pathway followed by electrons whose principal motion is propelled by the gradient difference of current in the positive and negative terminals. There are two types of currents namely direct current and alternating current. Most electrical circuits use direct current, DC, sources because it has a low voltage that is the change of the electrical potential of two oppositions and it can only flow in one direction (Calle 2001).

A simple electrical circuit contains several resistors, capacitors and probably a bell or a lamp all connected to a power source say a battery using wires. The pictorial way of presenting a circuit is known as a circuit diagram (Sherlock 2010). Resistance, measured in ohm (Ω) is the property of a conducting material to oppose the flow of electrons within the material when a voltage charge is applied. It is represented by quantity symbol R (Malley 1982, p17). Ohm’s law which is the foundation of electronics and electricity was named after Mr.

George Ohm who was a mathematician and a physicist defines the relationship between voltage, power, current and resistance. It states that for a given temperature, a current passing through a given conductor that obeys Ohm's law is directly proportional to the varying ranges of applied voltages with a constant proportionality of the specific conductor’s resistance.