# Colloquium

**CCRMA Colloquium**

The CCRMA Colloquium is a weekly gathering of CCRMA students, faculty and staff. It is an opportunity for members of the CCRMA community and guests to share the work that they are doing in the field of Computer Music. The colloquium typically happens every Wednesday during the school year from 5:15 - 6:30.

Autumn Quarter Schedule

**Current** describes the quantity of electrons passing through a point in a circuit at a given instant in time.
Current is measured in **Amperes** (**Amps**, **A**).

**Voltage** describes the potential difference in electrical charge between two points in an electrical circuit. **Voltage** (also known as **Electro motive force** or **EMF**) is measures in **Volts**.

**Resistance** (a special case of **Impedance**) describes the capacity of a circuit element to resist or impede the flow of electrons in the circuit. **Resistance** in measure in **Ohms**.

A common analogy may be used to relate these three quantities to water flow in pipes in place of electrons in wires. Current is analogous to the quantity of water flowing through a pipe at a given moment in time. Imagine you have two water tanks connected from the bottoms by a pipe (such as the drain of a double sink). If one tank is full of water and the other one empty we know intuitively that the water in the full tank will flow through the pipe into the empty tank until the level of water in the two tanks is equalized. The water in the full tank near the drain pipe is under pressure caused by gravity acting on the water above it in the tank. The difference in pressure between the water at the bottom of the full tank and the bottom of the empty (or only slightly full tank) is analogous to the voltage between poles of a battery (recall that voltage is always measured with respect to two distinct point in a circuit). In the case of a battery there is an excess of electrons present at the negative pole which are attracted to the electron holes at the positive pole with a potential or voltage determined by the chemical and physical properties of the battery.

Q: would the voltage change if we increased the amount of water in the full tank? yes - more water means more gravity acting on the water which results in greater pressure at the bottom of the tank.

Q: What happens if we open the pipe between the two tanks and let water flow? It flows from the full tank to the empty one until the level is the same in both. The same happens if you short the leads of a battery together without a resistor in between.

So what governs the time taken to equalize the level in the two tanks? The diameter of the pipe. The larger the pipe the less resistance there is to the water flow (or current) and the faster the levels equalize. Placing a resistor in an electric circuit has the same effect as placing a constriction in a water pipe. The amount of flow (or current) is not fixed, but given the same water pressure (or Voltage) the smaller the constriction the less flow occurs. Increasing the water pressure can counteract the reduction in flow. You can think of a battery as a pair of tanks, one full extra electrons and one empty to which extra electrons are attracted. (does adding constrictions hold in water as for electricity?) .... **Ohm's Law** ...

## Ohm's Law

**V = IR** Ohm's Law states that **Voltage** = **Current** x **Resistance** or **V = IR**. The equation can be rearranged to find any one of the three quantities given the other two.

Consider the following circuit:

The voltage in the circuit is given (10V from the battery) and the resistance is also given as the 100 ohm resistor is the only resistive element in the circuit. So we can compute the current in the circuit as: I = V/R = 10V / 100 Ohms = 0.1 Amps or 100 milli-Amps.

## Button LED Example

The following circuit diagram show the most basic LED (Light Emitting Diode) circuit:

Diodes are from the family of semiconductors. Unlike a resistors, diodes always have a fixed voltage drop in a circuit. A diode passes current in only one direction, a very useful property for protecting circuits from incorrect current flow. The arrow in the diode symbol points in the direction that current flows, so normally you would place a diode in your circuit with the arrow pointing to a ground. Therefore once we know the current passing through the resistor in this circuit we also know the current passing through the LED. The brightness of an LED is proportional to the amount of current passing through it. How would you make the LED shine brighter? less brightly?

Now consider the following circuit which adds a button:

The button simply interrupts or re-connects the flow of current through the circuit lighting or extinguishing the LED in the process.