# Relationship of voltage current and resistance in series circuit

### Electrical/Electronic - Series Circuits

There is a clear relationship between the resistance of the individual resistors and the The current in a series circuit is everywhere the same. These current values are easily calculated if the battery voltage is known and the individual. How electrical charge relates to voltage, current, and resistance. quick way to reference the relationship between voltage, current, resistance, and power. Components in the circuit allow us to control this charge and use it to do work. .. the design of electrical circuits, be sure to check out the following tutorials. Series vs. It defines the relationship between the three fundamental electrical quantities: current, voltage, and resistance. When a voltage is applied to a circuit containing .

Make yourself a problem with any number of resistors and any values. Solve the problem; then click on the Submit button to check your answer. The current in a series circuit is everywhere the same.

Charge does NOT pile up and begin to accumulate at any given location such that the current at one location is more than at other locations. Charge does NOT become used up by resistors such that there is less of it at one location compared to another. The charges can be thought of as marching together through the wires of an electric circuit, everywhere marching at the same rate. Current - the rate at which charge flows - is everywhere the same.

## Ag Power Web Enhanced Course Materials

It is the same at the first resistor as it is at the last resistor as it is in the battery. These current values are easily calculated if the battery voltage is known and the individual resistance values are known. Using the individual resistor values and the equation above, the equivalent resistance can be calculated. This is to say that the electric potential at the positive terminal is 1. As charge moves through the external circuit, it encounters a loss of 1.

- Ohm’s Law - How Voltage, Current, and Resistance Relate
- Series Circuits

This loss in electric potential is referred to as a voltage drop. It occurs as the electrical energy of the charge is transformed to other forms of energy thermal, light, mechanical, etc. If an electric circuit powered by a 1. There is a voltage drop for each resistor, but the sum of these voltage drops is 1. This concept can be expressed mathematically by the following equation: To illustrate this mathematical principle in action, consider the two circuits shown below in Diagrams A and B.

Suppose that you were to asked to determine the two unknown values of the electric potential difference across the light bulbs in each circuit.

To determine their values, you would have to use the equation above. The battery is depicted by its customary schematic symbol and its voltage is listed next to it. Determine the voltage drop for the two light bulbs and then click the Check Answers button to see if you are correct.

Earlier in Lesson 1, the use of an electric potential diagram was discussed. An electric potential diagram is a conceptual tool for representing the electric potential difference between several points on an electric circuit.

Consider the circuit diagram below and its corresponding electric potential diagram. The circuit shown in the diagram above is powered by a volt energy source.

There are three resistors in the circuit connected in series, each having its own voltage drop. The negative sign for the electric potential difference simply denotes that there is a loss in electric potential when passing through the resistor.

Conventional current is directed through the external circuit from the positive terminal to the negative terminal. Since the schematic symbol for a voltage source uses a long bar to represent the positive terminal, location A in the diagram is at the positive terminal or the high potential terminal.

Location A is at 12 volts of electric potential and location H the negative terminal is at 0 volts. Standardized letters like these are common in the disciplines of physics and engineering, and are internationally recognized. Each unit of measurement is named after a famous experimenter in electricity: The amp after the Frenchman Andre M. The mathematical symbol for each quantity is meaningful as well. Most direct-current DC measurements, however, being stable over time, will be symbolized with capital letters.

Coulomb and Electric Charge One foundational unit of electrical measurement, often taught in the beginnings of electronics courses but used infrequently afterwards, is the unit of the coulomb, which is a measure of electric charge proportional to the number of electrons in an imbalanced state. One coulomb of charge is equal to 6,,, electrons.

Cast in these terms, current is the rate of electric charge motion through a conductor. As stated before, voltage is the measure of potential energy per unit charge available to motivate electrons from one point to another. Defined in these scientific terms, 1 volt is equal to 1 joule of electric potential energy per divided by 1 coulomb of charge.

Thus, a 9 volt battery releases 9 joules of energy for every coulomb of electrons moved through a circuit.

### Series Circuits

These units and symbols for electrical quantities will become very important to know as we begin to explore the relationships between them in circuits. Ohm expressed his discovery in the form of a simple equation, describing how voltage, current, and resistance interrelate: In this algebraic expression, voltage E is equal to current I multiplied by resistance R.

Using algebra techniques, we can manipulate this equation into two variations, solving for I and for R, respectively: In the above circuit, there is only one source of voltage the battery, on the left and only one source of resistance to current the lamp, on the right.