Trystan Casey
Electricity is the flow of charge from the anode to the cathode in a conductor. It is generated through the fundamental parameters of voltage, current, resistance, and conductivity. To calculate the current, the formula is I = Q/t, where I is the current, Q is the charge, and t is time. The formula for resistance is R = ρl / A or R = V / I, where R is resistance, ρ is resistivity, l is length, A is area, V is voltage, and I is current. Power in electrical circuits is calculated using the formula P = VI, where P is power, V is voltage, and I is current. Ohm's Law can also be used to determine the current.
| Characteristics | Values |
|---|---|
| Definition | Electricity is the flow of charge from the anode to the cathode in a conductor |
| Parameters | Voltage, current, resistance, and conductivity |
| Formula for Current | I = Q / t, where I is current, Q is charge, and t is time |
| Formula for Resistance | R = ρl / A or R = V / I, where R is resistance, ρ is resistivity, l is length, A is area, V is voltage, and I is current |
| Formula for Power in Electrical Circuits | P = VI, where P is power, V is voltage, and I is current |
| Ohm's Law | Power factor PF = cos φ = R/(R2 + X2)1/2, φ = power factor angle |
| Units | Volt, Ohm, Ampere, Watt, Volt Ampere |
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What You'll Learn
Ohm's Law
Introducing the constant of proportionality, or resistance, we can arrive at the three mathematical equations used to describe this relationship:
- V = IR
- R = V/I
- I = V/R
Where:
- I is the current through the conductor
- V is the voltage measured across the conductor
- R is the resistance of the conductor
One way to understand Ohm's law is to think of it in terms of water flowing through a pipe. The voltage is the water pressure, the current is the amount of water flowing through the pipe, and the resistance is the size of the pipe. More water will flow through the pipe (current) the more pressure is applied (voltage) and the bigger the pipe is (lower the resistance).
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Electric power
In an electric circuit, components can be divided into two categories: active devices (power sources) and passive devices (loads). Active devices are power sources that convert energy into electric potential energy. Examples include electric generators and batteries. Passive devices consume electric power from the circuit, converting it to other forms of energy such as mechanical work, heat, or light. Examples include light bulbs, electric motors, and heaters.
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Voltage, current, resistance, and conductivity
Voltage
Voltage is the measure of potential energy per unit charge available to motivate current flow from one point to another. It is the force that motivates charge carriers to "flow" in a circuit. Voltage is always measured between two points in a circuit. The measure of voltage is relative to the amount of potential energy that exists to move charge carriers from one point in a circuit to another.
Current
Current is the rate of electric charge motion through a conductor. It is the flow of charge that creates what we know as current or electricity. The formula for calculating current is I = Q / t, where I is current, Q is charge, and t is time.
Resistance
Resistance is the opposition to current flowing around a circuit. It is the ratio of voltage across a circuit to the current flowing through it. The formula for resistance is R = V / I, where R is resistance, V is voltage, and I is current. Resistance is measured in Ohms and has the Greek symbol Ω.
Conductivity
Conductance or conductivity is the reciprocal of resistance. It is the ability of a conductor or device to conduct electricity, or the ease with which current flows. Conductance is measured in mho (spelt backward from ohm) or Siemens (S). The higher the conductance, the better the conductor.
The relationship between voltage, current, and resistance is defined by Ohm's Law, discovered by Georg Simon Ohm in 1827. This law states that the amount of electric current through a metal conductor in a circuit is directly proportional to the voltage across it. Mathematically, this is expressed as Voltage (V) = Current (I) * Resistance (R).
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Power factor
The power factor is calculated using the formula PF = kW / kVA, where kW is working power and kVA is apparent power or kilo amps. A power factor of 1 indicates perfect efficiency, with current and voltage changing polarity in step and electrical energy flowing in a single direction across the network in each cycle. This is seen in circuits with purely resistive loads, such as incandescent lamps or devices using heating elements like toasters and ovens.
However, in circuits with inductive or capacitive loads, such as electric motors, solenoid valves, transformers, or fluorescent lamp ballasts, the power factor can be well below 1. In these cases, the current waveform lags or leads the voltage, causing the voltage and current to be out of phase and reducing the average product of the two. This results in a higher current being required to supply loads, leading to increased energy losses, higher equipment costs, and reduced efficiency.
Improving the power factor through power-factor correction (PFC) techniques, such as adding PF correction capacitors, can lead to significant cost savings, enhanced efficiency, reduced power losses, and lower electric bills. A high power factor is generally desirable in a power delivery system.
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Electric potential difference
Mathematically, the electric potential difference between points A and B, denoted as VB - VA, is defined as the change in potential energy of a charge (q) moved from point A to B, divided by the charge. The units of potential difference are joules per coulomb, with one volt being equivalent to one joule of energy used by one coulomb of charge flowing between two points in a circuit. This relationship is expressed as:
> 1 V = 1 J/C
It is important to distinguish between potential difference and electrical potential energy. Voltage, or potential difference, represents the energy per unit charge, while energy refers to the total amount of work done or capable of being done. For example, a motorcycle battery and a car battery can have the same voltage but differ significantly in the amount of energy they store and deliver. This is because the energy delivered is dependent on the charge moved:
> ΔU = qΔV
In simpler terms, electricity is the flow of charge, creating what we know as current. This flow of charge occurs from the anode to the cathode in a conductor, powering various electrical devices. To understand electricity generation, it is crucial to comprehend parameters such as voltage, current, resistance, and conductivity, and how they interrelate.
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Frequently asked questions
There are several equations that relate to electricity, including those for power, current, and resistance.
The formula for electric power is P = VI, where P is power, V is voltage, and I is current.
The formula for electric current is I = Q / t, where I is current, Q is charge, and t is time.
The formula for resistance is R = ρl / A or R = V / I, where R is resistance, ρ is resistivity, l is length, A is area, V is voltage, and I is current.
Ohm's Law states that the voltage in "volts" multiplied by the current in "amps" gives an answer in "watts."
