Electric and Magnetic Fields: Alternating Currents
Electric and Magnetic Fields: Alternating Currents
Alternating Currents
- Alternating current (AC) is a type of electrical current in which the direction of the flow of electrons switches back and forth at regular intervals or cycles.
- AC is produced by most power stations and is used in home and office supplies.
Generation of AC
- A basic AC generator, also known as an alternator, can be constructed using a coil of wire rotating in a magnetic field.
- As the coil rotates, the magnetic field induces a current which switches direction as the relative orientation of the coil changes. This leads to an electrical output that varies sinusoidally over time.
- The rate at which the direction of the current changes is the frequency, usually measured in hertz (Hz).
Characteristics of an AC Waveform
- An AC waveform can be represented graphically with time on the x-axis and current or voltage on the y-axis.
- The peak or maximum value is the maximum voltage or current delivered in one cycle.
- The period (T) is the time taken for one complete cycle.
- The frequency (f) is the number of cycles per second.
- The root mean square (rms) is used to define a type of average of a waveform. It refers to the square root of the mean of the squares of all the instantaneous values during one cycle.
Transformers and AC
- Transformers only work with AC, not DC.
- Transformers can step up (increase) or step down (decrease) the voltage. This is vital for efficient power distribution.
- The turns ratio of a transformer determines the factor by which it will step up or step down the voltage.
Power and AC
- The instantaneous power, p, in an AC circuit is given by the product of the instantaneous voltage and the instantaneous current.
- The average power can be represented as P_av = I_rmsV_rms cosΦ where I_rms is the rms current, V_rms is the rms voltage and cosΦ is the power factor.
- The power factor represents the phase angle difference between the current and the voltage.