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.