What is the average value of alternating current over a complete cycle

The AC waveform used the most in circuit theory is that of the sinusoidal waveform or sine wave. A periodic AC waveform in the form of a voltage source produces an EMF whose polarity reverses at regular intervals with the time required to complete one full reversal being known as the waveforms period. Direct Current or D.C. as it is more commonly called, is a form of electrical current or voltage that flows around an electrical circuit in one direction only, making it a “Uni-directional” supply. Generally, both DC currents and voltages are produced by power supplies, batteries, dynamos and solar cells to name a few. A DC voltage or current has a fixed magnitude (amplitude) and a definite direction associated with it. For example, +12V represents 12 volts in the positive direction, or -5V represents 5 volts in the negative direction. We also know that DC power supplies do not change their value with regards to time, they are a constant value flowing in a continuous steady state direction. In other words, DC maintains the same value for all times and a constant uni-directional DC supply never changes or becomes negative unless its connections are physically reversed. An example of a simple DC or direct current circuit is shown below. An alternating function or AC Waveform on the other hand is defined as one that varies in both magnitude and direction in more or less an even manner with respect to time making it a “Bi-directional” waveform. An AC function can represent either...

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer See Answer See Answer done loading Question:The average velocity of the electrons in a conductor carrying a current of 65.5 amp is 0.0153 in. per sec. What is the cross-sectional area of the conductor? An alternating current having a sinusoidal wave shape has a maximum value of 28.2 amp. What is the average value (a) for a complete cycle, (b) for each alternation or half cycle? The current The average velocity of the electrons in a conductor carrying a current of 65.5 amp is 0.0153 in. per sec. What is the cross-sectional area of the conductor? An alternating current having a sinusoidal wave shape has a maximum value of 28.2 amp. What is the average value (a) for a complete cycle, (b) for each alternation or half cycle? The current supplied by a rectifier has a sinusoidal wave shape (see Fig. 1.6) with a maximum value of 7.85 amp. What is the average current if the rectifier is (a) of the full-wave type, (b) of the single-wave type? A conductor carries a current that may be regarded as equivalent to the sum of two components, one of them being a continuous direct current of 6.2 amp and the other a superimposed full-wave rectifier current (see Fig. 1.6b). If the latter has a maximum value of 4.4 amp, calculate the average current in the wire (a) if both components have the same direction, (b) if the two components are oppositely directed. ...

AC Circuits Alternating Voltages and Currents Introduction An alternating voltage is any voltage that varies in both magnitude and polarity with respect to time. The voltage may vary in a regular, predictable manner, or the voltage may vary in an irregular, nonrepetitive manner with respect to time. In either case, the voltage is considered to be an alternating voltage. The figure below shows an alternating voltage that varies in a regular manner with respect to time. A sawtooth waveform of voltage. An alternating current is any current that varies in both magnitude and direction. As with alternating voltages, there are no limitations on rate of change or waveshape. An alternating current is simply a current that changes magnitude and direction with time. Alternating currents and voltages are widely used to distribute electric power. However, the uses of alternating voltages and currents extend far beyond the distribution of electric power. All electronic communication systems, electronic computers, and electronic instrumentation systems require alternating currents and voltages as well as direct voltages and currents. When alternating voltages and currents supply electric power to operate other devices, the AC (the notation "AC" is common usage to denote either an alternating voltage or current or both) is usually produced by huge alternators (AC generators) operated by power companies. Electronic devices may also be used to develop AC voltages and currents. In this case,...

Hint: Obtain the equation for the alternating current by understanding the concept behind it. We can find the total current by integrating it over the time period of the complete cycle. Then we can find the average current over a complete cycle and divide the quantity obtained by the time period. Complete step by step answer: Consider a DC current. It is an electric current that flows in a single direction only. If we consider an Ac current or alternating current, it changes the direction of flow of current periodically. It changes the polarity of current or voltage periodically. We can define the alternating current in terms of a sinusoidal wave which has the same property as an AC i.e. it also produces waves with alternate polarity. AC current can be mathematically expressed as, $I=$ So, the average value of the alternating current is zero. The correct option is (A). Note: In DC current we always have a constant value. So, we don’t have a rms value of average value for DC current. In alternating current, the polarity of the current or the voltage changes periodically and that’s why we get rms values or average values for alternating current.