The formula for current in each conductor depends on the context in which the question is asked, as there are different scenarios in electrical circuits where the calculation of current might vary. Here are some common formulas related to current in conductors under different circumstances:

1. Ohm’s Law: This is the most fundamental when considering a single conductor (or a simple circuit). Ohm’s Law states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. The formula is given by:

[ I = frac{V}{R} ]

Where (I) is the current in amperes (A), (V) is the voltage in volts (V), and (R) is the resistance in ohms ((Omega)).

2. For Conductors in Series: In a series circuit, the current is same through each conductor because there is only one path for current flow. If there are (n) resistors (or conductors with resistance) in series connected to a voltage source (V), and if (R_{total}) is the total resistance (sum of all individual resistances), the current (I) flowing through each resistor is given by:

[ I = frac{V}{R_{total}} ]

3. For Conductors in Parallel: In a parallel circuit, the voltage across each conductor is the same. If

The formula to calculate the flux per pole (Phi) in terms of electrical machines is given by:

[

Phi = frac{E times 60}{N_s times P times A}

]

Where:

– (Phi) is the magnetic flux per pole in Weber (Wb)

– (E) is the generated EMF (electromotive force) in volts (V)

– (60) is a conversion factor used to convert from revolutions per minute (rpm) to seconds

– (N_s) is the synchronous speed in revolutions per minute (rpm)

– (P) is the number of poles in the machine

– (A) is the number of parallel paths in the armature winding

This formula is especially relevant for electrical machines such as synchronous machines or generators, allowing for the calculation of the magnetic flux per pole based on the machine’s electrical and mechanical parameters.

The statement that the coil span should be 8.33 percent of the pole pitch to obtain the maximum reduction of harmonics is incorrect. In electrical engineering, specifically in the design of AC machines like alternators and induction motors, the coil span or coil pitch is an important factor in reducing harmonics. However, the optimum coil span to achieve the maximum reduction of harmonics is not 8.33 percent of the pole pitch; rather, it is generally advisable that the coil span be equal to one pole pitch.

The pole pitch is defined as the peripheral distance between the centers of two adjacent poles in an electrical machine, and it is directly related to the number of poles and the circumference of the armature. A pole pitch corresponds to 180 electrical degrees.

To minimize the effect of harmonics, especially the 5th and 7th harmonics which are the most detrimental, the coil span is often designed to be close to or exactly equal to one pole pitch. This equates to spanning the coil 180 electrical degrees.

When the coil span is equal to the pole pitch, it effectively means that when winding the coils, you place the two sides of the coil under two adjacent poles. This arrangement helps in achieving what’s known as “short pitching” or “chording,” which can significantly reduce the amplitude of certain harmonics produced by the machine, leading to a smoother and more efficient operation.

In specific configurations, adjusting the coil span slightly less than a full pole pitch might

Fractional windings are not invariably used in synchronous machines; rather, they are a specific design choice applicable under certain conditions and for achieving certain objectives. Synchronous machines can be designed with both integral and fractional windings. The choice between using fractional or integral windings depends on various factors including the desired electrical performance, manufacturing considerations, and cost implications.

The primary reason for using fractional windings in some synchronous machines is to improve their electrical performance characteristics such as reducing harmonics, improving torque smoothness, and distributing the winding more evenly. Fractional windings help in achieving a more uniform air gap flux distribution, which is especially beneficial in applications requiring high precision and smooth operation.

In summary, while fractional windings are a valuable tool in the design of some synchronous machines, they are not universally used in all synchronous machines. Their application depends on specific design and performance goals.

The force between two charges is governed by Coulomb’s law, which states that like charges repel and unlike charges attract each other. Given one charge is positive (1C) and the other is negative (-4C), the force between these charges will be attractive. This means the direction of the force on each charge will be towards the other charge. So, the force on the 1C charge is directed towards the -4C charge, and the force on the -4C charge is directed towards the 1C charge.