Algebra: What is mean Proportion and How to solve it?

A proportion such as 1:2 =2:4 or a:b = b:c  is called a mean proportion because the second and the third terms are equal. In the latter b is the mean proportional between the first and the last terms a and c, respectively and c is the third proportional to a and b. Solving for the mean proportional  Given  in...

Algebra: How to solve the Equations containing decimals

Equations containing decimals are equations with fractions. hence the solution of decimal equations is similar to that of fractional equations with this difference-in decimal equation the multiplier of both members is that power of ten that will clear the equations of its decimal. Example1. Solve for x:                        ...

Algebra : How to solve a Literal equation

Equations where the known quantities are expressed as letters are called literal equations. Formulas are literal equations. Generally, the last letter of the alphabet are used to represent the unknown quantities, and the first letters, the known quantities. Examples: Solve for the unknown and check 1. 3x + 2a = 2x+5a     transposing     3x - 2x = 5a - 2a   ...

Power Factor for a more efficient circuit and loading

Power factor is an important aspect to consider in AC circuit, because any factor less than 1 means that the circuit wiring has to carry more current than what would be necessary with zero reactance in the circuit to deliver the same true power to the resistive load.     When expressed as fraction, the ratio between true power and  apparent power is called the power factor of the...

RLC parallel circuit formula and Phasor diagram

RLC in parallel RCL parallel circuit can be considered as two reactance's XC and XL where the currents are in phase opposition in parallel with the resistor. Through the use of  the phasor diagram the effective total resistance can be found  . It can be observed that IR is at the base...