capacitive reactance formula derivation ; physics

Capacitive reactance is defined as the opposition given to the flow of current in an a.c circuit by a capacitor, it s denoted by X_c and measured in omhs,

The formular is given by

X_C =

 To derive the formula for calculating capacitance in a circuit , let us define some terms first.

I =I₀ = sin௰t

Where I is the current, i₀ is the peak or maximum current and

௰ is the angular frequency and t is time in seconds

Now let us derive the formulars

function of capacitor in ac circuit

 THE CAPACITOR FUNCTION IS to store an electrical charges in a circuit and give it to back to the circuit when it need it , in order word the capacitor charges and discharges the electrical charges stored in it. It also prevent the flow of direct current and allow the flow of alternating current.

What is a capacitance 

Capacitance is the ability of a material to store electrical charges, . it is defines as the ration of a change in electric charges in circuit corresponding to the changes of its electrical potential. The component of a circuit that store or hold charges are called capacitors

Capacitance unit

 Capacitance are measured in farad, one farad is the capacitance between two parallel palate capacitor when the potential difference between them is 1volt. It is defined as the capacitance in a capacitor when it stored a current of one coulumb across a potential difference of one volt.

Farad has smaller unit as micro farad , 10^-6 farad,