Alternating current Assignment Help

Assignment Help:>>Physics>> Alternating current

If a capacitor of capacitance C is connected across the alternating source, the spontaneous charge on the capacitor,

q = CVC= CV0sin wt

and the instantaneous current i going through it, is shown by:

1211_Alternating current.png

or i = i0sin (wt + p/2)

1432_Alternating current1.png

Here, V = i/wC

This equation gives that the quantity is the effective ac resistance or the capacitive reactance of the capacitor and is represented as XC. It has unit as ohm. Thus, X =1/wC

It is seems that the current has the voltage by 90° or the potential drop across the capacitor lags the current passing it by 90°.

Diagram gives V and i as functions of time t.

1364_Alternating current2.png

Inductor in an AC Circuit:Consider a pure inductor of self inductance L and zero resistance connected to an alternation source. Again we suppose that an instantaneous current i = i0sin wt flows through the inductor. Although there is no stoppage, there is a potential difference VLin between the inductor terminals a and b because the current changes with time, giving rise to self induced emf.

254_Alternating current3.png

614_Alternating current4.png

Equation (iii) shows that effective ac resistance, i.e., productive reactance of inductor is,

XL= wL

And the maximum current, i=V/XL

The unit of XLis also ohm.

From Equations. (i) and (iii) we see that the voltage across the inductor leads the current passing through it by 90°.

Diagram defines VLand i as functions of time.

1191_Alternating current5.png

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