why is resistance of a resistor taken in real form and that of capacitor and inductor taken in complex form.why cant the all be real???

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In a resistor current and voltage are in phase, that is their relation can be expressed with a real number (Resistance, R); in inductors and capacitors current and voltage are out of phase and the only way to express their relation is using a complex number, with a magnitude value and a phase value (Impedance, Z)

I agree. And the reason why v and I are out of phase is that the relation between V and I is differential. Differentiating cosine and sine gives sine and cosine respectively. So their phase is out of 90 degree.

yes defenetily into it..

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