What is the power dissipation (in W) in an ideal inductor having an in...
AC through Pure Inductor:
Consider a pure inductor of inductance L connected to an alternating voltage given by,
v = Vm sin ωt
An alternating current (i) flows through the inductor and sets up a changing magnetic field and it induced a back EMF (-L di/dt).
By using KVL,
Integrating on both side,
The phasor diagram can be drawn as,
From the phasor diagram, it is clear that the phase angle between voltage and current is 90°.
We know that the power factor is the cosine angle of voltage and current,
Hence, Power Factor = cos ϕ = cos 90° = 0
We know that,
Power Dissipation (P) = VIcos ϕ
Since, ϕ = 90° ⇒ cos ϕ = cos 90° = 0
Hence, Power Dissipation (P) = 0