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In pure inductor circuit, angle between voltage and current is
0┬░
30┬░
60┬░
90┬░
90┬░
In a pure inductive circuit, the current lags behind the voltage by an angle of 90┬░ (or 2╧АтАЛ radians). This occurs because the induced back-EMF opposes the change in current, forcing the current waveform to reach its peak later than the voltage.
In a pure inductive circuit, the current lags behind the voltage by an angle of 90┬░ (or 2╧АтАЛ radians). This occurs because the induced back-EMF opposes the change in current, forcing the current waveform to reach its peak later than the voltage.
vLтАЛ=LdtdiтАЛ тАФ Instantaneous voltage across an inductor
XLтАЛ=2╧АfL тАФ Inductive reactance in Ohms
╧Х=90┬░ тАФ Phase shift in a pure inductor
According to Faraday's Law, the induced voltage across an inductor is given by v(t)=LdtdiтАЛ. For a sinusoidal current i(t)=ImтАЛsin(╧Йt), the resulting voltage is v(t)=╧ЙLImтАЛsin(╧Йt+90┬░). Thus, the phase difference ╧Х between voltage and current is exactly 90┬░, confirming that the inductor is a purely reactive element that does not dissipate real power.
A pure inductor has zero resistance and zero conductance.
The power factor of a purely inductive circuit is zero lagging.
Inductors store energy in the form of a magnetic field.
Real inductors always contain a small amount of internal series resistance (R).
Inductors can be used as filters to block high-frequency noise.
Useful for energy storage in magnetic fields for power electronics converters.
Purely inductive circuits are theoretical; real inductors have parasitic resistance.
High inductive loads can cause voltage spikes during switching.
Tuned circuits and oscillators in radio frequency communication.
Chokes for smoothing current in DC power supplies.
At 90┬░ phase shift, the average power consumption P=VIcos(90┬░)=0 Watts.
Option A is 0, which corresponds to a purely resistive circuit.
Options B and C represent RL circuits where R>0.
D is correct тАФ In a purely inductive circuit, the back-EMF created by the changing magnetic flux causes the current to lag the voltage by exactly 90┬░.
Remember 'ELI' for inductors: In an Inductor (L), Current (I) comes after Voltage (E).