Basic Electrical and Electronics Engineering: Unit I: Electrical Circuits

Phase Relation in Pure Capacitor

Circuit, Waveform, Formula with Solved Example Problems | Electrical AC Circuits

Consider the pure capacitor connected across a sinusoidal supply. The voltage and current are out of phase. The current leads the voltage by 90°.

PHASE RELATION IN PURE CAPACITOR

Consider the pure capacitor connected across a sinusoidal supply. The voltage and current are out of phase. The current leads the voltage by 90°.


V(t) = Vm sin (ωt - 90°)


Impedance Z =


where 

XC - capacitive reactance

Example: 11

In an AC circuit, the applied voltage is given by V = 200 sin 314 t and the expression for the leading current is given by i = 10 cos 314 t. Find the circuit constant and the power factor of the circuit. Draw the phasor diagram.

V = 200 sin 314 t

i = 10 cos 314 t

i = 10sin (314t+π/2)

Vm = 200, Im = 10



ω = 314



C = 159μf


Power factor = cos ϕ = cos π/2 = 0


Basic Electrical and Electronics Engineering: Unit I: Electrical Circuits : Tag: : Circuit, Waveform, Formula with Solved Example Problems | Electrical AC Circuits - Phase Relation in Pure Capacitor