Page 308 - Basic Electrical Engineering

Hence, it is proved that the average power obsorbed by a pure capacitor is
zero.

Example 3.6 An inductor of 0.5 H is connected across a 230 V, 50 Hz

supply. Write the equations for instantaneous values of voltage and current.

Solution:

The equations are

V = V sin ωt = 324 sin ωt = 324 sin 2π ft = 324 sin 314t
m

and

Example 3.7 A 230 V, 50 Hz sinusoidal supply is connected across a (i)

resistance of 25 Ω; (ii) inductance of 0.5 H; (iii) capacitance of 100 μF. Write
the expressions for instantaneous current in each case.

Solution:

given V = 230 V

V = V = 1.414 × 230 = 324.3 V
m
ω = 2πf = 2 × 3.14 × 50 = 314 rad/sec

Voltage equation is