AVERAGE VALUE OF SINUSOIDAL CURRENT

The alternating current varying sinusoidally, as shown in Figure 6.9, is given by the equation:

 

i = I_msinθ

Fig. 6.9  Current varying sinusoidally

Consider an elementary strip of thickness dθ in the positive half cycle, i be its mid-ordinate. Then,

Area of strip = idθ

Area of half cycle

= I_m[–1(–1–1)] = 2I_m

Base = 0 to π = π − 0 = π

∴ Average value,