Page 338 - Basic Electrical Engineering
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I = I + I = 10 ∠ − 40° + 10 ∠48°
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I = 10 cos 40° − j 10 sin 40° + 10 cos 48° + j 10 sin 48°
= (10 cos 40° + 10 cos 48°) + j (10 sin 48° − 10 sin 40°)
= 10 × 0.766 + 10 × 0.669 + j (10 × 0.743 − 10 × 0.642)
= 7.66 + 6.69 + j ( 7.43 − 6.48 )
= 14.35 + j 0.95
= 14.45 A
Power factor angle,
Power factor, cosϕ = 0.99
Active power = VI cosϕ
= 100 × 14.45 × 0.99
= 1330 W
Reactive power = VI sinϕ
= 100 × 14.45 × 0.069
= 99.7 VAR
3. Use of phasor algebra
