In a circuit, the applied voltage is 100 V and is found to lag the cur

1.	In a circuit, the applied voltage is 100 V and is found to lag the current of 10 A by 30°.(i) Is the p.f. lagging or leading ? (ii) What is the value of p.f. ? (iii) Is the circuit inductive or capacitive ? (iv) What is the value of active and reactive power in the circuit ?
Answer» The applied voltage lags behind the current which, in other words, means that current leads the voltage. (i) ∴ p.f. is leading (ii) p.f. = cos φ = cos 30° = 0.866 (lead) (iii) Circuit is capacitive (iv) Active power = VI cos φ = 100 × 10 × 0.866 = 866 W Reactive power = VI sin φ = 100 × 10 × 0.5 = 500 VAR (lead) or VAR = √((VA)² - W²) = √((100 x 10)² - 866²) = 500(lead)

In a circuit, the applied voltage is 100 V and is found to lag the current of 10 A by 30°.(i) Is the p.f. lagging or leading ? (ii) What is the value of p.f. ? (iii) Is the circuit inductive or capacitive ? (iv) What is the value of active and reactive power in the circuit ?

Answer»

The applied voltage lags behind the current which, in other words, means that current leads the voltage.

(i) ∴ p.f. is leading

(ii) p.f. = cos φ = cos 30° = 0.866 (lead)

(iii) Circuit is capacitive

(iv) Active power = VI cos φ = 100 × 10 × 0.866 = 866 W

Reactive power = VI sin φ = 100 × 10 × 0.5 = 500 VAR (lead)

or VAR = √((VA)² - W²) = √((100 x 10)² - 866²) = 500(lead)

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In a circuit, the applied voltage is 100 V and is found to lag the current of 10 A by 30°.(i) Is the p.f. lagging or leading ? (ii) What is the value of p.f. ? (iii) Is the circuit inductive or capacitive ? (iv) What is the value of active and reactive power in the circuit ?

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