The instantaneous values of alternating current and voltages in a circuit are given as

⇦

⇨

The instantaneous values of alternating current and voltages in a circuit are given as
i = 1/√2 sin (100πt) amper
e = 1/√2 sin (100πt + π/3) Volt
The average power in Watts consumed in the circuit is:

Options

(a) 1/4
(b) √3 / 4
(c) 1/2
(d) 1/8

Correct Answer:

1/8

Explanation:

The average power in the circuit where cos ? = power factory

= Vᵣₘₛ x Iᵣₘₛ cos ?
? = π/3 = phase difference = 180/3 = 60
Vᵣₘₛ = 1/√2 / √2 = 1/2 volt
Iᵣₘₛ = 1/√2 / √2 = (1/2) A
cos ? = cos π/3 = 1/2

= 1/2 x 1/2 x 1/2 = 1/8 W

Related Questions:

1. Magnetic flux φ (in weber) linked with a closed circuit of resistance 10 Ω varies
2. The energy band gap is maximum in
3. An oscillator circuit consists of an inductance of 0. mH and a capacitor of 20 μF.
4. In the phenomenon of electric discharge through gases at low pressure,
5. A parallel plate air capacitor is charged to a potential difference of V volts.

Topics: Alternating Current (96)
Subject: Physics (2479)

---

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

---

Share this page with your friends