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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
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Topics: Alternating Current
(96)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Electrons with energy 80 keV are incident on the tungsten target of an X-ray tube.
- A particle is kept at rest at the top of a sphere of diameter 42m.When disturbed slightly
- A thermally insulated rigid container contains an ideal gas heated by a filament
- A circuit area 0.01 m² is kept inside a magnetic field which is normal to its plane.
- Two coherent monochromatic beams of intensities I and 4I respectively, are superposed.
Topics: Alternating Current (96)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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