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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
Related Questions: - A common emitter amplifier has a voltage gain of 50, an input impedance of 100Ω
- Which one of the following is not due to total internal reflection?
- The speed of light in media M₁ and M₂ are 1.5×10⁸ ms⁻¹ and 2×10⁸ ms⁻¹ respectively.
- A string is stretched between fixed points seperated by 75 cm. It is observed
- A plank with a box on it at one end is gradually raised about the other end.
Topics: Alternating Current
(96)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A common emitter amplifier has a voltage gain of 50, an input impedance of 100Ω
- Which one of the following is not due to total internal reflection?
- The speed of light in media M₁ and M₂ are 1.5×10⁸ ms⁻¹ and 2×10⁸ ms⁻¹ respectively.
- A string is stretched between fixed points seperated by 75 cm. It is observed
- A plank with a box on it at one end is gradually raised about the other end.
Topics: Alternating Current (96)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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