Physics

Alternating Current

Power in AC Circuit: The Power Factor

The potential difference V and the current i flowing through a

Question

Medium

Solving time: 3 mins

The potential difference $V$ and the current $i$ flowing through an instrument in an $AC$ circuit of frequency $f$ are given as $V = cos ω t$ volts and $i = 2 sin ω t$ amperes. The power dissipated in the instrument is:

Name: Video answer for The potential difference V and the current i flowing through an instrument in an AC circuit of frequency f are given as V=cosωt volts and i=2sinωt amperes. The power dissipated in the instrument is:
Uploaded: 2023-03-14T20:20:24.000Z
Duration: 15 min
Description: The potential difference V and the current i flowing through an instrument in an AC circuit of frequency f are given as V=cosωt volts and i=2sinωt amperes. The power dissipated in the instrument is:

Zero

10 W

5 W

2.5 W

Views: 5,523 students

Updated on: Mar 14, 2023

Book:

Physics Galaxy Magnetism, EMI Alternating Current Vol 3 B (Ashish Arora)

Text solutionVerified

(A) The given voltage and current can be written as

V = 5 cos ω t = 5 sin (ω t + \frac{π}{2})

and

i = 2 sin ω t

So the phase difference between voltage and current is

ϕ = π /2

and power dissipated in the instrument is given as

P = V_{rms} i_{rmy} cos ϕ = 0

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Mila Discussed

The potential difference

V

and the current

i

flowing through an instrument in an

AC

circuit of frequency

f

are given as

V = cos ω t

volts and

i = 2 sin ω t

amperes. The power dissipated in the instrument is:

10 mins ago

Discuss this question LIVE

10 mins ago

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Question Text	The potential difference $V$ and the current $i$ flowing through an instrument in an $AC$ circuit of frequency $f$ are given as $V = cos ω t$ volts and $i = 2 sin ω t$ amperes. The power dissipated in the instrument is:
Updated On	Mar 14, 2023
Topic	Alternating Current
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	166
Avg. Video Duration	15 min

The potential difference $V$ and the current $i$ flowing through an instrument in an $AC$ circuit of frequency $f$ are given as $V = cos ω t$ volts and $i = 2 sin ω t$ amperes. The power dissipated in the instrument is:

Text solutionVerified

Video solutions (1)

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The potential difference V and the current i flowing through an instrument in an AC circuit of frequency f are given as V=cosωt volts and i=2sinωt amperes. The power dissipated in the instrument is:

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Video solutions (1)

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The potential difference $V$ and the current $i$ flowing through an instrument in an $AC$ circuit of frequency $f$ are given as $V = cos ω t$ volts and $i = 2 sin ω t$ amperes. The power dissipated in the instrument is: