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If the current in an A C circuit is represented by the equatio

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Medium

Solving time: 3 mins

If the current in an $A C$ circuit is represented by the equation,
$i = 5 sin (300 t - π /4)$
Here, $t$ is in second and $i$ in ampere. Calculate
(a) peak and rms value of current
(b) frequency of $A C$
(c) average current

Name: Video solution 1: If the current in an AC circuit is represented by the equation,i=5sin(300t−π/4)Here, t is in second and i in ampere. Calculate(a) peak and rms value of current(b) frequency of AC(c) average current
Uploaded: 2022-09-30T00:31:10.000Z
Duration: 6 min
Description: Video solution 1: If the current in an AC circuit is represented by the equation,i=5sin(300t−π/4)Here, t is in second and i in ampere. Calculate(a) peak and rms value of current(b) frequency of AC(c) average current

Views: 5,692 students

Updated on: Sep 30, 2022

Book:

Electricity and Magnetism (DC Pandey)

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Mateo Discussed

If the current in an

A C

circuit is represented by the equation,

i = 5 sin (300 t - π /4)

Here,

t

is in second and

i

in ampere. Calculate
(a) peak and rms value of current
(b) frequency of

A C

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

(a) As in case of

A C

∴

The peak value,

i = i_{0} sin (ω t \pm ϕ)

and

i_{0} = 5 A

(b) Angular frequency,

i_{rms} = \frac{i _{0}}{2} = \frac{5}{2} = 3.535 A

ω = 300 rad / s

∴ f = \frac{ω}{2 π} = \frac{300}{2 π} \approx 47.75 Hz

(c)

i_{av} = (\frac{2}{π}) i_{0} = (\frac{2}{π}) (5) = 3.18 A

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Question Text	If the current in an $A C$ circuit is represented by the equation, $i = 5 sin (300 t - π /4)$ Here, $t$ is in second and $i$ in ampere. Calculate (a) peak and rms value of current (b) frequency of $A C$ (c) average current
Updated On	Sep 30, 2022
Topic	Alternating Current
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	167
Avg. Video Duration	6 min

If the current in an $A C$ circuit is represented by the equation,
$i = 5 sin (300 t - π /4)$
Here, $t$ is in second and $i$ in ampere. Calculate
(a) peak and rms value of current
(b) frequency of $A C$
(c) average current

Text solutionVerified

Filo tutor solutions (1)

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If the current in an AC circuit is represented by the equation,i=5sin(300t−π/4)Here, t is in second and i in ampere. Calculate(a) peak and rms value of current(b) frequency of AC(c) average current

Text solutionVerified

Filo tutor solutions (1)

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If the current in an $A C$ circuit is represented by the equation,
$i = 5 sin (300 t - π /4)$
Here, $t$ is in second and $i$ in ampere. Calculate
(a) peak and rms value of current
(b) frequency of $A C$
(c) average current