The current is a device varies with time t as I=6 t, where ...

CBSE Class 12 Physics 2023 Outside Delhi Set 3 Paper

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Question : 6 of 13

Marks: +1, -0

The current is a device varies with time

t

as

I=6 t

, where

I

is in

{\mA}

and

{\t}

is in

{\ s}

. The amount of charge that passes through the device during

t=0

s to

t=

3 {\ s}

is

$10 {\mC}$
$18 {\mC}$
$27 {\mC}$
$54 {\mC}$

Solution: 👈: Video Solution

\;I\;=\;{d {\O}}/{d t}

\;\;\text " Or, "\;\;d Q\;=I \dt

\;\text " Or, "\;\;d Q\;=6 t \dt

\;\text " Or, "\;\;∫ d Q\;=∫↙{0}↖{3} 6 t \dt

\;\text " Or, "\;\;Q\;=6 ∫↙{0}↖{3} t \dt

\;\text " Or, "\;\;Q\;=6 [\;{t^2}/{2}] _0^3

\;\text " Or, "\;\;Q\;=27 {\mC}

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