Question

Some amount of charge is flowing through the cross section of the conductor during a time period of Y seconds. If the current flowing through the conductor is X ampere then find the amount of charge that flows through any cross section of the conductor​

Answer 1

Required Answer:-

Current flowing in a circuit is the rate of flow of charges inside it. Mathematically,

$\large{ \boxed{ \red{ \rm{I= \frac{Q}{t} }}}}$

Here, we have:

• Time period = Y seconds
• Amount of current flowing = X ampere.

Then,

The relation can be written as

➛ Q = It

Plugging the values given,

➛ Q = X amperes × Y seconds

➛ Q = XY As

Here, Both amperes and second is the SI unit of the quantities. Then, we can use Coulombs instead of Amperes-sec. Hence, Charge flowing = XY coulombs.

Answer 2

$\Large{\textsf{\textbf{\underline{\underline{Given\::}}}}}$

• Some amount of charge is flowing through the cross section of a conductor during a time period of Y seconds.

• Current flowing through the conductor is X ampere.

$\Large{\textsf{\textbf{\underline{\underline{To\:do\::}}}}}$

• The amount of charge that flows through any cross section of the conductor.

$\Large{\textsf{\textbf{\underline{\underline{Solution\::}}}}}$

As we know that,

If a charge Q crosses an area in time t, then the electric current through the area during this time is,

⠀⠀⠀⠀⠀$\orange\bigstar\:{\Large\mid}\:\bf\purple{Current\:(I)\:=\:\dfrac{Charge\:(Q)}{Time(t)}\:}\:{\Large\mid}\:\green\bigstar$

$\dashrightarrow\:\bf{Q\:=\:I\times{t}\:}$

According to the question,

• Time period (t) = Y second

• Current (I) = X ampere

$\dashrightarrow\:\bf{Q\:=\:X\times{Y}\:}$

$\dashrightarrow\:{\textsf{\textbf{\pink{Q\:=\:(X Y)\: Coulombs}}}}$

∴ The amount of charge (Q) that flows through any cross section of the conductor is XY coulombs.

⠀

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