Question

A current of 0.5 A flows through a wire for 6 minutes. How much charge would have passed through the wire?*​

Answer 1

Working out:

Question based on the relation of charge, time and current. And the relation is:

• The rate of flow of charge through an cross sectional area of a Conductor is called the electric current. It is given by I = Q / t.

In the question, Given:

• Current flowing = 0.5 A
• Time = 6 minutes

We have to find the charge !

Current is having its SI unit but the unit of Time is minutes given which is not the SI unit. So, let's convert it into seconds.

⇛ 1 minutes = 60 s

⇛ 6 minutes = 360 s

Now let's use the formula to find the charge flowing inside the conductor:

⇛ I = Q / t

Plugging the given values of quantities,

⇛ 0.5 A = Q / 360 s

⇛ Q = 0.5 × 360 coulombs (Unit of Charge: Coulombs)

⇛ Q = 180 Coulombs

Charge flowing through the conductor:

$\huge{ \boxed{ \red{ \bf{180 \: C}}}}$

And we are done !!

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Answer 2

$\sf{\gray{\underline{\underline{\purple{GIVEN:-}}}}}$

• A current of 0.5A flows through a wire for 6 minutes .

$\sf{\gray{\underline{\underline{\purple{TO\: FIND:-}}}}}$

• How much charge would have passed through the wire .

$\sf{\gray{\underline{\underline{\purple{SOLUTION:-}}}}}$

$\red\star\:\bf{\pink{\boxed{\boxed{\orange{Charge(q)\:=\:Current(I)\times{Time(t)}\:}}}}}$

• Current (I) = 0.5A

• Time (t) = 6 min. = 6 × 60 = 360s

$\rm{\implies\:Charge(q)\:=\:0.5\times{360}\:}$

$\rm\green{\implies\:Charge(q)\:=\:180\:C\:}$

$\rm\pink{\therefore}$ 180 coulombs of chrage would have passed through the wire .