Question

A charge of 12 C passes through the filament of a car headlamp bulb in
4s. What is the current?​​

Answer 1

Answer :

• The current of the filament , when a charge of 12 X passes through it in 4 s , I = 3 A.

Explanation :

Given :

• Charge flowing through the conductor , Q = 12 C

• Time taken by the charge to flow in the filament , t = 4 s

To find :

• The current in the filament , I = ?

Knowledge required :

By definition, charge is the product of the current and the time ,i.e,

⠀⠀⠀⠀⠀⠀⠀⠀⠀Q = It

Where :

• Q = Charge
• I = Current
• t = Time taken

From the above relation , we get that,

Charge is the rate of flow of charge .

Mathematically,

⠀⠀⠀⠀⠀⠀⠀⠀⠀I = Q/t

Solution :

By using the relation for current and by substituting the values in it, we get :

==> I = Q/t

==> I = 12/4

==> I = 3

∴ I = 3 A

Therefore,

• The current in the filament is 3 A.

Answer 2

Given :-

• A charge of 12 C is passed through the filament of a car headlamp bulb in 4 secs.

To Find :-

• What is the current through the filament .

Formula Used :-

$\boxed{\bold{\large{I\: = \dfrac{Q}{t}}}}$

Solution :-

Given :

• Charge (Q) = 12 C
• Time taken (t) = 4 secs

According to the question by using the formula we get,

⇒ I = $\dfrac{12}{4}$

⇒ I = $\sf\dfrac{\cancel{12}}{\cancel{4}}$

➠ I = 3 A

$\therefore$ The current through the filament is 3 A .